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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