Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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question 19 of 40 what is the midpoint of a line segment with the endpo…
D. (1.5, -4)
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1) quadrilateral efgh is a rhombus. what is $m\\angle def$? $m\\angle d…
$58$
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worksheets angles of polygons & similar triangles total questions: 21 w…
1. d) $1260^\circ$ 2. a) $720^\circ$ 3. d) $180^\circ$ 4. b) $108^\circ$ 5. d) $120^\circ$ 6. c) $60^\circ$ 7. b) $540^\circ$
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quadrilateral tuvw is a rhombus and $m\\angle tvw = w - 3^\\circ$. what…
$w = 62$
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quadrilateral ghij is a rhombus. what is ij? $ij = 3s$ $hi = s+18$ $ij …
27
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quadrilateral uvwx is a rectangle, $uy = 4p$, and $vy = p + 66$. what i…
$22$
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quadrilateral efgh is a rhombus. what is $m\\angle ehi$? $m\\angle ehi …
$26$
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question 17 of 40 which sequence of transformations produces an image t…
A. A translation of 4 units to the left followed by a dilation of a factor of 3
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1) quadrilateral uvwx is a square. what is vx? vx = submit
82
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what is the volume of this triangular pyramid? 17 mm 18 mm 11 mm cubic …
561 cubic millimeters
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question 15 of 40 what is the perimeter of a triangle with vertices loc…
D. 8.71 units
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triangle. round your answer to the nearest tenth. $x = $
9.6
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a student was given the following diagram and asked to prove that $angl…
A. Alternating exterior angles are congruent.
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question 14 of 40 a student was given the following diagram and asked t…
A. Alternating exterior angles are congruent.
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joaquin is constructing the perpendicular bisector of $overline{ab}$. h…
A. Place the point of the compass on point A and draw an arc across $\overline{AB}$.
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question 12 of 40 line m passes through the points (5, 1) and (8, 6) wh…
A. Lines m and n have the same slope so they are parallel.
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6. if the scale factor is one, the new figure will bea) smallerb) large…
6. d) same size 7. b) You are multiplying each side by 2 8. c) You are multiplying each side by 3 9. a) $8:12 = 2:3$
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question 11 of 40 if an isosceles triangle $\\triangle abc$ is dilated …
B. The sides of $\triangle ABC$ are congruent to the sides of $\triangle A'B'C'$
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question 10 of 40 what are the coordinates of the point that is $\frac{…
D. (-3,-2)
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worksheets name identify the scale factor class total questions: 10 dat…
1. d) 1/2 2. a) 4 3. a) the number you multiply the original shape by in order to get the scale copy 4. b) a reduction 5. b) enlargement
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question 9 of 40 use the given information to determine which of the fo…
D. We cannot prove any relationship based on these data
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question 6 of 40 is $\triangle abc$ similar to $\triangle def$? why or …
B. Yes, because the angles are congruent and the sides are proportional.
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in the figure below, $\triangle xyz \\sim \\triangle abc$. find $\\cos …
$\cos B \approx 0.91$, $\sin B \approx 0.42$, $\tan B \approx 0.47$
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an altitude of a triangle is a line segment with one endpoint at a vert…
The altitude from vertex A to side BC is constructed as a perpendicular segment $\overline{AG}$, where G lies on line BC, with endpoints marked at A and G.
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miguel wants to use coordinate geometry to prove that the opposite side…
C. $\sqrt{(a-0)^2+(0-0)^2}=\sqrt{a^2}=a$
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question 2 of 40 determine the scale factor for $\\triangle abc$ to $\\…
A. 2
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question 1 of 40 what is the area of a rectangle with vertices at (2, 3…
C. 35 units$^2$
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point $m$ is the midpoint of point $a$ and point $b$. find the coordina…
$(22, -10)$
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14. what is the sum of a, b, c, d, and e?
