幾何
三角形、円、座標幾何、証明問題。
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what are possible lengths, in units, of a, b, and c? express your answe…
\(a\): \(1\) (or any positive real number \(x\), here we use \(x = 1\) as an example) \(b\): \(\sqrt{3}\) (corresponding to \(a = 1\)) \(c\): \(2\) (corresponding to \(a = 1\)) (N…
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what is the best estimate for the length of a book? 20 centimeters, 2 m…
20 centimeters
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student name: date: directions: use the graphic organizer below to help…
| Theory | Graphic Symbol Description | |--|--| | Maslow’s Hierarchy of Needs | A pyramid (triangle) with a wide base (lower needs: physiological, safety) narrowing to a point at …
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an isosceles trapezoid is shown. what is the value of x? ① 37 ② 42 ③ 64…
\(79\) (corresponding to option D)
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find the value of x 125 54 answer additional solution no solution
\(71\)
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the angles of a triangle are the following: m∠1 = 4x + 12 m∠2 = 6x − 3 …
Angle 1 = \(64^\circ\) Angle 2 = \(75^\circ\) Angle 3 = \(41^\circ\)
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line segment ad is tangent to the circle at point d and intersects ac a…
\( m\widehat{BD}=\boldsymbol{80}^\circ \) (any value less than 130° is acceptable, here we use 80° as an example) \( m\widehat{CXD}=\boldsymbol{230}^\circ \) (corresponding to \( …
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her steps are shown. step 1 she plots a point, c, on line k. step 2 she…
A. In Step 2, she adjusted the width to point \( B \) instead of point \( A \).
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b13. find m∠bag. * 59° 118° 236° use your notes on incenters to complet…
\( 59^\circ \) (the option with \( 59^\circ \))
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which sequence of transformations would return a shape to its original …
D. Reflect over line \( l \), then reflect over line \( l \) again.
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turner, daniya | last saved: 8:59 am which statement best describes why…
She confused a parallel cross section with a perpendicular cross section.
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b17. find ac. (hint: use pythagorean theorem) * ○ no mode answer ○ 19.8…
s: - B17: \( \boldsymbol{20.3} \) (Option with 20.3) - B11: \( \boldsymbol{118^\circ} \) (Option with \( 118^\circ \)) - B12: \( \boldsymbol{40^\circ} \) (Option with \( 40^\circ …
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a rectangular region is removed from another rectangular region to crea…
96
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a figure composed of a right cylinder and a right cone is shown. image …
A. A rectangle is only one component of the composite cross section.
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a rectangular region is removed from another rectangular region to crea…
80
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the three pairs of figures. which transformation takes figure a to figu…
a translation
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locked mode is on. to avoid losing your progress, complete the full qui…
\( 20^{\circ} \) (the option with \( 20^{\circ} \)) ### B16: Find \( BG \) (using Pythagorean Theorem)
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a diagram is shown, where ( m perp k ) and ( s parallel q ). what is th…
\( 128 \)
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in the figure below, m∠1 = 32°. find m∠2, m∠3, and m∠4. m∠2 = ☐° m∠3 = …
\( m\angle2 = \boldsymbol{148}^\circ \) \( m\angle3 = \boldsymbol{32}^\circ \) \( m\angle4 = \boldsymbol{148}^\circ \)
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which transformation takes figure a to figure b in pair 2? ○ a translat…
a rotation
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given the triangle below, what is the length of the hypotenuse? image o…
D. \(\sqrt{20}\space\text{cm}\)
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what is the area of a circular region whose diameter is 6 centimeters? …
D. \( 9\pi \) square cm
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pezoid s’t’u’v’ is created by reflecting trapezoid stuv over a line. th…
Trapezoid \(STUV\) is reflected over the line \(y = - 2\). The rule \((x,y)\to(x,-4 - y)\) (or \((x,y)\to(x,2\times(-2)-y)\)) can be used to create trapezoid \(S'T'U'V'\).
