Geometry Midterm

State the most specific classification for the described triangle: all angles less than 90 degrees and all equal sides.

• Isosceles obtuse triangle
• Scalene right triangle
• Equilateral acute triangle
• Equilateral right triangle

Which of the following is a corollary to the Triangle Angle Sum Theorem?

(List all correct answers.)

a. Triangle congruence is an equivalence relation.

b. Each angle in an equiangular triangle has a measure of 60 degrees.

c. An exterior angle of a triangle forms a linear pair with one of the angles in the

triangle.

d. The acute angles of a right triangle are complementary.

• a
• b

• c

• d

Use the figure and the information to find angle XZY if angle WYV is 130 degrees and angle ZXY is 26 degrees.

• 24 degrees

• 130 degrees
• 45 degrees
• 90 degrees

Complete the congruence statement if triangle LMN is congruent with triangle RST: Segment LN is congruent with segment ____.

• QT
• MN
• RT

• RS

Name the property of triangle congruence: If tringle ABC is congruent with triangle DEF, then triangle DEF is congruent with triangle ABC.

• Symmetric Property of Congruence
• Transitive Property of Congruence
• Reflexive Property of Congruence
• Angle-Side-Angle (ASA) Congruence

Choose a valid congruence statement for the pair of triangles. Then name the postulate or theorem that

justifies the congruence.

• Triangle QRS is congruent to triangle TUV by HL theorem.
• Triangle QRS is congruent to triangle TUV by SAS postulate.
• Triangle QRS is congruent to triangle TUV by SSS postulate.
• Triangle QRS is congruent to triangle TUV by AAS theorem.

List the abbreviations for the following postulates and theorems: 4 general triangle congruence postulates or theorems.

• SAS, SSA, AAS, AAA

• ASA, AA, SSS, AAS

• SSS, SAS, ASA, AAS
• AAA, AA, SSS, ASA

Find the measure of angle 5

• 70°

• 40°

• 110°

• 25°

Find the measure of angle PQR

• 60 degrees

• 45 degrees
• 96 degrees

• 30 degrees

Find the measure of angle EFD

• 84.6 degrees
• 63 degrees

• 90 degrees
• 72.3 degrees