Q4 Review Test 1 Regular Geo

Trapezoid A'B'C'D' is the image of trapezoid ABCD after a rotation of 110° counterclockwise about point P. Which statement is always true?

What is the volume of a right circular cone that has a height of 7.2 centimeters and a radius of 2.5 centimeters, to the nearest tenth of a cubic centimeter?

• 37.7

• 47.1

• 113.1

• 141.4

In the diagram below of parallelogram ABCD, diagonal BED and EF are drawn, EF ⊥ DFC, m∠DAB = 111°, and m∠DBC = 39°. What is m∠DEF?

• 30°

• 51°

• 60°

• 120°

In the diagram below of ΔACT, ES is drawn parallel to AT such that E is on CA and S is on CT. Which statement is always true?

• CE/CA = CS/ST

• CE/ES = EA/AT

• CE/EA = CS/ST

• CE/ST = EA/CS

On the set of axes below, congruent triangles ABC and DEF are drawn. Which sequence of transformations maps △ABC onto △DEF?

• A counterclockwise rotation of 90 degrees about the origin, followed by a translation 8 units to the right.

• A counterclockwise rotation of 90 degrees about the origin, followed by a reflection over the y-axis.

• A counterclockwise rotation of 90 degrees about the origin, followed by a translation 4 units down.

• A clockwise rotation of 90 degrees about the origin, followed by a reflection over the x-axis.

Parallelogram BETH, with diagonals BT and HE, is drawn below. Which additional statement is sufficient to prove that BETH is a rectangle?

• BT ⊥ HE

• BE ⊥ HT

• BT ≅ HE

• BE ≅ ET

In the diagram below, ΔDOG ~ ΔCAT, where ∠G and ∠T are right angles. Which expression is always equivalent to sin D?

• sin C

• sin A

• tan A

• cos C

• (0,0)

• (2,-3)

• (0,-2)

• (-4,0)

Rectangle ABCD has two vertices at coordinates A(-1,-3) and B(6,5). The slope of BC is

In right triangle ABC, m∠A = 90°, m∠B = 18°, and AC = 8. To the nearest tenth, the length of BC is

• 2.5

• 8.4

• 24.6

• 25.9