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```Block 7 Geo Honors Test 3 Practice Questions
11/10/20
Name:
Date:
1.) ΔEFG is isosceles, with m∠G = 94 . The legs are sides _________ and _______.
m∠E = _______
2.) If in ΔABC , m∠A = 50 , m∠C = 80 , AC = 7x + 8 , and BC = 38 − 3x , then x = ______.
3.) Write a two column proof
4.) Write a two-column proof:
5.) Tell which pairs of congruent parts and what methods (SSS, SAS, ASA, AAS, or HL) you
would use to prove the triangles are congruent.
ZZ
a. Given: ∠1 ≅ ∠2; ∠3 ≅ ∠4; ZZZZ
𝑄𝑅 ≅ ZZ
𝑇𝑆
△ 𝑄𝑃𝑅 ≅ ∆𝑇𝑃𝑆 by what method?
b. Given: ∠3 ≅ ∠4; ∠5 ≅ ∠6
∆𝑄𝑃𝑌 ≅ ∆𝑇𝑃𝑋 by what method?
6.) Draw and label a diagram. List in terms of the diagram what is given and what is to be
proved. Then write a two-column proof.
a. In two congruent triangles, if segments are drawn from two corresponding
vertices perpendicular to the opposite sides, then those segments are congruent.
7.) Write a proof in two-column form:
ZZZ ≅ ZZZZ
ZZZ ; 𝐾𝐽
ZZZ ⊥ Z𝐻𝐽
ZZZ; 𝐺𝐽
Given: ZZZZ
𝐺𝐻 ⊥ Z𝐻𝐽
𝐾𝐻
ZZZZ
ZZZ
Prove: 𝐺𝐻 ≅ 𝐾𝐽
```