Pre-Calculus Homework Solutions 95

Pre-Calculus Homework Solutions 95 - 3 AB 2x 2(3.5 or 7 BC...

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3. AB 2 x 2(3.5) or 7 BC 4 x 7 4(3.5) 7 or 7 AC x 3.5 3.5 3.5 or 7 4. m 1 50 70 ¬ 180 m 1 120 ¬ 180 m 1 ¬ 60 m 2 m 1 50 60 50 or 110 m 3 m 2 21 ¬ 180 m 3 110 21 ¬ 180 m 3 ¬ 49 5. M J , N K , P L ; MN JK , NP KL , MP JL Page 199 Reading Mathematics 1. Sample answer: If side lengths are given, determine the number of congruent sides and name the triangle. Some isosceles triangles are equilateral triangles. 2. ABC is obtuse because m C 90. 3. equiangular or equilateral Proving Congruence—SSS, SAS Pages 203–204 Check for Understanding 1. Sample answer: In QRS , R is the included angle of the sides QR and RS . 2. Jonathan; the measure of DEF is needed to use SAS. 3. EG ¬ [ 2 ( 4)] 2 [ 3 ( 3)] 2 ¬ 4 0 or 2 MP ¬ (2 4) 2 [ 3 ( 3)] 2 ¬ 4 0 or 2 FG ¬ [ 2 ( 2)] 2 ( 3 1) 2 ¬ 0 16 or 4 NP ¬ (2 2) 2 ( 3 1) 2 ¬ 0 16 or 4 EF ¬ [ 2 ( 4)] 2 [1 ( 3)] 2 ¬ 4 16 or 20 MN ¬ (2 4) 2 [1 ( 3)] 2 ¬ 4 16 or 20 EG MP , FG NP , and EF MN . The corresponding sides have the same measure and are congruent. EFG MNP by SSS. 4. EG ¬ [ 3 ( 2)] 2 [1 ( 2)] 2 ¬ 1 9 or 10 MP ¬ (3 2) 2 (1 2) 2 ¬ 1 1 or 2 FG ¬ [ 3 ( 4)] 2 (1 6) 2 ¬ 1 25 or 26 NP ¬ (3 4) 2 (1 6) 2 ¬ 1 25 or 26 EF ¬ [ 4 ( 2)] 2 [6 ( 2)] 2 ¬ 4 64 or 68 MN ¬ (4 2) 2 (6 2) 2 ¬ 4 16 or 20 The corresponding sides are not congruent, so the triangles are not congruent. 5. Given: DE and
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