Geometry
Triangles, circles, coordinate geometry, and proof-oriented questions.
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solve for x. 18 m 36 m 45.6 54 38.9 40.2
40.2
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what is the longest side of a right triangle called? leg a pythagoras b…
C. Hypotenuse
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do these 3 side lengths form a right triangle? 13, 80, and 81?
no
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review the text. then, choose two details that best suggest that detect…
1. "You're Mayor Henderson's son, But I don't remember seeing you in training." 2. "I didn't think I needed training," replied Greg, smiling smugly.
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solve for c
13
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which set of sides would make a right triangle? 8,10,12 5,10,12 4,5,6 5…
5,12,13
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the legs form what type of angle? acute obtuse right reflex
No specific answer can be given as the figure showing the legs is not provided. If more information about the measure or appearance of the angle formed by the legs was available, …
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17. a gift box is cube - shaped and has a volume of 216 cubic inches. s…
6 inches
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deep in thought, detective crosby surveyed the crime scene. all the evi…
Detective Crosby assumes the photographer only got his job because his father is the mayor.
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82 in. 18 in. find the length of the missing side. 68 in. 20 in. 16 in.…
80 in.
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a 12 - ft ladder leans against the side of a house. the bottom of the l…
The top of the ladder is 8.9 ft from the ground.
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use the given information to find m∠a. m∠d = 119°, m∠a=(2x)°, m∠b=(x + …
\(59\)
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the legs form what type of angle? reflex obtuse acute right
C. Acute
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find the value of x.
17
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use the given information to find m∠a. m∠d = 119°, m∠a=(2x)°, m∠b=(x + …
$61^{\circ}$
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find the volume of the figure the volume of the figure is □
512
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use the appropriate formula to determine the a) area of the figure and …
a) 44 $cm^{2}$ b) 32 cm
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aim: what is the importance of having a strong handshake? performance o…
1. A good handshake is essential in professional settings because it conveys confidence, professionalism, and respect, which help in making a strong first impression and building …
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use the given information to find m∠a. m∠d = 119°, m∠a=(2x)°, m∠b=(x + …
$61$
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20) the perimeters of the square and equilateral triangle below are the…
\(x = 3.3\), side - length of the square is \(15\), side - length of the equilateral triangle is \(20\)
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didnt you notice that the crews nerves seemed a bit jumpy today? they w…
1. Superstitions can change behavior by creating psychological barriers that influence decision - making. 2. The sound that startles Rainsford is gunshots. 3. We can infer that th…
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16. decide whether each of the following is true or false, and circle t…
a. False b. True c. False d. False
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two angles are supplementary. the measure of the larger angle is 12 les…
C. $132^{\circ}$
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most new buildings are required to have a ramp for the handicapped that…
8
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for the figure shown, find m∠1 and m∠2. m∠1 = 127°. m∠2 = □° (the figur…
$53$
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most new buildings are required to have a ramp for the handicapped that…
A. $m=\frac{1}{12}$
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most new buildings are required to have a ramp for the handicapped that…
(b) 11 feet (c) 144 feet
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for the figure shown, find m∠1 and m∠2. m∠1 = 127° m∠2 = □° (the figure…
m∠2 = 97°
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for the figure shown, find m∠1 and m∠2. m∠1 = 127°. m∠2 = □°. (the figu…
\(m\angle2 = 53^{\circ}\)
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for the figure shown, find m∠1 and m∠2. m∠1 = 127° m∠2 = ° (the figure …
\(m\angle1 = 95^{\circ}\), \(m\angle2 = 85^{\circ}\)
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part 2 of 2 for the figure shown, find m∠1 and m∠2. m∠1 = 118° m∠2 = (t…
\(m\angle1 = 50^{\circ}\), \(m\angle2 = 34^{\circ}\)
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for the figure shown, find m∠1 and m∠2. (the figure is not drawn to sca…
\(m\angle2 = 46^{\circ}\)
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give a pair of alternate interior angles, a pair of alternate exterior …
(a) $\angle3$ and $\angle6$ (b) $\angle2$ and $\angle7$ (c) $\angle1$ and $\angle5$
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finding angles in exercises 12 - 17, complete the statement given that …
$34^{\circ}$
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read the passage and answer the following question. grade 8 unit 2: tri…
A dilation changes the size of the triangle. Congruent triangles must have the same size. So the triangle with a dilation transformation is not congruent to triangle ABC.