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airs of figures. which transformation takes figure a to figure b in pai…
a translation
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vivian draws a square inscribed in a circle. the circle has a diameter …
\(x\sqrt{2}\)
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a claim is given. \if two angles are supplementary, then they are adjac…
# Explanation: ## Step1: Recall definitions Supplementary angles sum to \(180^\circ\), adjacent angles share a common side and vertex. A counterexample must have supplementary ang…
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josefina is inscribing a square in a circle with center c. she first us…
C. Use a straight edge to connect the four points where the circle intersects the diameters.
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a claim is given. \if two angles are supplementary, then they are adjac…
# Explanation: ## Step1: Recall definitions Supplementary angles: Sum to \(180^\circ\). Adjacent angles: Share a common side and vertex. Counterexample: Angles that are supplement…
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a volleyball has a surface area of 67.24π square inches. what is the di…
\( 8.2 \)
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find the value of x. diagram: right triangle (right angle, vertical leg…
B. \(28\sqrt{3}\)
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use the image above to answer the following question. δabc is reflected…
The line of reflection is \( x = 0 \) (the y - axis).
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intersecting arcs from points p and same compass width. she labels tion…
- $\boldsymbol{\overline{PQ} \perp \overline{RS}}$ (checked) - $\boldsymbol{\overline{PQ} \text{ bisects } \overline{RS}}$ (checked) - $\boldsymbol{\overline{RS} \text{ bisects } …
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select all that can be used to prove that the two triangles are congrue…
- Angle - Side - Angle - Angle - Angle - Side
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the given transformations map △ qrs onto its image △ q’r’s’. • a dilati…
First blank: dilations with a scale factor of 1; Second blank: translations (the \((x,y)\to(x - 2,y + 2)\) transformation); Relationship: are equal to
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trapezoid fghi is shown, where ∠ gfi is a right angle. what is the area…
# Explanation: ## Step1: Identify coordinates of vertices From the graph, we can determine the coordinates of the vertices: - \( G(-4, 0) \) - \( F(-2, -4) \) - \( I(4, -1) \) - \…
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chords ab and cd intersect at point e. in the diagram shown, ae = 3 uni…
\(\sqrt{6}\)
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use a compass and straightedge to bisect ∠v. your final answer should b…
The bisector ray of \( \angle V \) is drawn as described (a ray starting at \( V \) and passing through the intersection point of the two arcs inside the angle).
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ernesto sews a rectangular blanket with a patterned center and a solid …
\( 96w + 1024 \) (or equivalent expanded form)
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the polygons below are similar. find the values of x and y. a) find the…
s: a) \( x = 23.4 \) b) \( y = 6 \)
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name date place value brain check i can use place value to understand n…
s: 1. (Assuming correct count, maybe 20? Wait, maybe I miscounted. Wait, maybe the first problem has 20 sticks? Or 21? Let's assume the first problem: if we circle groups of 10, l…
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which angle number represents the linear pair of ∠wyt? diagram showing …
5
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claudia knows the given information about quadrilateral fghi. - not all…
A. The diagonals bisect each other.
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pyramid a has a surface area of 256 square inches. pyramid a is dilated…
64
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the figure shown is formed by three overlapping congruent circles. • th…
\( 25\pi \)
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which triangle results from a reflection across the line x = 1?
To determine the reflection of triangle \( ABC \) across the line \( x = 1 \), we analyze the coordinates of the vertices: - Original \( A \): \( (1, 2) \)? Wait, no—wait, looking…
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use the vocabulary words provided to complete the statements below. ins…
angle bisector ### 6.
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a true conditional statement is given. \if a point is on the perpendicu…
First blank: not on the perpendicular bisector of a line segment; Second blank: not equidistant from a line segment’s endpoints
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the diameter of a soccer ball is 8.65 inches. what is the volume of the…
D. 313.42 in³ To find the volume of a sphere (soccer ball), we use the formula \( V = \frac{4}{3}\pi r^3 \). The diameter is 8.65 inches, so the radius \( r = \frac{8.65}{2} = 4.3…
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the point (16, 12) lies on a circle that is centered at the origin. cre…
\((x + \boldsymbol{0})^2 + (y + \boldsymbol{0})^2 = \boldsymbol{400}\)
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the graph shows the function that defines the shape of a piece of playg…
16 ft
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10. bailey has a sheet of plywood with four right angles. she saws off …
# Explanation: ## Step1: Analyze the original shape The original plywood has four right angles, so it's a rectangle (since a rectangle has four right angles). ## Step2: Sawing off…
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10. hailey has a sheet of plywood with four right angles. she saws off …
3 (Note: This is a possible answer, the exact answer may depend on the exact way the angle is sawn off, but a common result is 3 right angles) ### Problem 11
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circle j has a radius of 10 units, and points k, m, and l are on the ci…
\( 23.56 \)
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9 directions - use the diagram below to find the following measures: gn…
\( x = 6 \) \( \angle MGN = 24 \) degrees \( \angle OGN = 24 \) degrees \( \angle MGO = 48 \) degrees
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4. tarik is working on a photo album and moved a photo as shown. what t…
Translation (or Slide) ### Problem 5
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right prism r and oblique prism s are shown, with dimensions in units. …
The volume of prism S is \( 336 \) cubic units. The volume of prism S is equal to the volume of prism R.
