几何
三角形、圆、解析几何与证明题。
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look at this shape: image of a blue triangle on a grid which image show…
A. Option A
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look at this shape: image of a blue polygon on a grid which image shows…
C. The image in option C shows a reflection of the original shape.
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look at this shape: image of a purple l - shaped figure on a grid which…
B. Option B
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look at this shape: image of an l - shaped figure on a grid which image…
C. Image C
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which image shows a reflection? a b c
C
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look at this shape: image of a blue triangle on a grid which image show…
B. The triangle that is a horizontal mirror image of the original shape
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look at this shape: image of a blue triangle on a grid which image show…
B. The triangle that is a horizontal mirror image of the original shape
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look at this shape: image of a purple l - shaped figure on a grid which…
A. <The shape in option A>
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e the following system of equations graphically on the set of axes b ( …
To graph the lines: - For \( y=x + 3 \): Plot \( (0,3) \) and use the slope \( 1 \) to find other points. - For \( 3x + y=-5 \) (or \( y=-3x - 5 \)): Plot \( (0,-5) \) and use the…
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3. solve for the length of side ad and angle c in the given figure. giv…
Length of $AD = 3.0$ cm, $\angle C \approx 36.9^\circ$
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6. calculate the length of gh in the given diagram. gc = 3.9 cm, (angle…
$\boldsymbol{\approx 5.7}$ cm
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find the slope of the line between the points (1, -9) and (8, -9). the …
$m=0$ horizontal
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the taieri plain in new zealand is 6 feet below sea level (or $-6$ feet…
No, your elevation is not the opposite of the plain's elevation. To verify with a vertical number line: 1. Label 0 as sea level, positive values upward (above sea level) and negat…
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7 practice 7 (from unit 4, lesson 3) here is triangle pqr. find the len…
\( PQ=\boldsymbol{2} \) units, \( QR=\boldsymbol{2\sqrt{3}} \) (or approximately \( 3.46 \)) units. Wait, but the problem says "type your answers in the boxes". Maybe we can write…
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find and plot the ( x )- and ( y )-intercepts of the following equation…
The x-intercept is $(6, 0)$ The y-intercept is $(0, -3)$ *(For the graph: Mark the point $(6,0)$ on the positive x-axis, mark $(0,-3)$ on the negative y-axis, then connect these t…
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5 practice 5 (from unit 4, lesson 4) approximate the angles that have t…
s: a. $\boldsymbol{15^\circ}$ b. $\boldsymbol{28^\circ}$ c. $\boldsymbol{72^\circ}$ d. $\boldsymbol{46^\circ}$
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choose the correct solution for m = 4.
The right - most purple - circled point on the horizontal (x - axis) line (the one to the right of the origin) is the solution for \( m = 4 \).
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4.b.6 practice problems 1 practice 1 2 practice 2 consider this triangl…
To find \( JH \): \( \boldsymbol{JH = 9\sin(35^{\circ})} \) To find \( GJ \): \( \boldsymbol{GJ=9\cos(35^{\circ})} \)
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1 practice 1 the angle measures and side lengths of a triangle are show…
A. $\sin(\theta)=\frac{4}{\sqrt{97}}$ B. $\tan(\beta)=\frac{9}{4}$ E. $4^{2}+9^{2}=97$
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select the solution m = 0 on the graph.
The solution \( m = 0 \) is the purple - circled point at the intersection of the two axes (the middle point on the horizontal axis).
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5. if \\(\\sin \\theta = 0.75\\), find one set of possible values for \…
One set of possible values is \( a = 3 \), \( b = \sqrt{7} \), \( c = 4 \) (or other scaled versions, e.g., \( a = 6 \), \( b = 2\sqrt{7} \), \( c = 8 \), etc.).
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3. which angle is an exterior angle? (options: k°, a°, d°, e°)
d. $d^\circ$
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2. what is the sum of i° + k°? options: 260°, 140°, 220°, 320°
260°
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2. what is the sum of i° + k°? options: 260°, 140°, 220°, 320°
$460^\circ$ *(Note: If the question intends to reference the reflex angles marked as $i^\circ$ and $k^\circ$: $i^\circ$ is the reflex angle, so $i^\circ = 360^\circ - 40^\circ = 3…
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2. what is the sum of l° + k°? options: 260°, 140°, 220°, 320° (and a d…
260° (Option: 260°)
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1. what is the sum of $d^\\circ + e^\\circ$? (options: 120°, 160°, 360°…
120°
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11. the green triangle is set inside a rectangle. is the green triangle…
Yes, the green triangle is a right triangle. Because when we check the Pythagorean theorem (\(a^{2}+b^{2}=c^{2}\)) for the sides \(\sqrt{224}\), \(\sqrt{137}\) and \(19\), we find…
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4. for an acute angle θ, the equation sin(θ) = cos(25°) is true. (hint:…
a. $\boldsymbol{65^\circ}$ b. A right triangle with one right angle ($90^\circ$), one acute angle of $65^\circ$ (labeled $\theta$), and the other acute angle of $25^\circ$. The si…
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10. is △pqr a right triangle? explain.
