Geometrie
Dreiecke, Kreise, Koordinatengeometrie und Beweisaufgaben.
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to get from your house to class you walk east 579 feet. after class you…
C. right triangle
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what is the smallest integer value for ( ik ) for which parallelogram (…
C. 14
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determining side lengths of special right triangles what are the length…
AC = $5\sqrt{3}$ and BC = 5
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what is the volume of this cylinder? round your answer to the nearest h…
\( 15430.34 \) cubic meters
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which triangle is a 30°-60°-90° triangle? 10 5 5√3 15 5 5√3 10 5 10√3 1…
The triangle with side lengths 5, $5\sqrt{3}$, and 10 (the first option) is a 30°-60°-90° triangle.
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consider triangle ghj. what is the length of line segment hj? 5 units 5…
$5\sqrt{3}$ units
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the height of trapezoid vwxz is $8\\sqrt{3}$ units. the upper base, $\\…
18 units
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consider triangle def. the legs have a length of 36 units each. what is…
D. $36\sqrt{2}$ units
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the length of segment ef is 12 cm. which statements regarding triangle …
- $\overline{EF}$ is the longest side of $\triangle DEF$. - $DF = 6$ cm - $DE = 6\sqrt{3}$ cm
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find the measures of the angles marked x and y. remember that (1) the s…
\(x = 40\) and \(y = 130\)
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consider the incomplete paragraph proof. given: isosceles right triangl…
Divide both sides of the equation by two, then determine the principal square root of both sides of the equation.
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applying the 30°-60°-90° and 45°-45°-90° relationships isaiah sketches …
$4\sqrt{2}$ in.
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proving the 30°-60°-90° triangle side length relationship consider that…
1. $x$ 2. $4$ 3. $3$ 4. $x$
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solving real - world problems with 30° - 60° - 90° triangles a man is s…
- The distance from the man's feet to the base of the monument is $185\sqrt{3}$ feet. - The distance from the man's feet to the top of the monument is $370\sqrt{3}$ feet.
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solving real - world problems with 45° - 45° - 90° triangles the roof o…
5√2 ft
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determine whether the triangles are right triangles, acute triangles or…
right triangle ### Problem 14:
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using pythagorean inequalities, determine which set of the given three …
B. 5, 13, 19
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decide if the segments lengths form a triangle. if so, would the triang…
D. Yes, they would form an obtuse triangle.
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solving real - world problems with 45° - 45° - 90° triangles a baseball…
$90\sqrt{2}$ feet
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triangle abc is an equilateral triangle. segment ad measures 18 inches.…
DC = $6\sqrt{3}$ in, AC = $12\sqrt{3}$ in
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determining leg length in a 45°-45°-90° triangle the hypotenuse of a 45…
12√2 in.
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determining angle/side relationships what are the angle measures in tri…
$m\angle A=90^\circ, m\angle B=60^\circ, m\angle C=30^\circ$
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practice with special right triangles. each leg of a 45°-45°-90° triang…
14$\sqrt{2}$ cm
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suppose that each point in the coordinate plane is shifted 4 units to t…
\((10,13)\) ### Part (b)
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quadrilateral ghij is a translation of quadrilateral ghij. write the tr…
The translation rule is \( (x, y) \to (x - 9, y - 7) \)
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5) $5k - 2k > -9$ 7) $30 - 6a < -3(5 + 7a)$
1. For $5k - 2k > -9$: $k > -3$ (On the number line, draw an open circle at $-3$ and shade to the right.) 2. For $30 - 6a < -3(5 + 7a)$: $a < -3$ (On the number line, draw an open…
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ometry hw – 10.1 pythagorean theorem and its converse name: date: perio…
\( a = 12 \) ### Problem 3: Find \( b \)
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1. which rectangle has the greater area, a rectangle with length \\(\\f…
The rectangle with length $\frac{1}{12}$ foot and width $\frac{3}{4}$ foot has the greater area.