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marissa starts the construction of the inscribed circle of △ pqr, as sh…
D. Construct a perpendicular segment to side \( RP \) through point \( M \).
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to access a landing that is nine feet above the adjacent floor, a worke…
Yes
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10. to determine the distance between points x and y on the opposite si…
The distance \(XY\) is approximately \(\boldsymbol{257.4}\) meters (rounded to one decimal place)
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3. what are the actual dimensions of the parking lot? 1 in. = 200 ft (d…
The actual dimensions of the parking lot are length \(1000\) feet and width \(300\) feet.
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9. a triangular piece of land is bounded by 135 ft of fencing on one si…
The interior angles are approximately \( 27.1^{\circ} \), \( 30.6^{\circ} \) and \( 122.3^{\circ} \)
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question 20 of 20 : select the best answer for the question. 20. whats …
C. \( 216\space cm^3 \)
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you know that if two lines intersect, their intersection is a single po…
Hay 2 maneras diferentes en que tres líneas únicas en un plano (sin dos paralelas) pueden intersectarse: 1) todas las tres líneas se intersectan en un solo punto; 2) cada par de l…
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question 19 of 20 : select the best answer for the question. 19. whats …
D. Trapezoid
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given (overline{mno}), use the protractor to measure (angle mnp) and (a…
∠MNP = \(60^\circ\), ∠ONP = \(120^\circ\), Sum = \(180^\circ\) (Note: Actual measurement may vary slightly based on precise protractor alignment, but the sum should be \(180^\circ…
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8. determine the lengths of the three unknown sides of the tract of lan…
\(AB\approx423\) ft, \(BC\approx878\) ft, \(CD\approx1030\) ft (or more precise values based on calculation, here rounded for simplicity)
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given \\(\\overline{bcd}\\), use the protractor to measure \\(\\angle b…
If \(\angle BCE = 130^\circ\) and \(\angle DCE = 50^\circ\), then their sum is \(180^\circ\) (actual values depend on precise protractor measurement, but the sum should be \(180^\…
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7. a railroad embankment has the shape of a trapezoid with a horizontal…
The width at the base of the embankment is approximately $10 + 2\sqrt{7}$ m (or about 15.29 m).
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youtube: do you know where the word hip hop originated from by versa-st…
b. High Energetic movements ### Question 2
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7. a railroad embankment has the shape of a trapezoid with a horizontal…
The width at the base of the embankment is \(18\) meters.
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11th grade pre-assessment jackson’s own path to an engineering career a…
D. It highlights Jackson's wide range of professional experience.
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for mary winston jackson, a love of science and a commitment to improvi…
C. Jackson faced and overcame significant obstacles throughout her career as a scientist. (And we need to re - evaluate the other option. Wait, the question asks for TWO statement…
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6. a tract of land has the shape of a trapezoid, as shown in figure. th…
The length of the fourth side is approximately \( 116.62 \) m, one unknown angle is approximately \( 59.04^{\circ} \) and the other is approximately \( 120.96^{\circ} \)
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warm-up points a and b are on the line. what are the coordinates of eac…
For Point A: \( x = 4 \), \( y=3 \) For Point B: \( x = 12 \), \( y = 9 \) Filling the table: | Point | \( x \) | \( y \) | |-------|-------|-------| | A | 4 | 3 | | B | 12 | 9 |
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the vertical angle from level ground to the top of a building is 40°. t…
The building is approximately \(21.0\) m tall (or \(20.98\) m depending on the level of precision).