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for the following problems, complete the triangle - congruence statemen…
10. \(\triangle AYX\cong\triangle BYZ\) by SAS 11. \(\triangle RTQ\cong\triangle STQ\) by SSS 12. \(\triangle PMK\cong\triangle NMQ\) by ASA 13. \(\triangle ABD\cong\triangle BAC\…
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answer a reflection over the x - axis a reflection over the y - axis a …
D. A clockwise rotation of 270° about the origin
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here are two pictures of a bird. find evidence that one picture is not …
One possible evidence could be that the ratio of the body length to the wing length is different in the two pictures or the angles of the wings relative to the body are different.
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answer a counterclockwise rotation of 180° about the origin a countercl…
A counterclockwise rotation of \(270^{\circ}\) about the origin
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which angle number represents an angle vertical to ∠jrm?
$\angle 4$
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3. suppose △abc≅△efg. for each of the following, name the corresponding…
3. a. $\angle E$ b. $\angle FGE$ c. $\overline{EG}$ d. $\angle B$ e. $\angle CAB$ f. $\overline{CA}$ 4. $\angle DCE$ 5. SSS 6. SAS 7. not enough info 8. AAS 9. ASA
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three vertices of a parallelogram are shown in the figure below. give t…
\((-3,4)\)
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three vertices of a parallelogram are shown in the figure below. give t…
\((3,-3)\)
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original point rotation about the origin 90° clockwise reflection acros…
| Original Point | Rotation About the Origin 90° Clockwise | Reflection Across the X - AXIS | Translation 4 Units to the Right | |----|----|----|----| | (9, 5) | (5, - 9) | (9, - …
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a carpenter is building fink roof trusses to create the roof frame on a…
Yes, the truss design includes similar triangles because the corresponding angles of the triangles in the design are equal.
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1. △pqr≅△xyz. list three pairs of angles that are congruent. 2. △abc≅△j…
1. $\angle P\cong\angle X$, $\angle Q\cong\angle Y$, $\angle R\cong\angle Z$ 2. $AB\cong JK$, $BC\cong KL$, $AC\cong JL$
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original point rotation about the origin 90° clockwise reflection acros…
| Original Point | Rotation About the Origin 90° Clockwise | Reflection Across the X - AXIS | | ---- | ---- | ---- | | $(9,5)$ | $(5,-9)$ | $(5,9)$ | | $(-3,3)$ | $(3,3)$ | $(3,-3…
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the diameter, d, of a sphere is 12.4 m. calculate the spheres volume, v…
$1002.2$ m³
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plot (4, - 5). plot the point (4, - 5) in a rectangular coordinate syst…
The point (4, - 5) is plotted 4 units to the right of the y - axis and 5 units below the x - axis on the rectangular coordinate system.
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solve for the value of e. answer attempt 1 out of 2 e =
$e = 6$
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original point\trotation about the origin 90° clockwise (9, 5) (-3, 3) …
| Original Point | Rotation About the Origin 90° Clockwise | | ---- | ---- | | $(9,5)$ | $(5,-9)$ | | $(-3,3)$ | $(3,3)$ | | $(-2,-4)$ | $(-4,2)$ | | $(x,y)$ | $(y,-x)$ |
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he can fit two bars of soap side by side on the bottom of this box. dav…
18
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find the sum of the interior angle measures of a convex 13 - gon (a thi…
$1980$
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find the sum of the interior angle measures of a convex nonagon (a nine…
$1260$
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find the volume of a cone with a height of 6 cm and a base radius of 4 …
$100.48\ cm^{3}$
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2 multiple answer 1 point select all transformations that must take any…
Rotation of 180 degrees around the midpoint of segment AB, Translation by the directed line segment AB
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the first number in an ordered pair such as (6,6) is called the x - coo…
The first number in an ordered pair such as (6,6) is called the x - coordinate. The second number in such an ordered pair is called the y - coordinate.
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a company makes storage containers with sheet - steel walls. the contai…
640
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find the measure of the missing angles. answer attempt 1 out of 2 d = □…
$d = 90^{\circ}$, $e = 109^{\circ}$, $f = 71^{\circ}$
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complete the proof by choosing the correct eason\. given: eh = gj, fh =…
$EF = GH$
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fill in the blank so that the resulting statement is true. the axes of …
quadrants; four
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sam built a large wooden storage box. the box was in the shape of a rec…
3
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answer the questions below. (a) bill is trying to prove a statement abo…
(a) Conjecture (b) Theorem (c) Definition (d) Axiom (e) Theorem
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the diameter of a cylindrical construction pipe is 4 ft. if the pipe is…
$214$ $ft^{3}$
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given: ∠tsr and ∠qrs are right angles; ∠t ≅ ∠q. prove: △tsr ≅ △qrs. ste…
of the AAS congruence theorem.