Yes, \(\triangle PQR\) is a right triangle because the sum of the squares of the two shorter sides (\(3.75^{2}+5^{2}\)) is equal to the square of the longest side (\(6.25^{2}\)) (…
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3. noah missed class, and clare is helping him use the table to approxi…
- The first row corresponds to an angle of approximately $\boldsymbol{10^\circ}$. - The second row corresponds to an angle of approximately $\boldsymbol{80^\circ}$. - The repeated…
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3. noah missed class, and clare is helping him use the table to approxi…
The two angles are complementary (sum to $90^\circ$). In a right triangle, the adjacent side of one acute angle is the opposite side of the other acute angle, so their sine and co…
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Question was provided via image upload.
s: a) \( \approx137.1^{\circ} \) b) \( \approx33 \) c) \( \approx20.3 \) d) \( \approx28.1^{\circ} \) e) \( \approx28.2 \) f) \( \approx6.0 \)
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the figures are similar, and the ratio of the perimeters is 2 : 5. find…
$3.2$ (or $\frac{16}{5}$)
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2. a) $sin \\theta = \\frac{opp}{hyp} = \\frac{q}{r}$ b) $cos \\theta =…
To solve the trigonometric ratio problems for each right - triangle, we use the definitions of sine, cosine, and tangent: - Sine of an angle ($\sin\theta$) is defined as the ratio…
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7. 3 ft, 4 ft, 6 ft triangle. $a^2 + b^2 = c^2$. $\\square^2 + \\square…
First row: \(3^2 + 4^2 \stackrel{?}{=} 6^2\) Second row: \(9 + 16 \stackrel{?}{=} 36\) Third row: \(25 eq 36\) Is the triangle a right triangle? No (because \(3^2 + 4^2 eq 6^2…
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4. is the triangle a right triangle? explain. (image of a triangle with…
Yes, the triangle is a right triangle. Because for the side lengths 6 cm, 8 cm, and 10 cm, \(6^2 + 8^2 = 36 + 64 = 100\) and \(10^2 = 100\), so it satisfies the Pythagorean theore…
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Question was provided via image upload.
1. quantities 2. comparison 3. positive; negative 4. horizontal 5. vertical 6. independent
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3 part a consider the similar triangles below: find the scale factor? p…
2 ### Part B
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part: a consider the similar triangles below: (there are two triangles …
14
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solve for x. round to the nearest tenth, if necessary. triangle image w…
$6.7$
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finding circumferences find the circumferences of both circles. 21. cir…
s: ## Problem 21: Inner circle circumference: \( \boldsymbol{10\pi \, \text{cm} \approx 31.4 \, \text{cm}} \) Outer circle circumference: \( \boldsymbol{20\pi \, \text{cm} \approx…
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17. evaluate: (+7)(−8) + (−9)(+10) 19. find the perimeter and area of t…
\(-146\) ### Question 19
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18) given: lm ≅ lk and ln bisects angle knm
Since the problem involves triangle congruence and angle bisectors, we can prove that \(\triangle LKN \cong \triangle LMN\) (or other related congruences) using the given informat…
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solve for x. round to the nearest tenth, if necessary. triangle with ri…
$175.8$
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which model shows the fraction 3/4?