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tion. 2) $0 > -5x - 6x$ 4) $-9 > -5n - 4n$
1. For $0 > -5x - 6x$: $x > 0$ (On the number line, draw an open circle at 0 and shade to the right.) 2. For $-9 > -5n - 4n$: $n > 1$ (On the number line, draw an open circle at 1…
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use a quadratic function to model the area of the rectangle. graph the …
\( 3x^{2}+18x + 24 \)
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which details in this excerpt from mrs. dalloway seem to convey clariss…
(but that might be her heart, affected, they said, by influenza) …, Such fools we are, she thought, crossing Victoria Street.
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use a quadratic function to model the area of the rectangle. graph the …
\( 3x^{2}+18x + 24 \)
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part 1 of 2 the function f(x) = x² + 3x - 10 models the area of a recta…
\(x + 5\), \(x-2\) (or vice - versa, as long as both are positive for the domain of \(x\) considered) ### Part b:
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regents exam questions g.srt.a.2: dilations i www.jmap.org name: 4 if △…
4) 2) $B'C' = 3BC$ 5) 4) $\overline{BC} \parallel \overline{DE}$ 6) 3) The area of $\triangle DRS$ is 3 times the area of $\triangle KLM$. 7) 1) The area of the image is nine time…
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triangle theorem amari is standing 50 feet from the base of a building.…
$\boldsymbol{50\sqrt{3}}$ ft (Option: $50\sqrt{3}$ ft)
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which triangle is a right triangle?
The triangle with angles $60^\circ$, $30^\circ$, and $90^\circ$ (top-left triangle) is a right triangle.
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which net can be folded to form this rectangular pyramid?
B. <The second option with a rectangular base and four triangular faces (two narrow, two wider)>
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the length of segment ab is 9 mm. which statements regarding triangle a…
- $\overline{AB}$ is the shortest segment in $\triangle ABC$. - $\overline{AC} = 2\overline{AB}$
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6. a math exercise states that the circumference of a certain circle is…
None of the students (Larry, Rosie, Rashida) is correct because solving \( 3.14d = 23.55 \) gives \( d = \frac{23.55}{3.14} = 7.5 \), and none of the students' proposed diameters …
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write the equation of the line that is graphed. use slope-intercept for…
The slope of the line is \(\frac{1}{4}\), and the equation of the line is \(y=\frac{1}{4}x + 2\). So the slope box should be filled with \(\frac{1}{4}\) and the \(y=\square x + 2\…
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** this is a 2 - page document! ** if the sides of a triangle have the …
1. $\frac{16}{11} < x < 6$ 2. $6 < x < 20$ 3. $\frac{19}{2} < x < 15$ 4. $9 < x < 25$
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after bisecting an angle, nina has two new angles, each with a measure …
$198^\circ$
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cora measures \\(\\overline{lm}\\) and learns that it is 11 centimeters…
22 centimeters
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if a line segment measuring 32 centimeters is bisected to form two new …
16 centimeters
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no is 39 centimeters long. point n is the midpoint of mo. what is the l…
78 centimeters
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determining the side length ratio for 30°-60°-90° triangles which 30°-6…
The middle triangle (with $30^\circ$ opposite side length 1, $60^\circ$ opposite side length $\sqrt{3}$, hypotenuse length 2) is correctly labeled.
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find the surface area of the trapezoidal prism. $sa = \\square\\ \\text…
1488
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find the surface area of the trapezoidal prism. sa = \\square square in…
284
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given that △abc is equilateral, and ad bisects ∠a, show that the side l…
$30^\circ$
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verifying a 30°-60°-90° triangle relationship given that △abc is equila…
1. $60^\circ$ The side lengths of $\triangle ADB$ are confirmed to be in the ratio $1:\sqrt{3}:2$.
