Geometry TAP Unit 5 Quiz

Classify the triangle by its sides and angles.

• Scalene, Right

• Isosceles, Acute

• Equilateral, Obtuse

• Isosceles, Right

If QR ≅ SR, PQ ≅ TS, and R is the midpoint of PT, determine the theorem or postulate that can be used to show that ΔQRP ≅ ΔSRT.

• A) SSS

• B) SAS

• C) ASA

• D) AAS

Write the triangle congruence statement for the triangles below.

• ΔABC ≅ ΔDRS

• ΔABC ≅ ΔDSR

• ΔACB ≅ ΔRSD

• ΔBAC ≅ ΔRDS

If ΔABC is an isosceles triangle, and AB = BC, AB = 6x + 3, BC = 8x - 1, and AC = 10x - 10, find x and the measures of each side of the triangle.

• A) x = 2, AB = 15, BC = 15, AC = 10

• B) x = 3, AB = 18, BC = 18, AC = 20

• C) x = 1, AB = 9, BC = 9, AC = 0

• D) x = 4, AB = 27, BC = 27, AC = 30

Answer explanation

Find m∠T.

• 120°

• 130°

• 140°

• 150°

Find m∠ 1 .

• 120°

• 130°

• 140°

• 150°

Find x

Mathematical Equivalence

ON

Determine which postulate can be used to prove the triangles are congruent. If it is not possible to prove they are congruent, select not possible

• A) SSS

• B) SAS

• C) AAS

• D) Not possible

Determine which postulate can be used to prove the triangles are congruent. If it is not possible to prove they are congruent, select not possible

• SSS

• SAS

• AAS

• Not possible

• HL

Determine which postulate can be used to prove the triangles are congruent. If it is not possible to prove they are congruent , select not possible.

• A) SSS

• B) SAS

• C) AAS

• D) Not possible