The third circular model (with 4 equal parts, 3 shaded)
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5-91. use the given information to write the equation of each line. a. …
a. $y = 2x - 3$ b. $y = -3x - 1$
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an equilateral triangle has side lengths of 6 units. what is the triang…
c) \( 9\sqrt{3} \) square units
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math 10 find the length of the side denoted by a variable. round answer…
\( 28.4 \) ### Problem 14: Find \( b \)
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an airplane is flying at an altitude of 8,000 feet when the pilot sees …
21978
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in right triangle abc, angle c is a right angle, ab = 13, and bc = 12. …
\(5\)
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3. ∠g=\\underline{28°} ∠h=\\underline{} ∠i=\\underline{} (there is a tr…
\( \angle G = 28^\circ \), \( \angle H = 124^\circ \), \( \angle I = 28^\circ \)
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in triangle abc, angle a is 35° and angle b is 20°. determine whether e…
- A. Triangle DEF: SIMILAR (angles 35°, 20°, 125° match ABC) - B. Triangle GHI: NOT SIMILAR (angles 35°, 30°, 115° don't match) - C. Triangle JKL: NOT SIMILAR (angles 20°, 30°, 13…
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triangle def is formed by connecting the midpoints of the sides of tria…
d) 8 units
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equidistant from the two endpoints of a segment, then it lies on the pe…
To determine the validity of the converse statements, we analyze each: ### For the first (perpendicular bisector) converse: - **Statement**: If a point is equidistant from the end…
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converse is always true converse is sometimes true a. statement: if two…
For both A and B, the "CONVERSE IS ALWAYS TRUE" option is correct. So: A. CONVERSE IS ALWAYS TRUE B. CONVERSE IS ALWAYS TRUE
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1 drag the tiles to the correct boxes to complete the pairs. match each…
- Write down your ideas as bullet points. → list - The main topic is in the middle circle and related ideas surround the main topic. → clustering - Write quickly without stopping …
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consider triangles ejh and eih. $overline{hj} perp overline{je}$, $over…
c) Hypotenuse-Leg
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8. myra painted a picture of her dog, grover, using a scale factor of 1…
8. Let the measured length of the drawn dog be $L_{drawn}$. The real length is $\boldsymbol{\frac{L_{drawn}}{0.15}}$ (units match the drawn length's units). 9. $\boldsymbol{x=18}$…
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write the coordinates of the vertices after a translation 3 units down.…
\( A'(6, -10) \), \( B'(8, -5) \), \( C'(6, 0) \), \( D'(5, -5) \) (Wait, correction: Wait, original \( D \): maybe I made a mistake. Let's check again. The original \( D \): look…
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3 darma is edging a tablecloth with lace. the tablecloth is 210 cm by 1…
780 cm
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determine whether (overline{nr} parallel overline{pq}). justify your an…
3. $\overline{NR}$ is not parallel to $\overline{PQ}$, because $\frac{PN}{PM} eq \frac{RM}{QM}$. 4. $\overline{NR}$ is not parallel to $\overline{PQ}$, because $\frac{PN}{PM} …
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instructions solve the following problem and select your answer from th…
6
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fluency the distance formula geometry homework 5.8 1. for each set of p…
(a) The distance between the two points (after correcting the point interpretation) is \(\boldsymbol{13}\). (b) The distance between the two points (after correcting the point int…
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8-2 practice exercises (lms graded) 8-2 reflections what is the image o…
C. \( (6, -1) \)
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find the coordinates of the image. $r_{x=2}(u)=\\square$ (type an order…
\((0, - 5)\)
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antonyms: choose the vocabulary word that has the opposite meaning as t…
lenient (assuming this is a common antonym for "stern" in such vocabulary questions; the exact answer depends on the provided vocabulary list, but a typical antonym is lenient) ##…
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directions: state if the three side lengths form a right triangle. 8) 6…
Not a right triangle (obtuse). ### Problem 9: 9, 12, 15
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vocabulary in context: circle the correct answer 1. “are you going to c…
D. good - humored #### Question 2
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find a translation that has the same effect as the composition of trans…
A. (x,y)→(x−3,y+14)
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8) you estimate the cost of seeding a 150 m by 210 m area with seed. yo…
Approximately \( 10.17 \) pounds of seed will be needed.
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△mug has coordinates m(10, -4), u(9,8), and g(8,0). a translation maps …
U'(3, 10), G'(2, 2)
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1. write the equation of each line. blue red green purple
# Explanation: ## Step1: 分析蓝色直线 蓝色直线是水平直线，平行于x轴，y坐标恒为1（从图中网格看，蓝色直线在y=1的位置？不对，重新看，图中蓝色直线在y=1？不，仔细看，网格中，蓝色直线的y值，从图中，黑色是x轴（y=0），蓝色直线在x轴上方1格？不对，重新看，图中，黑色x轴，y=0，蓝色直线是水平的，经过y=1？不，可能我看错了…
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in the diagram the smaller triangle is an image of the larger triangle.…
a) ∠F' b) CD and C'D', CF and C'F', FD and F'D'
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name: date: period: directions: decide which system of government is be…
1. Argentina: Federal 2. European Union: Confederal 3. Japan: Unitary (Note: For the drawing component, examples could include: - For Federal: Two overlapping circles labeled "Cen…
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7.1 practice problems directions: find the missing side of each triangl…
\( 13 \) m ### Problem 2:
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the most precise name for each quadrilateral. 16) 17) 18) find the valu…
15) Parallelogram 16) Square 17) Rectangle 18) Rhombus --- ### Part 2: Find Variables and Side Lengths
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7.1 practice problems directions: find the missing side of each triangl…
\( x = 13 \, \text{m} \) ### Problem 2:
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tell whether the transformation appears to be a rigid transformation. e…
