Triangles and Congruence
Transformations
Circles
Coordinate Geometry
Volume and Density
100

Triangle ABC has side lengths 7, 24, and 25. What type of triangle is it based on its side lengths?

A scalene triangle

100

What type of transformation slides a figure without turning it?

Translation

100

What do you call a segment with both endpoints on the circle?

A chord

100

What is the slope of a line that passes through the points (–2, 3) and (4, 1)?

-1/3

100

Find the volume of a rectangular prism with length 5 units, width 3 units, and height 4 units.

60 units3

200

In triangle ABC, the exterior angle at vertex C measures 120° and ∠A measures 50°. What is the measure of ∠B?

70°

200

A triangle is reflected across the x-axis. If one vertex was at (3, 4), where is the image of that vertex?

(3, –4)

200

In a circle, a central angle measures 80°. What is the measure of the intercepted arc?

80°

200

What is the midpoint of the segment joining (–6, 4) and (2, –2)?

(-2, 1)

200

A cone has a radius of 3 cm and a height of 9 cm. What is its volume in terms of pi?

27pi cm3

300

In △ABC and △DEF, AB ≅ DE, ∠B ≅ ∠E, and BC ≅ EF. Which triangle congruence theorem proves △ABC ≅ △DEF?

SAS

300

What single transformation maps point A(–2, 3) to A′(2, -3)?

180° rotation around the origin

300

What is the center and radius of the circle with equation (x+3)2+(y–2)2=49

Center (–3, 2) and radius 7

300

What is the distance between the points A(–3, 7) and B(2, –5)?

13 

300

A block of metal has a volume of 120 cm³ and a mass of 960 g. What is its density?

8 g/cm3

400

In triangle XYZ, XY ≅ XZ. If ∠Y = 40°, what is the measure of ∠Z?

40°

400

Which 3 transformation(s) will always preserve both angle measure and side length?

translations, reflections, and rotations

400

In circle O, arc AC measures 6x–8 degrees. ∠ABC is an inscribed angle that intercepts arc AC and measures 2x+1 degrees. What is the value of ∠ABC?

11°

400

Given the points A(1, 2), B(4, 6), and C(0, 9), prove that triangle ABC is a right triangle.

AB Slope = 4/3

BC Slope = -3/4

400

A town has an area of 25 square kilometers and a population density of 150 people per square km. What is the population of the town?

3,750 people

500

In triangle ABC, D and E are midpoints of AB and AC, and DE is drawn. What is the relationship between DE and BC?

DE is parallel to BC 

or

DE = ½ BC

500

Triangle XYZ has vertices X(–1, 2), Y(3, 2), and Z(0, –1). After a transformation, the image X′Y′Z′ has vertices X′(2, 1), Y′(2, –3), and Z′(-1, 0).
What transformation maps triangle XYZ onto triangle X′Y′Z′?

90° clockwise about the origin

500

In circle O, chords AB and CD intersect at point E inside the circle. The measure of arc AD is 140°, and the measure of arc BC is 80°. What is the measure of ∠AEC?  

70°

500

Given the vertices of quadrilateral ABCD as A(1, 2), B(5, 5), C(8, 1), and D(4, –2), what is the most specific type of quadrilateral can ABCD be called?

A rectangle

500

A solid is made of a cylinder with a hemisphere on top. The cylinder has a radius of 3 in and height of 10 in. What is the total volume of the solid to the nearest cubic inch?

339 in3

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