Geometry 1st Semester Review
Multiple Choice
Identify the letter of the choice that best completes the statement or answers the question.
1. Which angle is an obtuse angle?
a.
c.
b.
d.
2. Which angle is an acute angle?
a.
c.
b.
d.
3. Each unit on the map represents 5 miles. What is the actual distance from Oceanfront to Seaside?
a.
10 miles
c.
about 8 miles
b.
50 miles
d.
about 40 miles
4. How are the two angles related?
a.
vertical
c.
supplementary
b.
complementary
d.
adjacent
5. Graph y = x + 1.
a.
c.
b.
d.
6. Graph .
a.
c.
b.
d.
7. Write an equation for the line parallel to y = –3x + 8 that contains P(7, 4).
a.
b.
8. Write an equation for the line perpendicular to y = x - 4 that contains (-6, 8).
a.
b.
9. What must be true about the slopes of two perpendicular lines, neither of which is vertical?
a.
The slopes are equal.
b.
The slopes have product 1.
c.
The slopes have product –1.
d.
One of the slopes must be 0.
10. In each pair of triangles, parts are congruent as marked. Which pair of triangles is congruent by SAS?
a.
c.
b.
d.
11. Triangle ABF is congruent to triangle EDF.
What is the measure of angle FAE?
a.
38
c.
56
b.
28
d.
86
12. Name the smallest angle of The diagram is not to scale.
a.
Two angles are the same size and smaller than the third.
b.
c.
d.
13. The location of point K after a translation is (-2, 3). Which rule describes this translation?
a.
(x - 3, y + 6)
c.
(x, y + 6)
b.
(x - 6, y + 3)
d.
(x - 3, y)
14. Bella transformed triangle ABC to make triangle A'B'C'.
a.
reflection over the x-axis
c.
translation two units down
b.
reflection over the y-axis
d.
translation four units down
15. Triangle Q'R'S' is a translation of triangle QRS.
a.
translation 3 units left and 5 units up
c.
translation 3 units right and 5 units down
b.
translation 5 units left and 3 units up
d.
translation 5 units right and 3 units down
16.
Olivia reflects the triangle over the x-axis, then rotates it 90° clockwise around the origin.
Which graph shows the resulting triangle?
a.
c.
b.
d.
17. What must be true about the slopes of two parallel lines, neither of which is vertical?
a.
The slopes are equal.
b.
The slopes have product 1.
c.
The slopes have product –1.
d.
One of the slopes must be 0.
Short Answer
18. Name the three labeled segments that are parallel to
19. Which plane is parallel to plane BDHF?
20. Find AC.
21. If find the values of x, EF, and FG. The drawing is not to scale.
22. If T is the midpoint of find the values of x and ST. The diagram is not to scale.
23. Which point is the midpoint of ?
24. If and , then what is the measure of The diagram is not to scale.
25. If and then what is the measure of The diagram is not to scale.
26. Find the distance between points P(2, 7) and Q(4, 2) to the nearest tenth.
27. Find the coordinates of the midpoint of the segment whose endpoints are H(2, 1) and K(6, 3).
28. Find the perimeter of with vertices A(0, –7), B(4, –7), and C(0, –4).
29. and are complementary angles. m = , and m = . Find the measure of each angle.
30. and are supplementary angles. , and . Find the measure of each angle.
31. Find the value of x.
32. Find
33. Line r is parallel to line t. Find m5. The diagram is not to scale.
34. Find the value of the variable if and The diagram is not to scale.
35. Find The diagram is not to scale.
36. Find the value of k. The diagram is not to scale.
37. Find the values of x, y, and z. The diagram is not to scale.
38. Find the value of x. The diagram is not to scale.
39. Find the value of the variable. The diagram is not to scale.
40. Find the sum of the measures of the angles of the figure.
41. Find the missing angle measures. The diagram is not to scale.
42. The sum of the measures of two exterior angles of a triangle is 262. What is the measure of the third exterior angle?
43. Find . The diagram is not to scale.
44. What is the measure of the vertex angle of an isosceles triangle if one of its base angles measures 46°?
45. Use the information in the figure. Find
46. Find the value of x. The diagram is not to scale.
47. Find the value of x. The diagram is not to scale.
48. Find the value of x.
49. List the sides in order from shortest to longest. The diagram is not to scale.
50. ABCD is a parallelogram. If then The diagram is not to scale.
51. LMNO is a parallelogram. If NM = x + 14 and OL = 2x + 9 find the value of x and then find NM and OL.
52. For the parallelogram, if and find The diagram is not to scale.
53. ABCD is a parallelogram. If then The diagram is not to scale.
Geometry 1st Semester Review
Answer Section
MULTIPLE CHOICE
1. A
2. B
3. D
4. C
5. D
6. B
7. B
8. B
9. C
10. A
11. B
12. D
13. A
14. A
15. B
16. A
17. A
SHORT ANSWER
18. , ,
19. plane ACGE
20. 12
21. x = 7, EF = 8, FG = 11
22. x = 8, ST = 32
23. D
24. 55
25. 35
26. 5.4
27. (4, 2)
28. 12 units
29. = 49, = 41
30.
31. –15
32. 115
33. 138
34. –3
35. 63
36. 67
37.
38. 49
39. 15
40. 900
41. x = 107, y = 72
42. 98
43. 73
44. 88°
45. 37°
46.
47. 60
48. 5
49.
50. 111
51. x = 5, NM = 19, OL = 19
52. 163
53. 95
