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XYZ is a triangle and Y A || AZ. Y A 4 2. 3 Prove that the interior angles of a triangle sum to 180 degrees by moving statements into the correct boxes Step 1: XYZ is a triangle and YA XZ because this is given information. Step 2: 2 24 and 23 5 because Step 3: m/4+ mZ1+ mZ5= 180° because angles that complete a line sum to 180°. Step 4: m/2 + mZ1+ mZ3 = 180° because when parallel lines are cut by a transversal, alternate interior angles are congruent when parallel lines are cut by a transversal, corresponding angles are congruent

XYZ is a triangle and Y A || AZ. Y A 4 2. 3 Prove that the interior angles of a triangle sum to 180 degrees by moving statements into the correct boxes Step 1: XYZ is a triangle and YA XZ because this is given information. Step 2: 2 24 and 23 5 because Step 3: m/4+ mZ1+ mZ5= 180° because angles that complete a line sum to 180°. Step 4: m/2 + mZ1+ mZ3 = 180° because when parallel lines are cut by a transversal, alternate interior angles are congruent when parallel lines are cut by a transversal, corresponding angles are congruent

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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XYZ is a triangle and YA XZ. 4 1 Prove that the interior angles of a triangle sum to 180 degrees by moving statements into the correct boxes. Step 1: XYZ is a triangle and YA XZ because this is given information. Step 2: 22 24 and 23 25 because Step 3: m4+mZ1+ m253 180° because angles that complete a line sum to 180°. Step 4: m/2 + m/1+mZ3 =.180° because when parallel lines are cut by a transversal, alternate interior angles are congruent when parallel lines are cut by a transversal, corresponding angles are congruent
Transcribed Image Text:XYZ is a triangle and YA XZ. 4 1 Prove that the interior angles of a triangle sum to 180 degrees by moving statements into the correct boxes. Step 1: XYZ is a triangle and YA XZ because this is given information. Step 2: 22 24 and 23 25 because Step 3: m4+mZ1+ m253 180° because angles that complete a line sum to 180°. Step 4: m/2 + m/1+mZ3 =.180° because when parallel lines are cut by a transversal, alternate interior angles are congruent when parallel lines are cut by a transversal, corresponding angles are congruent
Prove that the interior angles of a triangle sum to 180 degrees by moving statements into the correct boxes. Step 1: XYZ is a triangle and YA XZ because this is given information. Step 2: 22 2 24 and 23 5 because Step 3: m4 + m21+ m5= 180° because angles that complete a line sum to 180°. Step 4: m22+ mZ1+ m23 = 180° because when parallel lines are cut by a transversal, alternate interior angles are congruent when parallel lines are cut by a transversal, corresponding angles are congruent when parallel lines are cut by a transversal, alternate of the addition property of equality exterior angles are congruent of the subtraction property of equality of the substitution property of equality
Transcribed Image Text:Prove that the interior angles of a triangle sum to 180 degrees by moving statements into the correct boxes. Step 1: XYZ is a triangle and YA XZ because this is given information. Step 2: 22 2 24 and 23 5 because Step 3: m4 + m21+ m5= 180° because angles that complete a line sum to 180°. Step 4: m22+ mZ1+ m23 = 180° because when parallel lines are cut by a transversal, alternate interior angles are congruent when parallel lines are cut by a transversal, corresponding angles are congruent when parallel lines are cut by a transversal, alternate of the addition property of equality exterior angles are congruent of the subtraction property of equality of the substitution property of equality
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