Chapter 4 Test

Which best describes the type of triangle?

• acute

• equiangular

• obtuse

• right

What is the value of x if △ABC is equilateral?

• -8

• 2

What is m∠2?

• 50

• 70

• 110

• 120

What is m∠4?

• 10

• 60

• 100

• 120

Which triangles are congruent in the figure?

• △ABC ≅ △EBD

• △ABE ≅ △CBD

• △AEB ≅ △CBD

• △ABE ≅ △CDB

If △CJW ≅ △AGS, m∠A = 50, m∠J = 45, and m∠S = 16x + 5, what is the value of x?

• 17.5

• 6

• 11.875

• 5

Two triangles are graphed with the following vertices: A(1, 1), B(0, 1), C(0, 0) and Q(–2, 1), R(–1, 1), S(–1, 0). When a transformation is applied to △ABC, the result is △QRS. Which best describes the transformation?

• △QRS is a translation of △ABC.

• △QRS is a rotation of △ABC.

• △QRS is a reflection of △ABC.

• △QRS and △ABC are not congruent.

A triangular-shaped roof of a house has congruent legs. What is the measure of each of the two base angles?

• 25

• 100

• 50

• 120

What is the reason for ∠JLK ≅ ∠MLN?

• definition of midpoint

• corresponding angles

• vertical angles

• alternate interior angles

What is the reason for △JKL ≅ △MNL?

• AAS

• ASA

• SAS

• SSS