Analyze Shapes With Given Conditions

Triangle PQR is reflected across the line x = 2. The image is then translated 4 units to the right, resulting in triangle STU. Which of the following statements are true? Select all that apply.

• PQ = ST

• PQ = TU

• m∠R = m∠U

• m∠P = m∠U

Which of the following statements is true?

• ΔJKL ≅ ΔMNO

• ΔJKL ≅ ΔPQR

• ΔSTU ≅ ΔMNO

• ΔSTU ≅ ΔJKL

Complete the statement below to prove that ΔMNO is not congruent to ΔPQR.

The segment QR cannot be mapped onto ___________ by any composition of rigid motions.

• MO

• NO

• MN

Alicia analyzes the quadrilaterals shown on the coordinate plane. Which equation could Alicia use to show that thee two shapes are congruent?

• Translate PQRS 3 units to the left, then rotate 90.

• Translate PQRS 3 units down, then rotate 90.

• Translate PQRS 3 units to the left, then rotate 180.

• Translate PQRS 3 units down, then rotate 180.

Which of the following statements is incorrect?

• FE = 58

• DE = 58

• x = 8

• DF = 40

Which of the following statements is incorrect?

• A triangle with 3 congruent sides is equilangular.

• The Isosceles Triangle Theorem can be applied to equilateral triangles.

• The measure of each angle of an equilateral triangle is 120°.

• A triangle with 3 congruent angles is equilateral.

In the figure shown, what is the m∠A.

• 57

• 123

• 66

• 180

An equilangular triangle has one side length of 6 inches. What is the height of the triangle? (Hint: Pythagorean Theorem)

• 6 in.

• 5.2 in.

• 12 in.

• 6.1 in.

In the figure shown, what is the value of x?

• 19

• 18

• 17

• 16

In the figure shown, which composition of rigid motions will map one triangle onto the other?

• A glide reflection

• a reflection followed by a translation

• two translations

• a rotation followed by a translation