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can a translation and a reflection map △qrs to △tuv? explain why or why…
Yes, a translation mapping vertex Q to vertex T and a reflection across the line containing QS will map △QRS to △TUV.
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two rigid transformations are used to map △jkl to △mnq. the first is a …
a reflection across the line containing $\overline{LK}$
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given: ∠abc and ∠fgh are right angles; ba∥cf; bc≅gh prove: △abc≅△fgh st…
ASA congruence theorem.
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find the perimeter of the rectangle. then, find the area of the rectang…
Perimeter: 16 units Area: 15 square units
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after the point y (-4, -9) is translated along the vector <-3, 7>, the …
$(-7,-2)$
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4 select all the digital construction tools that do the same job as a s…
4. D, E 5. D 6. Check side - lengths and angle measures. Triangles from regular polygon tool are equilateral. 7. B
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which shows two triangles that are congruent by aas?
Without seeing the actual markings on the triangles clearly in the image, it's not possible to give a definite answer. But the process is to look for two angles and a non - includ…
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true or false. the area of the parallelogram can be determined by multi…
False
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what is the volume of this cylinder? round your answer to the nearest h…
$3358.33$
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△abc is the image of △abc under a translation. determine the translatio…
A translation by 7 units to the left and 5 units up.
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∠3 is a complement of ∠4, and m∠3 = 46°. find m∠4. ∠7 is a supplement o…
$m\angle4 = 44^{\circ}$ $m\angle8 = 71^{\circ}$ $m\angle UVW = 12^{\circ}$, $m\angle XYZ = 78^{\circ}$
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round your answer to the nearest hundredth. 8 yd 13.2 yd cubic yards su…
364.82
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what is the volume of this cylinder? round your answer to the nearest h…
$3606.43$
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what is the volume of this triangular pyramid? 12 mm 8 mm 10 mm cubic m…
160
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what is the volume of this triangular pyramid? 10 ft 14.4 ft 11 ft cubi…
264
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the volume of this cube is 2,744 cubic centimeters. what is the value o…
14
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point c(-4, -3) is the image of c(-2, -3) under a translation. determin…
2, left
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the volume of this cone is 1,610.82 cubic yards. what is the radius of …
$9$ yards
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what is the best estimate for the area of the triangle, in square units?
18
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the volume of this cone is 452.16 cubic millimeters. what is the radius…
6.00
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the volume of this triangular prism is 1,080 cubic meters. what is the …
12
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the volume of this triangular prism is 480 cubic millimeters. what is t…
10
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in the figure, the triangles are similar. what is the distance d from t…
$21.4$
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∠3 is a complement of ∠4, and m∠3 = 46°. find m∠4. ∠7 is a supplement o…
m∠4 = 50° m∠8 = 80° x (for ∠UVW and ∠XYZ)=22 x (for the triangle)=13 x (for vertical angles ∠JKL and ∠XKY)=2
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date: 9/24/25 block:____ a homework sheet area of each shape below.
The volume of the first rectangular - prism is \(105\) cubic inches and the volume of the second rectangular - prism is \(480\) cubic inches.
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find the missing angle of the triangle: - 3y - 2(2y + 4) = - 36
The angles of the triangle are 24°, 136°, and 20°.
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a cell phone tower casts a 100 - foot shadow. at the same time, a 4 - f…
135
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write an equation of the parabola in intercept form. an equation of the…
$y=-4(x - 2)(x - 4)$
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a 4 in. by 6 in. picture is surrounded by matting that is 3 inches wide…
44 inches
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nathan is standing next to a building. he is 6 feet tall, and the lengt…
215
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find the measure of the missing angles. answer attempt 1 out of 2 d = °…
$d = 121^{\circ}$, $e = 101^{\circ}$, $f = 59^{\circ}$
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find the measure of the missing angle. answer attempt 1 out of 2 a =
$24$
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malik casts a 7 - foot shadow. at the same time, a nearby mailbox casts…
$5.25$
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give the coordinates of the point obtained from each reflection. (a) re…
(a) $(-6,-9)$ (b) $(6,9)$
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malik casts a 7 - foot shadow. at the same time, a nearby mailbox casts…
$5.25$