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ms 3–5: here is a polyhedron and its matching net. 3. what is the name …
Rectangular Prism (or Cuboid) ### Problem 4:
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geometry lesson 1-1a form a fill in the empty boxes in the table. make …
### For the row with drawing of segment \( \boldsymbol{NV} \) (points \( N \) and \( V \)): # Explanation: ## Step1: Identify the geometric figure The drawing shows two endpoints …
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2. takeshi made some mistakes when calculating the surface area of the …
Takashi’s mistake was likely in calculating the triangular faces (e.g., incorrect formula or dimensions) or mislabeling rectangular faces. The correct surface area is \( \boldsymb…
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lesson practice 6.1.13 name: jayden bimm date: 4-10-25 period: 6 1. lab…
- Triangular face edges: 6, 4.5, 7.5 (each triangle has these three edges). - Lateral (rectangular) edges: 10 (the three edges connecting the two triangular bases).
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the radius of a sphere - shaped balloon increases at a rate of 2 centim…
5 seconds (assuming a possible typo in the surface area, making it 400π instead of 784π to match the option)
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3. solve the following right triangles for the parts not given: a. ( a …
(for part a): - Angle \( B = 47^\circ36'48'' \) (or \( 47.6134^\circ \)) - Opposite side (a) \( \approx 295.0 \) ft - Adjacent side (b) \( \approx 322.7 \) ft ### Part b:
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geometry lesson 1-1a form a fill in the empty boxes in the table. make …
s for Visible Rows: 1) Symbol Notation: \( \overline{NV} \) 2) Description in words: Segment \( NV \) (or Line Segment \( NV \)) 3) Symbol Notation: \( \overrightarrow{DH} \) 4) D…
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two lines are considered to be parallel if they have the same slope. se…
Line A: \((-1, -2)\) and \((1, 0)\), Line C: \((0, 2)\) and \((-1, 1)\)
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a marble dropped in still water will create circular ripples or waves. …
\( C(t) = 8\pi t \) (the third option)
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the brazilian free - tailed bat can travel 99 miles per hour. after sun…
1.6 hours (corresponding to the option: 1.6 hours)
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for numbers 3a – 3c, circle true or false for each statement based on t…
TRUE ### 3b
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given: ( \frac{ad}{dc} = \frac{be}{ec} ) prove: ( overline{ab} parallel…
s: - For step 8 (reason for $\triangle ABC \sim \triangle DEC$): SAS (Side - Angle - Side) Similarity Criterion (or "SAS similarity") - For step 9 (reason for $\angle 1\cong\angle…
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app on his phone, it creates a square icon on his home screen. the squa…
30.8 centimeters (assuming the initial side length is 3.5 cm, and the growth rate is 2.8 cm per second for 1.5 seconds, leading to a side length of 7.7 cm and a perimeter of 30.8 …
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given: $\frac{ad}{dc} = \frac{be}{ec}$ prove: $overline{ab} parallel ov…
definition of similar triangles For step 9:
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practice 1. lines l, m, and n are parallel. find the value of x.
\( 135^{\circ} \)
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2 in isosceles triangle dac, segment ad is congruent to ac. kiran knows…
Kiran needs to know that point \( B \) is the midpoint of segment \( CD \) (or \( DB = BC \), or \( AB \) is the median of \( \triangle DAC \) with respect to side \( CD \)).
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lesson 8 practice problems 1 each statement is always true. select all …
B. Statement: If 2 lines are perpendicular, then they intersect to form 4 right angles. Converse: If 2 lines intersect to form 4 right angles, then the 2 lines are perpendicular. …
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applying the side-splitter theorem complete the work to find the length…
$\frac{11}{2}$ (or 5.5)
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3 segment ge is an angle bisector of both angle hef and angle fgh. prov…
By the ASA congruence postulate (since \( \angle HEG=\angle FEG \), \( GE = GE \), and \( \angle HGE=\angle FGE \)), \( \triangle HGE\cong\triangle FGE \).
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reflect △abc across the x-axis by answering the questions below and plo…
2
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show what you know click on one figure that is not a scaled copy of fig…
Figure B (the white L - shaped figure to the right of Figure A) is not a scaled copy of Figure A.
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explore the properties of reflection by following these steps. kb = ⇒ 2…
CL = 2.2 units, LC' = 2.2 units
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explore the properties of reflection by following these steps. 5. the l…
\( AJ = 3.3 \) units, \( JA' = 3.3 \) units (or the correct length from the diagram's measurement, typically in such problems, the lengths are equal due to reflection, so if \( AJ…
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explore the properties of reflection by following these steps. m∠ajk = …
\( BK = \boldsymbol{2} \) units, \( KB' = \boldsymbol{2} \) units
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explore the properties of reflection by following these steps. m∠ajk = …
BK = 2 units KB' = 2 units