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point a = point b =
Point \( A' = \boldsymbol{(-4, 1)} \) (or \( (-4, 2) \) if y=2) Point \( B' = \boldsymbol{(-1, 1)} \) (or \( (-1, 2) \) if y=2) Wait, maybe the original coordinates are \( A(4, 2)…
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in wealthy athenian families, young boys went through an intense educat…
- Memorizing and reciting long poems such as Homer’s the Iliad and the Odyssey: to learn to read and use language - Practicing arithmetic and geometry problems on wax tablets: to …
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*remote learning day!* card one: ((x + 2)(x + 4)) card two: ((y + 5)(y …
Card One: $\boldsymbol{x^2+6x+8}$ Card Two: $\boldsymbol{y^2+6y+5}$ Card Three: $\boldsymbol{28x^2 -xy -2y^2}$ Card Four: $\boldsymbol{4r^2 - s^2}$ Card Five: $\boldsymbol{a^2 +6a…
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find the missing lengths and angle measures in kite abcd. 1. ac 2. cd 3…
The length of \(AC\) is \(\boldsymbol{40}\). ### Problem 2: Kite \(ABCD\) (Finding \(CD\))
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the measures of the angles of a triangle are shown in the figure below.…
\(22\)
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the measures of the angles of a triangle are shown in the figure below.…
\(x = 7\)
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use the diagram to the right to find ( mangle a ).( mangle a = square^{…
$24$
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name the isosceles triangles in the figure. select all the isosceles tr…
A. $\Delta UWY$, D. $\Delta UVZ$, E. $\Delta WXZ$
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) 8.ee.6 consider the graph shown. choose true or false for each statem…
### Part a # Explanation: ## Step 1: Find coordinates of points From the graph, let's assume the coordinates: \( A(3, 7) \), \( D(5, 4) \), \( A(3, 7) \), \( F(9, 0) \). The slope…
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13) 15) solve each triangle. round 17) 19) 21) 23)
Let's solve each triangle one by one (we'll take problem 13 as an example first, and you can follow the same method for others): ### Problem 13: We have a right triangle \( \trian…
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prove the following statement. if $\\triangle abc \\sim \\triangle def$…
1. First dropdown: congruent 2. Second dropdown: proportional 3. The proof confirms $\Delta ABC \sim \Delta GHK$ as required.
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identify the antecedent underline the pronoun and circle or highlight i…
1. Underline: **her**, **she**, **it**; Highlight antecedents: *Maria*, *project* 2. Underline: **its**; Highlight antecedent: *The dog* 3. Underline: **their**; Highlight anteced…
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use each graph to solve the system of linear equations. 2. 3. 4.
2. The solution is $x=2$, $y=-3$ or the point $(2, -3)$ 3. The solution is $x=4$, $y=1$ or the point $(4, 1)$ 4. No solution (the lines are parallel and never intersect)
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applications 3. a square of an unknown side length ( x ) inches has one…
### Part (a) # Explanation: ## Step1: Identify the new dimensions The original square has side length \( x \). One side is increased by 4, so the new length is \( x + 4 \), and th…
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13. find ( mangle vwz )
$27^\circ$
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14. find ( mangle dhg ).
$114^\circ$
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for exercises 1–4, find the sum of the interior angles and the measure …
Sum of interior angles: \(1800^{\circ}\), Each interior angle: \(150^{\circ}\) ### Exercise 2: 102 - gon
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the equation of a circle is given below. identify the radius and the ce…
Radius: \(\frac{11}{2}\) Center: \((-2, 1)\)
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example: name two linear pairs using the diagram below.
1. $\angle 1$ and $\angle 2$ 2. $\angle 2$ and $\angle 3$ *(Other valid pairs include $\angle 3$ and $\angle 4$, $\angle 4$ and $\angle 1$)*
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find \\(\\vec{a} \\times \\vec{b}\\) and the angle \\(\\theta\\) betwee…
$\vec{A} \times \vec{B} = -132\hat{i} - 275\hat{j} - 325\hat{k}$ $\theta \approx 72^\circ$ (rounded to nearest whole number, or $71.6^\circ$ for more precision)
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write an equation of the circle with center (-3, -2) and radius 9.