$180^\circ$
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13. $overline{ab} parallel overline{cd}$ $p = \frac{?}{}$ $q = \frac{?}…
$p = 71^\circ$, $q = 35.5^\circ$
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lesson 8.2p ~ vertical and adjacent angname_________________________ pe…
1. a. $m\angle2 = 106^\circ$ b. $m\angle3 = 74^\circ$ c. $m\angle4 = 74^\circ$ 2. (Diagram: Two intersecting lines with opposite acute angles labeled $\angle1$ and $\angle3$) 3. (…
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(a) find the following side lengths for the net. $a = \\square$ mm $b =…
$A = 11$ mm $B = 3$ mm $C = 8$ mm $D = 11$ mm
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question 38 of 40two boards are placed end to end to make a walkway. on…
12 ft 6 in
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in the figure below, $\triangle abc sim \triangle yxz$. find $\tan x$, …
# Explicación: ## Paso1: Coincidir ángulos congruentes Como $\triangle ABC \sim \triangle YXZ$, el ángulo $X$ es congruente con el ángulo $B$. Por lo tanto, las razones trigonomét…
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lesson 8.2p ~ vertical and adjacent angles name _______________________…
1. a. $m\angle2 = 106^\circ$ b. $m\angle3 = 74^\circ$ c. $m\angle4 = 74^\circ$ 2. (Diagram: Two intersecting lines forming four angles; label non-adjacent acute angles as $\angle1…
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10th grade mid-year assessment kaguya did not return the next night, no…
D. He is disheartened.
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skylar leans a 24-foot ladder against a wall so that it forms an angle …
12 feet
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a cylinder has a height of 17 inches and a diameter of 28 inches. what …
10468.79 cubic inches
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find the y-coordinates of the points that are 10 units away from the po…
0, 12
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coordinate plane vocabulary terms c s n c o o r d i n a t e d s x g s z…
Located terms in the grid: - COORDINATE (Top row: C S N C O O R D I N A T E D S) - AREA (Column 2, upward: A E C E M F A T T V A H U W J) - AXIS (Column 3, upward: R U D O M E N P…
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find the exact value of the sine of the angle at the point (4, -3). $\f…
D. $-\frac{3}{5}$
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4. imagine an upright cone with its base resting on your horizontal des…
Figure 1 ↔ B. vertical, through cone's topmost point Figure 2 ↔ A. horizontal Figure 3 ↔ C. diagonal --- ### Problem 5
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question the figure shows how the formula for the circumference of a ci…
B. $A = \pi r \cdot r$
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solve for $x$. round to the nearest tenth, if necessary. answer attempt…
$6.5$
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solve for $x$. round to the nearest tenth, if necessary. in right trian…
$65.5$
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4. a sprinkler sprays water 1.5 m as it rotates. what is the area of th…
(Problem 4): $\approx 7.07$ square meters ---
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the diameter of a circle is 10 ft. find its area in terms of $pi$.
$25\pi$ square feet
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the radius of a circle is 6 cm. find its area in terms of $pi$. answer …
$36\pi$ cm²
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the circumference of a circle is $10\\pi$ m. find its diameter, in mete…
10 meters
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the circumference of a circle is $2\\pi$ m. find its radius, in meters.
1
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the radius of a circle is 14.2 in. find the circumference to the neares…
89.2 inches
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the diameter of a circle is 71 m. find the circumference to the nearest…
223 m
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14 find the area of the shaded region in the figure. 12 in 18 in 8 in $…
$168$ $\text{in}^2$
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the radius of a circle is 7 cm. find its circumference in terms of $pi$.
$14\pi$ cm
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express tan $k$ as a fraction in simplest terms. answer $\\tan k = $
$\frac{\sqrt{47}}{17}$
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the radius of a circle is 20 cm. find its circumference in terms of $pi…
$40\pi$ cm
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area and perimeter of shapes on the coordinate plane directions: on the…
### Quadrant I Shape: Rectangle Area: $9$ Perimeter: $12$ ### Quadrant II Shape: Rectangle Area: $8$ Perimeter: $12$ ### Quadrant III Shape: Rectangle Area: $8$ Perimeter: $12$ ##…
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logical reasoning are you given enough information to determine whether…
Yes, there is enough information. The quadrilateral has both pairs of opposite sides congruent, which proves it is a parallelogram.
