Geometry Fall Semester Review
Geometry Fall 2013 Semester Review
Chapter 1
Use the figure for #1-4. Name each of the following.
[pic]
1. two opposite rays
2. a point on BC
3. the intersection of plane N and plane T
4. a plane containing E, D, and B
5. Draw ray with end point P that passes through Q
6. Two planes intersect at a ________.
7. Two lines intersect at a _______.
8. A line and a plane intersect at a _________.
9. M is between N and O, MO = 15 and MN = 7.6. Find NO.
10. S is the midpoint of TV, TS = 4x -7 and SV = 5x - 15. Find TS, SV, and TV.
11. LH bisects GK at M. GM = 2x +6 and GK = 24. Find x.
[pic]
12. K is in the interior of (LMN, m(LMK = 52( and m(KMN = 12(. Find m(LMN.
13. BD bisects (ABC, m(ABD = (1/2y + 10)( and m(DBC = (y + 4)(. Find m(ABC.
14. m(WYZ = (2x - 5)( and m(XYW = (3x + 10)(. Find the value of x.
[pic]
15. _______________ angles are two angles in the same plane with a common vertex and a common side, but no common interior points. After filling in the blank, draw an example.
16. A ____________ ________ of angles is a pair of adjacent angles whose noncommon sides are opposite rays. After filling in the blank, draw an example.
17. Complementary angles are two angles whose measures have a sum of __________.
18. Supplementary angles are two angles whose measures have a sum of __________.
19. m(A = 64.1( and m(B = (4x – 30)(.
a. What is the supplement of (A?
b. What is the compliment of (B?
20. m(XYZ = 2x( and m(PQR = (8x – 20)(. If (XYZ and (PQR are supplementary, find the measure of each angle.
21. What is the circumference and area of a circle with a radius of 2 cm?
22. What is the circumference and area of a circle with a diameter of 12 ft?
23. Find the area and perimeter of each figure.
[pic]
24. Find the coordinates of the midpoint of MN with endpoints M (-2, 6) and N (8, 0).
25. K is the midpoint of HL. H has coordinates of (1, -7) and K has coordinates (9, 3). Find the coordinates of L.
26. Find the distance, to the nearest tenth, between S (6, 5) and T (-3, -4).
27. Find the lengths of AB and CD and determine whether they are congruent.
[pic]
28. A figure has vertices at X (-1, 1), Y (1, 4) and Z (2, 2). After a transformation, the image of the figure has vertices at X’ (-3, 2), Y’ (-1, 5) and Z’ (0, 3). Draw the preimage and the image. Identify the transformation.
[pic]
29. What transformation is suggested by the wings of an airplane?
30. Given points P (-2, -1) and Q (-1, 3), draw PQ and its reflection across the y-axis.
[pic]
31. Find the coordinates of the image of F (2, 7) after the translation
(x, y) ( (x + 5, y – 6).
Chapter 2
32. Find the next item in the pattern.
a. 0.7, 0.07, 0.007, …
b. [pic] [pic] [pic] …
33. Determine if each conjecture is true. If false, give a counterexample.
a. The quotient of two negative numbers is a positive number.
b. Every prime number is odd.
c. The square of an odd integer is even.
34. Identify the hypothesis and conclusion. If a triangle has one right angle, then it is a right triangle.
35. Write the converse, inverse, and contrapositive of the conditional statement “If Maria’s birthday is February 29, then she was born in a leap year.”
Chapter 3
36. Identify each of the following.
[pic]
a. One pair of parallel segments
b. One pair of skew segments
c. One pair of perpendicular segments
d. One pair of parallel planes
37. Identify each of the following.
[pic]
a. One pair of alternate interior angles
b. One pair of corresponding angles
c. One pair of alternate exterior angles
d. One pair of same-side interior angles
e. One pair of parallel lines
f. The transversal
38. What is the shortest segment? Write and solve an inequality for x.
[pic]
39. State how the angles are related then find the unknown angle measures.
[pic]
a. m(1 = 120(, m(2 = 60x(
b. m(2 = (75x – 30)(, m(3 = (30x + 60)(
c. m(3 = (50x + 20)(, m(4 = (100x – 80)(
d. m(3 = (45x + 30)(, m(5 = (25x + 10)(
40. Solve to find x and y in the diagram.
[pic]
41. Use the slope formula to determine the slope of the line that passes through M (3, 7) and N (-3, 1).
42. Graph each pair of lines. Use slopes to determine whether they are parallel, perpendicular, or neither. AB and XY for A (-2, 5), B (-3, 1), X (0, -2), and Y (1, 2).
[pic]
43. What is the slope of the line y = 3x +2?
44. Write an equation of a line that is parallel to y = 3x + 2.
45. Write an equation of a line that is perpendicular to y = 3x + 2.
46. Write an equation of a line that coincides with y = 3x + 2.
47. Write the equation of a line in slope-intercept form that passes through (-1, 3) and (3, -5). Then, graph the line.
[pic]
48. Write the equation of a line in y=mx + b form that passes through (5, -1) with slope 2/5. Then, graph the line.
[pic]
49. Solve each equation for y. Are the lines parallel, intersecting or coinciding?
a. 2y = 4x + 12
b. 4x – 2y = 8
Chapter 4A
50. Classify each triangle by its angles AND side lengths.
[pic]
a. (MNQ
b. (NQP
c. (MNP
51. Find the side lengths of the triangle.
[pic]
52. The measure of one of the acute angles in a right triangle is 23(. What is the measure of the other acute angle?
53. Find m(ABD
[pic]
54. Find m(N and m(P
[pic]
55. (ABC ( (JKL
a. AB = 2x + 12 and JK = 4x – 50. Find x and AB.
b. AC ( _____
c. (C ( _____
d. (K ( _____
................
................
In order to avoid copyright disputes, this page is only a partial summary.
To fulfill the demand for quickly locating and searching documents.
It is intelligent file search solution for home and business.
Related searches
- sat geometry review pdf
- oklahoma state fall semester 2019
- fall college semester dates
- ohio university fall semester 2019
- ohio university fall semester 2020
- liberty university fall semester dates
- fafsa deadline fall semester 2020
- harvard fall semester 2020
- biology semester 1 review answers
- csun fall semester 2020
- okstate fall semester 2020
- fall semester dates