D. No, because the preimage and the image do not appear to be congruent.
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tell whether the transformation appears to be a rigid transformation? d…
B. No, because the angle measures and/or the distances between the vertices are not the same as the corresponding angle measures and/or distances of the preimage
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find the measures of the numbered angles in each rhombus. 6) m∠1= , m∠2…
7) $m\angle1=56^\circ$, $m\angle2=68^\circ$, $m\angle3=56^\circ$, $m\angle4=90^\circ$ 8) $m\angle1=160^\circ$, $m\angle2=80^\circ$, $m\angle3=10^\circ$, $m\angle4=80^\circ$ 9) $m\…
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using algebra find the value of each variable. 27. (there is a right tr…
$m = \frac{74}{7}$
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a mandala is a geometric figure that has spiritual relevance in many re…
| | Circumference (ft) | Area (sq. ft) | |---|---|---| | A | $6\pi$ | $9\pi$ | | B | $10\pi$ | $25\pi$ | | C | $3\pi$ | $2.25\pi$ |
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associe chaque courbe à ses paramètres. courbe 1 ○ a=3; h=5; k=4 courbe…
- Courbe 1 : \(a = 3\); \(h = 5\); \(k = 4\) - Courbe 2 : \(a=-3\); \(h=-2\); \(k=-4\) - Courbe 3 : \(a = 4\); \(h=-5\); \(k = 3\) - Courbe 4 : \(a=-4\); \(h = 2\); \(k=-3\)
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question the midpoint of \\(\\overline{ab}\\) is \\(m(-4, 0)\\). if the…
The coordinates of \( B \) are \( (-6,8) \)
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associe chaque courbe à ses paramètres. courbe 1 ○ a=3; h=5; k=4 courbe…
To solve this problem, we analyze the graph of the absolute - value function \(y = a|x - h|+k\), where \((h,k)\) is the vertex of the V - shaped graph, and \(a\) determines the di…
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what is the slope of this line? simplify your answer and write it as a …
$\frac{5}{7}$
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using algebra find the value of each variable. 26. triangle with sides …
$x = 9.6$ (or $\frac{48}{5}$)
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find the circumference of the circle to the nearest hundredth. use 3.14…
69.08
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answer the questions about the figures below. figure a (an image of a r…
(a) None of the figures (b) Figure A (c) Figure A, Figure B, Figure C
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spaced review practice concepts from previous topics. 1 determine the l…
The area of the triangle is 13 square feet.
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1. which graph represents a function? 1) graph 1 2) graph 2 3) graph 3 …
2) The graph with three lines meeting at the origin, extending to the left, lower-left, and upper-left
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identify the relationship between ∠c and ∠x. show your work here same s…
Alternate interior angles
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for #11 - 12, draw the indicated lines and segments. 11. a ---- b / \\ …
a. Segment connecting $C$ to midpoint of $\overline{AB}$ (median drawn as described) b. Line perpendicular to $\overline{AC}$ through its midpoint (perpendicular bisector drawn as…
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using algebra find the value of each variable. 25. triangle with segmen…
$3\sqrt{3}$
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1. which graph represents a function? 1) 2) 3) 4)
c. <The graph with single vertical intersections>
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identify the relationship between $\\angle n$ and $\\angle y$. show you…
Corresponding angles
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write the coordinates of the vertices after a reflection over the x - a…
$B'(-2, 2)$ $C'(4, 2)$ $D'(-6, 7)$
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identify the relationship between $\\angle a$ and $\\angle n$. (there i…
Corresponding angles
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questions 1) you are laying turf in a yard measuring 38 ft by 20 ft. wh…
The area of the yard is 760 square feet.
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exercise a in each of the following sentences, circle the word or words…
1. Circle: **good** *ADJ* $\overline{\text{at soccer}}$ 2. Circle: **articles** *ADJ* $\overline{\text{about early space exploration}}$ 3. Circle: **spent** *ADV* $\overline{\text…