1. No category

WORKSHEET 5.6 – Indirect Proof and
Inequalities in Two Triangles
Name: _____________________________ Hour: __________ Date: ______________
SECTION 1: Fill in the blank with <, >, or =.
1) TU _______ RS
2) KD _____ CP
3) m∠1 _____ m∠2
4) m∠1 _____ m∠2
5) ET _____ GT
6) m∠1 _____ m∠2
SECTION 2: Use the diagram to answer each question.
7) If m∠1 = 34˚, which of
the following could be a
measurement of ∠2?
29˚, 34˚, 37˚
8) If BC = 42 cm, which of
the following could be a
measurement of FE?
40 cm, 42 cm, 46 cm
9) If m∠1 = 118˚, which of
the following could be a
measurement of ∠2?
83˚, 118˚, 125˚
SECTION 3: Match the hypothesis on the left with the conclusion on the right.
10) If AB = BC and m∠1 > m∠2…
A) …then m∠7 > m∠8.
11) If AE > EC and AD = CD…
B) …then AD > AB.
12) If m∠9 < m∠10 and BE = ED…
C) …then m∠10 > m∠3.
13) If AB = ED and BE < AD…
D) … then AE > EC.
SECTION 4: Write an Indirect Proof.
14) GIVEN: ∠ABC and ∠DBC are not congruent
PROVE: BC and AD are not perpendicular
15) GIVEN: ∠1 and ∠5 are not congruent.
PROVE: ∠2 and ∠3 are not supplementary