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Triangle A B C is shown. Angle B C A is a right angle. The length of hypotenuse A B is 20 centimeters and the length of B C is 10.5 centimeters. Angle A B C is x.

27.7°

31.7°

58.3°

62.3°

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Triangle A B C is shown. The length of A B is 12, the length of B C is 24, and the length of C A is 12 StartRoot 3 EndRoot

m∠A = 30°, m∠B = 60°, m∠C = 90°

m∠A = 90°, m∠B = 60°, m∠C = 30°

m∠A = 60°, m∠B = 90°, m∠C = 30°

m∠A = 90°, m∠B = 30°, m∠C = 60°

Which statements are correct? Select three options.

△BCD is similar to △BSR.

StartFraction B R Over R D EndFraction = StartFraction B S Over S C EndFraction

If the ratio of BR to BD is , then it is possible that BS = 6 and BC = 3.

(BR)(SC) = (RD)(BS)

StartFraction B R Over R S EndFraction = StartFraction B S Over S C EndFraction

Triangle A B C is shown. Angle A B C is a right angle. Angle B C A is 22 degrees and angle C A B is 68 degrees.

cos(B)

sin(B)

cos(C)

tan(C)

Triangle R S T is shown. Angle T R S is a right angle. The length of R T is 5, the length of R S is 12, and the length of hypotenuse S T is 13.

Five-thirteenths

Five-twelfths

Twelve-thirteenths

Thirteen-twelfths

Point O is the center of dilation. Triangle D E F is dilated to create smaller triangle D prime E prime F prime. The length of O F prime is 3. The length of F prime F is 7.

Three-tenths

Three-sevenths

Seven-thirds

Which best explains whether or not all isosceles triangles are similar?

All isosceles triangles are similar. Two angles within each triangle are always congruent.

All isosceles triangles are similar. The triangle sum theorem states that the sum of the angles in a triangle is 180°. Therefore, the third angle can always be determined.

All isosceles triangles are not similar. The pair of congruent angles within one triangle is not necessarily congruent to the pair of congruent angles within the other triangle.

All isosceles triangles are not similar. Given only the vertex angle of an isosceles triangle, there is not enough information to determine the measures of the base angles. Therefore, it is not possible to determine if the base angles of one isosceles triangle are congruent to the base angles of another.

Triangle MRN is created when an equilateral triangle is folded in half.

units

4 units

units

8 units

Read the proof.Given: m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100°Prove: △HKJ ~ △LNP

CPCTC

definition of supplementary angles

triangle parts relationship theorem

triangle angle sum theorem

Which graph shows a dilation?

On a coordinate plane, 2 triangles are shown. The smaller triangle has points (negative 2, 0), (negative 2, 1), and (0, 0). The larger triangle has points (negative 3, 0), (negative 3, 4), and (2, 0).

On a coordinate plane, 2 triangles are shown. The smaller triangle has points (negative 2, 0), (negative 2, 2), and (1, 0). The larger triangle has points (negative 3, 0), (negative 3, 4), and (2, 0).

On a coordinate plane, 2 triangles are shown. The smaller triangle has points (negative 1, 0), (negative 1, 1), and (2, 0). The larger triangle has points (negative 2, 0), (negative 2, 3), and (4, 0).

On a coordinate plane, 2 triangles are shown. The smaller triangle has points (negative 1, 0), (negative 1, 2), and (3, 0). The larger triangle has points (negative 2, 0), (negative 2, 3), and (4, 0).

Triangles A B C and A double-prime B double-prime C double-prime are shown. Triangle A double-prime B double-prime C double-prime is smaller and to the right of triangle A B C.

a reflection and a dilation

a rotation and a dilation

a translation and a dilation

a reflection and a translation

Rectangle ABCD was dilated to create rectangle A'B'C'D' using point R as the center of dilation.

3 units

5 units

6 units

9 units

To prove that ΔAED ˜ ΔACB by SAS, Jose shows that .

Option

A garden is designed in the shape of a rhombus formed from 4 identical 30°-60°-90° triangles. The shorter distance across the middle of the garden measures 30 feet.

60 ft

120 ft

Triangle J K L is shown. Angle J K L is a right angle. An altitude is drawn from point K to point M on side L J to form a right angle.

ΔJKM

ΔMKL

ΔKML

ΔLJK

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