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10 find the value of $x$ and $y$ in the isosceles trapezoid below.$(16n…
$n = 9$ $m = 2$
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5 for what values of $x$ and $y$ must $abcd$ be a parallelogram? $ab=2y…
$x=3$, $y=11$
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area of square: 400 inarea of rectangle: 375 inthe squares area is 25 s…
The area of the square is $x^2$, and the area of the rectangle (with length $x+2$ and width $x-2$, correcting the given width error) is $x^2 - 4$. The difference is $x^2 - (x^2 - …
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1 find the values of a and b in $square efgh$. what are $eg$ and $fh$? …
$a = 4$ $b = 2$ $EG = 16$ $FH = 22$
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which shows a reflection over the $x$-axis?
The first option (the graph with the figure above the x-axis and its reflection below the x-axis on the left side of the coordinate plane)
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$uvwxy \\sim cbaed$. find $xy$. $xy = \\square$ submit
28
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1. each image shows a quadrilateral in a plane. the quadrilateral has b…
1. A Dilation A: $\boldsymbol{\frac{3}{4}}$ 2. B Dilation B: $\boldsymbol{\frac{1}{4}}$ 3. C Dilation C: $\boldsymbol{\frac{1}{2}}$ --- ### Problem 2
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which shows only a vertical translation?
The second option (the grid with the triangle shifted straight up from the original triangle)
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choose values for horizontal and vertical translation to place triangle…
Horizontal Translation: $5$ Vertical Translation: $0$ A. The triangle slid horizontally and vertically.
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area of square: 400 inarea of rectangle: 375 inthe squares area is 25 s…
The difference between the square's area and the rectangle's area is always 4 square inches, as shown by $x^2 - (x^2 - 4) = 4$.
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in the diagram below, $ad \\cong ae$, $ba \\parallel ce$, $cb \\paralle…
$m\angle E = 62^\circ$, Reason: Alternate interior angles (and base angle of an isosceles triangle; the key parallel line relationship leading to the congruent angle is alternate …
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(b) if the original square had a side length of 20 inches, find its are…
Area of the square: 400 square inches Area of the rectangle: 375 square inches The square's area is 25 square inches larger than the rectangle's area. --- ### Part (c)
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in the diagram below, $ad \\cong ae$, $ba \\parallel ce$, $cb \\paralle…
$m\angle E = 62^\circ$
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15 plot point a and point b on the coordinate grid. point a is located …
- Point A is plotted at the dashed square on the y-axis at $(0, -3)$. - Point B is plotted at the blue dot at $(-4, -1.5)$ (halfway between the horizontal lines for $y=-1$ and $y=…
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question solve for x and then determine the measure of the exterior ang…
B. $x = 25; 120^\circ$
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15 the supplement of an angle is twice the measurement of the angle. fi…
$60^\circ$
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triangle fgh is similar to triangle ijk. find the measure of side ij. f…
14.6
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simplify your answer and write it as a proper fraction, improper fracti…
0
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simplify your answer and write it as a proper fraction, improper fracti…
$0$
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15 plot point a and point b on the coordinate grid. point a is located …
Point A: on the y-axis, 3 units below the origin at $(0, -3)$ Point B: 4 units left on the x-axis, 1.5 units down on the y-axis at $(-4, -1.5)$ $(-5, 0)$
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triangle lmn is similar to triangle opq. find the measure of side pq. f…
18.6
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special right triangles ! directions: find each missing side. write all…
# Explanation: ## Step1: Solve starting 45-45-90 triangle In a 45-45-90 triangle, legs are equal, hypotenuse = leg $\times\sqrt{2}$. Given leg = 9, hypotenuse $x = 9\sqrt{2}$. Fol…
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fill in the sentence below with the description that most specifically …
The quadrilateral is most specifically a **rectangle**, because it is equiangular, both pairs of sides are parallel, and opposite sides are congruent.
