Download Geometry End of Year Review: Chapter`s 1

Geometry
End of Year Review: Chapter’s 1-3
Name_______________________
Identify each statement as true or false. If false, explain.
1. The three undefined terms in geometry are point, line, and angle.
2. In a linear pair of angles, one of the angles must be obtuse.
3. A trapezoid has exactly one pair of congruent sides.
4. The semicircle has an arc measure of 360°.
5. A scalene triangle has no sides of the same length.
6. If a point is on the bisector of an angle, then it is equidistant from the sides of the angle.
7. Only one plane can pass through one line and a point that is not on the line.
8. A square is both a rhombus and a rectangle.
Identify each statement as true or false. If false, explain.
9. The centroid of a triangle is the center of gravity for the triangle.
10. The process of observing data, recognizing patterns, and making generalizations about those patterns is
known as deductive reasoning.
11. ABC has vertex C.
12. If two lines are cut by a transversal to form a pair of congruent corresponding angles, then the lines are
parallel.
13. When you construct a figure, you use only a compass and a protractor.
14. The tangent to a circle is a special type of chord.
15. The incenter of a triangle is the intersection of the perpendicular bisectors of its sides.
Complete each statement.
16. A(n) ________________ triangle has angle measures that are all less than 90.
17. A(n) ________________ is a chord that passes through the center of a circle.
18. If 1 and 2 form a linear pair and m1  64 , then m2 = ________________.
19. The ________________ of a triangle is the center of the circle inscribed in the triangle.
20. Each point on the ________________ of a segment is equidistant from the endpoints of the segment.
Lines l and m are parallel. Find each lettered angle measure.
21. a 
22. b 
23. c 
24. d 
Lines l and m are parallel. Find each lettered angle measure.
25. e 
26. f 
27. g 
28. h 
Find the missing term of each sequence.
29. 1, 4, 9, 16, 25, _____, ...
30. 10, 9, 7, 4, 0, – 5 , _____, ...
Find the value of the nth term in each sequence.
31.
32.
33. How many diagonals does a polygon with 32 sides have?
Perform the following constructions.
34. Draw a segment PQ, and then construct its perpendicular bisector.
35. Construct XYZ so that mX  90 and mY  45 .
36. Copy ABC (with a compass and straightedge), and then construct and label its centroid.
37. Draw RS, and then construct a line parallel to RS.
[1] False
[17] diameter
[32] – 11n  17
[2] False
[18] 116
[33] 464
[3] False
[19] incenter
[34]
[4] False
[20] perpendicular bisector
[5] True
[21] a  70
[6] True
[22] b  68
[7] True
[23] c  42
[8] True
[24] d  138
[35]
[36]
[9] True
[25] e  42
[10] False
[26] f  138
[11] False
[27] g  70
[12] True
[13] False
[14] False
[37]
[28] h  110
[29] 36
[30] –11
[15] False
[31] 3n – 8
[16] acute