Download Geometry Cumulative Test Review Sometimes, Always, Never

Geometry
Cumulative Test Review
Sometimes, Always, Never
1. Linear pairs are adjacent.
2. An angle has a complement and a supplement.
3. Regular pentagons are congruent.
4.
If ∆𝐿𝑀𝑁 ≅ ∆𝑃𝑄𝑅, then ∆𝐿𝑁𝑀 ≅ ∆𝑅𝑃𝑄.
5. Two triangles with two congruent corresponding sides and congruent corresponding nonincluded angles are congruent.
6. You can solve a right triangle if you have the measures of two acute angles.
Open-Ended
7. Using the diagram, determine if the statement proves that the lines are parallel.
a. 2  3
b. 1  2
1
3
c. 3  4
d. 3 supplementary 2
e. 1  4
8. For the statement “All linear pairs are supplementary”…
a. Write in if-then form.
b. Write the converse of the statement.
c. Is the converse true? If not, give a counterexample.
2
4
TRANSFORMATIONS
9. Find the image after performing each operation on the point (1, −2):
a. Rotate 90° clockwise around the origin
b. Reflect over the x-axis
10. Describe the translation that moves a point from (3, −5) to (−1, 0).
11. Describe in words how to create each transformation using only reflections:
a. Rotation
b. Translation
TRIANGLES
12. Classify the triangle with side lengths of 9, 10, 15 by its sides and angles.
13. Give an example of 3 side lengths that
a. DO form a triangle
b. DO NOT form a triangle
14. The lengths 3, 4, 5 create a right triangle. If the hypotenuse is changed to having a length
of 6, is the new triangle acute or obtuse?
5
15. If sin 𝐴 = 13, find cos 𝐴 and tan 𝐴.
16. You can solve a right triangle given what two possible combinations of information?
17. You can solve any triangle given the three side lengths (SSS) using the Law of ________.
18. Sketch and label each special segment in each triangle.
a. Altitude
d. Midsegment
b. Angle Bisector
e. Perpendicular Bisector
c. Median
19. Identify the additional congruence (and reason) needed to make the triangles congruent
based on the indicated pattern.
A
a. SSS
b. SAS
B
D
20. Find the values of x and y.
a.
b.
21. A ramp to a loading dock must have an angle of elevation of less than or equal to 4.3°.
Determine if the following ramps would be acceptable under this rule.
Ramp #1: Ramp length of 100 feet, height of 5 feet
Ramp #2: Horizontal length of 75 feet, height of 7 feet
Ramp #3: Ramp length of 95 feet, horizontal length of 94 feet
C
22. Given: AB  AC and AM bisects BAC
Prove: BM  MC
23. Given: AB  AD and DE  AD ;
C is the midpoint of BE
Prove: B  E
CIRCLES
24. What are the area and perimeter of a half circle with a diameter of 12 inches?
25. Given that (−3, 2) and (9, −4) are the endpoints of the diameter of a circle, write the
equation of the circle in standard form.
26. Find the value of x.
a.
b.
c.
SOLIDS
27. Identify the solid that could be folded from each net.
a.
b.
c.
28. A right square prism has a height of 5 meters and a base side length of 2 meters. If each
side length of the base is doubled (but the height stays the same), how does the volume
change?
29. The base of a right pyramid is a square and its height is 12 feet. If the volume of the
pyramid is 400 cubic feet, how long is one side of the base?
PROBABILITY
30. A jar contains 4 red, 7 blue, and 13 white marbles. Find the probability of selecting…
a. One red marble
b. One blue marble and then one white marble with replacement
c. One blue marble and then one white marble without replacement