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15 plot point a and point b on the coordinate grid. point a is located …
Point A: on the y-axis at (0, -3); Point B: at (-4, -1.5) (midway between y=-1 and y=-2, x=-4) (-5, 0)
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12 name a point that is a vertical distance of 6 units from point m tha…
not here
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fill in the sentence below with the description that most specifically …
The quadrilateral is most specifically a **rhombus**, because it is equilateral
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7) reflection across the y-axis $z(0, 0), y(0, 4), x(3, 4), w(4, -1)$ 8…
7) $Z'(0,0),\ Y'(0,4),\ X'(-3,4),\ W'(-4,-1)$ 8) $J'(3,4),\ K'(2,5),\ L'(2,4)$ 9) $K'(-2,-5),\ L'(-1,0),\ M'(-3,-1)$ 10) $D'(-1,-4),\ C'(0,-3),\ B'(-3,-2),\ A'(-5,-3)$ 11) $F'(-1,…
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7 point $h$ is located at $(0,-\\frac{3}{2})$. which point is located 4…
Point J --- ### Problem 8
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18 point h is located at (3.5, -2). which two points are located at a d…
Point K, Point M
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find the volume of the cube shown below. provide an answer accurate to …
97.3 cubic inches
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fill in the sentence below with the description that most specifically …
The quadrilateral is most specifically a **scalene quadrilateral**, because no sides are congruent or parallel
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question 20 which expression gives the volume of a sphere with radius 1…
Question 20: A. $\frac{4}{3} \pi (15^3)$ Question 21: C. $\frac{4000}{3} \pi$ units$^3$ Question 22: B. 16:1
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fill in the sentence below with the description that most specifically …
The quadrilateral is most specifically a **parallelogram**, because both pairs of sides are parallel
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question 16 what is the volume of a cone with a radius of 4 and a heigh…
1. Question 16: A. 251.33 units³ 2. Question 17: A. Brand A 3. Question 18: B. Sphere 4. Question 19: D. $16\pi$ units²
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question 12 a right cylinder has a radius of 5 and a height of 9. what …
Question 12: B. $140\pi$ units$^2$ Question 13: D. $40\pi$ units$^2$ Question 14: B. $600$ units$^3$ Question 15: A. $1452\pi$ units$^3$
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fill in the sentence below with the description that most specifically …
The quadrilateral is most specifically a **square**, because it is equilateral and all sides meet at right angles
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homework 11: parallel vs.directions: review the following notes box bel…
1. Equation: $y = -2x - 2$ (Graph: line through $(-3,4)$ with slope $-2$) 2. Equation: $y = 3$ (Graph: horizontal line through $(2,3)$) 3. Equation: $x = -4$ (Graph: vertical line…
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7. 10. $(7x + 16)^circ$ $128^circ$ 12. $27^circ$ $(8x + 9)^circ$
Question 7: $27^\circ$ Question 10: $16$ Question 12: $18$
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question 6 a cone is a solid with base that is a ______, a point not in…
Question 6: D. disc Question 7: A. Cylinder Question 10: C. $600$ units$^2$ Question 11: A. $189$ units$^2$
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the two polygons below are similar. complete the similarity statement. …
Similarity statement: $CDEF \sim RSTQ$ Similarity ratio: $4$
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fill in the sentence below with the description that most specifically …
The quadrilateral is most specifically a rectangle, because it has four right angles and its opposite sides are equal in length.
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15. $(5x - 1)^circ$ $(14x - 4)^circ$ 8. $x^circ$ $84^circ$
Question 15: $x=5$ Question 8: $x=6$