The equation of the circle is \((x + 3)^2+(y + 2)^2 = 81\)
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molly was curious if quadrilaterals (abcd) and (efgh) were congruent, s…
B. One more transformation – a reflection – would map ABCD onto EFGH. So the quadrilaterals are congruent.
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find wx in rectangle vwxy. w v 7a+32 a+68 x y 4a-5 wx =
$\frac{607}{3}$
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rotation of 180 clockwise translation 4 units down reflection over x - …
translation 4 units down
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1 use the diagram to match each description to the appropriate equation…
1. - The length of the altitude is the geometric mean of the hypotenuse segments: $\boldsymbol{\frac{AD}{CD} = \frac{CD}{DB}}$ - The length of the short leg is the geometric mean …
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1 solve 32²=16 2 circle the geometric mean of 6 and 12 3 circle the geo…
1. $18$ 2. $\boldsymbol{6\sqrt{2}}$ 3. $\boldsymbol{20}$ 4. $25\sqrt{6}$ 5. $14$ 6. $9\sqrt{3}$
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which of the following is true for the following transformation. (x,y) …
To determine the truth of each statement for the transformation \((x,y) \to (x, y + 10)\), we analyze the type of transformation: ### Step 1: Identify the Transformation Type The …
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name alyonna bush envision geometry 7-4 mathematical literacy and vocab…
1. $18$ 2. $6\sqrt{2}$ 3. $20$ 4. $25\sqrt{6}$
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determine the transformation:
The transformation is a reflection over the \( y \)-axis (or a horizontal reflection, \( (x, y) \to (-x, y) \)).
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snowys snow cones has a special bubble gum snow cone on sale. the cone …
$\boldsymbol{\frac{1}{3}(3.14)(4)^2(6)-\frac{4}{3}(3.14)(0.4)^3}$ (matches the first option) --- ### Second Problem (Inscribed Quadrilateral)
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if a triangular cross - section with coordinates at (1, 1), (1, 4), and…
Cone --- ### Question 13
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what is the cross - section of a right cylinder that is perpendicular t…
1. Rectangle 2. $60\pi \text{ cm}^2$ 3. 15.6 square units
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leo is constructing a tangent line from point q to circle p. what is hi…
Construct a circle from point R with the radius RP --- ### Second Question:
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1. trapezoid whnt is shown where r is the midpoint of \\( \\overline{hn…
A. $x = 6$ B. 22.25 --- ### Problem 2
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a giant pie is created in an attempt to break a world record for baking…
22.08 ft²
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each venn diagram has sets a, b, and the universal set u. (a) shade (a∪…
(a) Shaded area: The portion of the universal set $U$ that is outside both circle $A$ and circle $B$. (b) Shaded area: The portion of the universal set $U$ that is outside both ci…
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the volume of a pyramid that fits exactly inside a cube is 18 cubic fee…
1. 54 cubic feet 2. 15 3. $912\pi \text{ cm}^2$
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question 1 (multiple choice worth 1 points) (07.03r mc) using the follo…
C. The center is located at (-1, -2), and the radius is 5
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find the angle measure of $\\angle dce$ in the rhombus below if $m\\ang…
$52^\circ$
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in the square below, $m\\angle fep = (10x + 10) ^\\circ$. find $x$.
$x = 8$
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using the following equation, find the center and radius: ( x^2 + 2x + …
The center is located at (-1, -2), and the radius is 5 --- ### Second Question (Circle Tangents & Arcs)
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which shape has \\(\frac{1}{2}\\) shaded?
The bottom-left square (the one with two blue triangles forming half the square)
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in parallelogram abcd below, bd = 38 and be = 8x + 59. solve for x.
$x = -5$
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solve for a in the parallelogram below. 6a + 45 2a + 21
$a = -6$
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omar says that the shaded part of this figure represents \\(\frac{1}{2}…
B. No, because the two parts do not have equal areas.
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(a) shade ((a cap b)). (b) shade (a cup b).
(a) Shade the entire circle $B$ and the area of $U$ outside circle $A$. (b) Shade the entire circle $A$ and the area of $U$ outside circle $B$. Visual summary (text description): …
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solve for ( x ) in the parallelogram below. the parallelogram has angle…
$x = 3$
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marley used a grid to make the design shown. how can she change the des…
Remove the shading from 2 small squares.
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solve for c in the parallelogram below. draw 78° (-2c + 80)°
$c = 1$
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marley used a grid to make the design shown. how can she change the des…
Remove the shading from 2 small squares.