Geometry Diff Chapter 3 Test Review Answers 1. Alternate Exterior Angles 2. Consecutive Interior Angles 3. Alternate Interior Angles 4. m = −6 − 1 8 − 8 = −7 0 , therefore the slope is undefined 5. m = 0 − 6 4 − 0 = −6 4 = − 3 2 6. m = 3 − 3 6 −−6 ( ) = 0 12 = 0 7. m = 1 − 4 8 − 5 = −3 3 = −1 8. m∠9 = 84° , because ∠9 is a consecutive interior angle with ∠8 , and ∠8 is a vertical angle with ∠2 . 9. m∠ 11 = 138° , because ∠ 11 is a linear pair angle with ∠ 12 . 10. m∠6 = 42° , because ∠6 is an alternate interior angle with ∠ 12. 11. Because the two angles marked are alternate exterior angles, then x − 8 = 120 ⇒ x = 128 13. For the line y = 2 x − 17 , m = 2 , then the ⊥ m = − 1 2 , therefore the equation of perpendicular line is y − 1 = − 1 2 x −−8 ( ) ( ) ⇒ y − 1 = − 1 2 x − 4 ⇒ y = − 1 2 x − 3 14. For the line y = 4 x − 19, m = 4 , then the parallel m = 4 , therefore the equation of parallel line is y − 7 = 4 x − 0 ( ) ⇒ y − 7 = 4 x − 0 ⇒ y = 4 x + 7 15. For the line y = − 2 3 x − 11, m = − 2 3 , then the ⊥ m = 3 2 , therefore the equation of perpendicular line is y − 3 = 3 2 x −−12 ( ) ( ) ⇒ y − 3 = 3 2 x + 18 ⇒ y = 3 2 x + 21 16. For the line y = x − 11 , use the point B(0, -11) and m = 1, then the ⊥ m = −1, giving the equation of perpendicular line as y = mx + b ⇒ y = − x − 11 . The intersection of the lines y = x − 7 and y = − x − 11 is x − 7 = − x − 11 ⇒ 2 x = −4 ⇒ x = −2 and y = x − 7 ⇒ y = −2 ( ) − 7 ⇒ y = −9 , giving the intersection point (-2, -9). The distance from (0, -11) to (-2, -9) is d = −2 − 0 ( ) 2 + −9 −−11 ( ) ( ) 2 = −2 ( ) 2 + 2 () 2 = 8 ≈ 2.828 .
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Geometry Diff Chapter 3 Test Review Answerswp.lps.org/jdevrie/files/2013/08/GeomD_Ch3_Test_RevAns.pdfGeometry Diff Chapter 3 Test Review Answers 1. Alternate Exterior Angles 2. Consecutive
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