L2, Geometry Midterm Review - Region 18
Geometry Midterm Review
2015 – 2016
Mr. Zubek
Go to
() and select state and book. Then go to e-workbook and go to selected sections for review. There are 15 examples for each section. It’s interactive and will also give you the correct answers.
Chapter 1: Essentials of Geometry
Sections 1.1 – 1.5
1.1 Points, Lines and Planes
1.2 Use segments and Congruence
1.3 Midpoint and Distance Formulas
1.4 Measure and Classify Angles
1.5 Angle Pair Relationships
Chapter 2: Reasoning and Proof
Sections 2.1, 2.2, 2.5
2.1 Inductive Reasoning
2.2 Analyze Conditional Statements
2.5 Properties from Algebra
Chapter 3: Parallel and Perpendicular Lines
Sections 3.1 – 3.6
3.1 Identify pairs of lines and angles
3.2 Use parallel lines and transversals
3.3 Prove lines parallel
3.4 Find and use slopes of lines
3.5 Write and graph equations of lines
Chapter 5 (and others): Relationships with Triangles,
Sections 4.1, 4.1, 5.1, 5.3 – 5.5
4.1 Triangle Sum Properties
4.2 Congruent Triangles
4.7 Use Isosceles and Equilateral Triangles
5.1 Mid-Segment Theorem
5.3 Perpendicular Bisectors and Angle bisectors
5.4 Medians and Altitudes
5.5 Inequalities in a Triangle
*Mark down any questions that you are having difficulty with and we will go over them in class*
Study tips:
1) Complete the review packet.
2) Complete review problems online using the link on the front of this sheet.
3) Review and study vocab sheets
4) Look over prior test and quizzes.
5) You are allowed a 3x5 note card
1) ****Student Tutoring Lab in the library****
Tuesday 1/12 5-7
Wednesday 1/13 5-7
Thursday 1/14 12:30-2:30
Choose the best answer for each question.
1. Find the length of the segment with endpoints L(-1, -3) and M(-6, 9).
A. 13 B. 17 C. 5 D. 12
2. Points A, B and D
A. determine a plane B. are collinear
C. are contained in only plane P D. are noncoplanar points
3. What is the intersection of planes P and R.
A points A, D and B B. [pic] C. [pic] D. [pic]
4. What is the measure of [pic] if R is between Q and T, QR = 14 and RT = 5?
A. 10 B. 11 C. 19 D. 9
5. Find the coordinates of the midpoint of the segment with endpoints D(6, 6) and E(-2, 2).
A. (3, 4) B. (2, 4) C. (4, 8) D. (1, -1)
6. What are the sides of [pic]?
A. [pic] B. [pic]
C. [pic] D. [pic]
7. [pic] and [pic] are
A. adjacent B. vertical C. supplementary D. complementary
8. [pic] and [pic] are
A. adjacent B. vertical C. supplementary D. complementary
9. [pic] and [pic] are
A. adjacent B. vertical C. complementary D. linear pair
10. [pic] and [pic] are
A. adjacent B. vertical C. linear pair D. complementary
11. Find [pic].
A. 25 B. 155
C. 175 D. 5
12. If [pic]and [pic], find [pic]
A. 150 B. 130
C. 70 D. 80
13. Find [pic]if [pic] bisects [pic], [pic] and [pic]
A. 48 B. 18
C. 9 D. 24
14. Choose the converse of “If [pic], then [pic] = [pic].
A. If [pic] = [pic], then [pic]
B. If [pic], then [pic]
C. If [pic] = [pic], then [pic] = [pic].
D. None of these
15. Identify the if-then form of the following: All cars have four wheels.
a. If a vehicle has four wheels, then it is a car.
b. If a vehicle is a car, then it has four wheels.
c. If a vehicle is not a car, then it does not have four wheels.
d. None of these
16. The transitive property of equality states “If a = b and b = c, then _____ “.
A. b = a B. a = c C. c = b D. b = b
20. [pic] and [pic] form a linear pair and [pic] Find [pic]
A. 62 B. 28 C. 118 D. 90
21. Given [pic] and [pic]= 72, find [pic]. ( for 21-23, the rectangle represent parallel lines)
A. 108 B. 72
C. 18 D. 112
22. Given [pic], [pic]= 9x +5 and [pic]= x + 37, find the value of x.
A. 32 B. 4
C. 41 D. 39
23. Given [pic] and [pic] = 3x + 28, find the value of x so that [pic].
A. 26 B. 13
C. 67 D. 75
24. A right triangle must be
A. isosceles B. acute C. scalene D. either isosceles or scalene
25. Find the measures of the legs of an equilateral triangle PQR if PQ = 5x – 7 and PR = 2x + 5.
A. 39 B. 13 C. 12 D. 4
26. In triangle ABC, what is the angle opposite [pic]?
A. [pic] B. [pic] C. [pic] D. [pic]
27. In triangle DEF, if [pic] and [pic] is the hypotenuse, then triangle DEF is
A. acute and scalene B. right and scalene
C. right and isosceles D. obtuse and isosceles
28. The measures of two angles of a triangle are 38 and 47. What is the measure of the third angle?
A. 85 B. 95 C. 133 D. 142
29. If [pic], then [pic] is congruent to
A. [pic] B. [pic] C. [pic] D. [pic]
30. Identify the median of triangle ABC.
A. [pic] B. [pic]
C. [pic] D. [pic]
31. Identify the altitude of triangle ABC.
A. [pic] B [pic]
C. [pic] D. [pic]
32. In triangle ABC, if [pic] and [pic] is an angle bisector, find [pic]
A. 90 B. 51
C. 39 D. 12
33. What is the longest side of the figure QUAD.
A. [pic] B [pic]
C. [pic] D. [pic]
34. In triangle EFG, [pic]= 6x – 8, [pic]7x + 3, and [pic] = 3x – 7. Choose the list that shows the sides correctly ordered from shortest to longest.
A. [pic] B. [pic]
C. [pic] D. [pic]
35. Determine which set of numbers can be the measures of the sides of a triangle.
A. 13, 10, 16 B. 1, 2, 3 C. 5.2, 11, 4.9 D. 208, 9, 219
36. Two sides of a triangle have lengths 15 cm and 19 cm. Which measurement can be the length of the third side?
A. 6 cm B. 4 cm C. 40 cm D. 36 cm
37. If M is the midpoint of [pic], [pic], JL = 10x + 2, and LK = 6x + 14, which is a possible value of x?
a. 1
b. 2
c. 3
d. 4
38. Find the value of x.
[pic]
39. Find the measure of ∠ 1.
[pic]
40. Find the slope of the line that passes through A(5, 8) and B(7, 11).
41. Find the value of x when a║b.
[pic]
42. Solve for x in the diagram.
[pic]
43. In the diagram, WX ≅ YZ. Find the length of XZ.
[pic]
44. Find the midpoint of a segment with endpoints A(-8, 5) and B(-2, 7).
45. AB bisects∠CAD. Find the value of x.
[pic]
46. MQ= 30, MN = 5, MN=NO, and OP=PQ.
Find the length of OQ .
[pic]
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