Quarterly 2 Test Review

HL Thm

SSS Post.

AAS Thm

SAS Post.

ASA Post.

Given Def. of midpoint ASA Postulate CPCTC

A BC 42°

8. If two parallel lines are cut by a transversal, then corresponding angles are ____________. 9. If two parallel lines are cut by a transversal, then alternate interior angles are _________. 10. If two parallel lines are cut by a transversal, then same-side interior angles are _____________. supplementary

11. A median of a triangle is a segment from the vertex to the ________________ of the opposite side. 12. A(n) ___________ of a triangle is a segment from a vertex perpendicular to the opposite side. 13. A perpendicular bisector of a segment is a line (or ray or segment) that is ______________ to the segment as its ______________. altitude midpoint perpendicular midpoint

never always sometimes

FALSE; = 40 FALSE A B C

21. Find x. 3x + 85 = 8x 85 = 5x x = 17

22. What is the interior angle sum of a decagon? 23. What is the exterior angle sum of a decagon? 24. What is the measure of each interior angle of a regular decagon? 25. What is the measure of each exterior angle of a regular decagon? 26. What polygon has an interior angle measuring 135°? (n – 2)180(10 – 2) ° 360° 144° 36° octagon

27. List the angles from greatest to smallest. 28. List the sides from greatest to smallest.

29. If point O lies in the interior of  ABC, then m  ABC = m  ABO + m  ____________. (hint: Draw your own picture.) 30. If point O does not lie on straight angle ABC, then m  ABO + m  CBO = _____°. (hint: Draw your own picture.) A B C O A B C O OBC 180

x – 8 3x + 2 x – 8 + 3x + 2 = 90 4x – 6 = 90 4x = 96 x = 24

For # 32 – 35, name the property is used. 32. If a = b and b = c, then a = c. 33. If a = b, then b = a. 34. a = a 35. If a = b and a + c = d, then b + c = d. Transitive Property Symmetric Property Reflexive Property Substitution Property

36. If two lines intersect, then their intersection is a ______________. 37. If two planes intersect, then their intersection is a ______________. point line

6x + 3 8x - 7 8x – 7 = 6x + 3 x = 5 5

3x x + 6 3x = x + 6 2x = 6 x = 3

corresponding s-s interior alt. interior 105° 75°

6x + 2 = 8x – = 2x x = 6

47. What is the image of P(3, –5) using the translation (x, y) → (x + 4, y – 6)? P’(7, –11) P’(3 + 4, –5 – 6)

For #48-51, use the coordinate plane to the right. 48. What is the image of P(1, 4) if (x, y) is reflected in the y–axis? 49. What is the image of P(1, 4) if (x, y) is reflected in the x-axis? P’(–1, 4) P’(1, –4)

50. What is the image of P(1, 4) if (x, y) is reflected in the line y = x? 51. What is the image of P(1, 4) if (x, y) is reflected in the line y = –x? P’(4, 1) P’(–4, –1)

For #52 – 54, describe the transformation shown. 52. translation

53. reflectionover x-axis

54. rotation180° clockwise or counterclockwise about the origin

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