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Geometry 1
REVIEW
Q
R
S
1.
If RS = 24 and QS = 43, find QR.
2.
R, S, and T are collinear.
S is between R and T. RS = 6m + 8, ST = 7 + m,and RT = 85. Use the Segment Addition
Postulate to determine the length of RS.
3.
Bisect CAD with ray AB. CAB measures 46 °.
4.
Solve for x: 1 = 3x + 2 and 2 = 5x + 40
5.
In the figure, 4 and 5 and are what type of angles?
6.
In the figure, 1 and 5 and are what type of angles?
7.
In the figure, which angles are alternate exterior angles?
8.
Solve 3x – 16 = 8, giving a reason for each step taken.
9.
“If I get a chance, then I will succeed.” What is the underlined portion of the statement?
10. Find the slope of the line passing
Find the measure of CAD .
through the points A(-3, 3) and B(–1, - 8).
11. What are the three undefined terms of geometry?
12. The intersection of two planes is a____________
13. The intersection of two lines is a ____________.
14. What is an obtuse triangle? an acute triangle? a right triangle?
x
15. Find the value of x.
16. Which congruency theorem or postulate to prove the two triangles congruent?
17. Find the area of a triangle with height 20 cm and a base measuring 10 cm.
18. Which figures below are NOT a polygon?
19. Use the Pythagorean Theorem to find the missing side length if a = 14 and c = 20
20. Find the length from star to star.
21. Write a conditional statement from the statement. A spider is an insect.
22. How does one tell whether the polygon is regular or irregular? How do you tell whether it is concave or convex?
23. How many sides does a each have? quadrilateral, pentagon, hexagon, decagon, dodecagon, nanogon, octagon, heptagon
24. Give an example of the distributive property .
25. Write the contrapositive of the statement, “If you are at Vista Grande High School,
you are in Casa Grande.”
26. Tell whether the slope of the line on the graph to the right is positive or negative. Then,
determine the slope.
27. Find the midpoint of the segment connecting the points
(7,–2) and (–3,–1).
28. If angle ROS is
29. m KIJ = 52° and mHIJ = 48 . Find  KIH and classify the angle.
30. Find the distance between the points (3, 5) and (-2, 1).
31. Refer to the following statement: If today is Friday, then yesterday was Thursday. If yesterday was not Thursday, then today is
not Friday… is ______ of the original statement:
32. Find x so that l // m.
33. Which is a pair of parallel planes in the figure to the right?
34. What kind of triangle has no congruent sides?
35. Find the measure of the interior angles of a triangle with angles (3x + 5)°, (2x -3)°, and (5x + 8)°,
36. If a ray bisects an angle measuring 82°, what is the measure of each of its interior angles?
I
37. Given IJL = 37° and IJK = 85°, find mLJK.
L
38. Find the area of the rectangle with length of 8 and width 3.2.
39. If the vertex angle of an isosceles triangle measures 44°, what is the measure of each base angle?
40. If all four sides of a quadrilateral are congruent, the quadrilateral is a _______.
41. If all four angles of a quadrilateral are congruent, the quadrilateral is a _______.
42. Are all quadrilaterals are squares?
43. Are all parallelograms are quadrilaterals?
44. Are all rectangles are squares?
45. Are all quadrilaterals are parallelograms?
46. A triangle with two congruent sides is a ___ triangle.
47. A triangle with no congruent sides is a ___ triangle.
48. Opposite angles of a parallelogram are ___
49. A triangle with three congruent sides is a ___ triangle.
50. A quadrilateral with one pair of parallel sides is a ___.
51. Write the inverse of the statement, “If you are late, then you are tardy.”
52. Determine the perimeter of the given figure with side lengths 15, 10, 8, 7, 16, and 4.
J
K