TEST NUMBER ______
Geometry Cumulative Exam Chapters 1 through 3 – Version A
1. Which statement is NOT true?a. / Parallel lines do not intersect. / c. / Two planes that do not intersect are always skew.
b. / A segment has exactly two endpoints. / d. / A ray has exactly one endpoint.
/ 8. The measures of two supplementary angles are
(3x – 10)° and (6x + 100)°. What is the measure of the smaller angle?
a. / 0° / c. / 20°
b. / 10° / d. / 26.67°
2. The midpoint of segment XY is Z. If XY = 3n and XZ = n + 15, what is YZ?
a. / 30 / c. / 45
b. / 36 / d. / 90
/ 9. To the nearest whole number, what is the circumference of a circle whose radius is 12.5? Use 3.14 for π.
a. / 20 / c. / 79
b. / 39 / d. / 491
3. What is RS?
a. / 5 / c. / 56
b. / 32 / d. / 70
/ 10. The endpoints of segment VW are V(4, -3) and W(0,15). What are the coordinates of the midpoint?
a. / (6, 2) / c. / (0.5, 7.5)
b. / (2, -9) / d. / (2, 6)
4. What is the complement of a 32° angle?
a. / 32° / c. / 68°
b. / 58° / d. / 148°
/ 11. What is the distance from (8, 1) to (3, -11) on the coordinate plane?
a. / units / c. / 24 units
b. / 13 units / d. / 34 units
5. What is the area of a rectangle whose sides measure 2x and (x + 5)?
a. / 3x + 5 / c. / 6x + 10
b. / 2x + 10 / d. / 2x2 + 10x
/ 12. Find the next item in the pattern.
2, 8, 18, 32, 50, 72, …
a. / 74 / c. / 94
b. / 76 / d. / 98
6. What is m1?
a. / 9° / c. / 108°
b. / 72° / d. / 156°
/ 13. What is the counterexample that disproves the conjecture “If .”
a. / / c. /
b. / / d. /
7. Which conditional statement is true?
a. / If it is raining outside, then the ground is wet. / c. / If a number is divisible by 3, then the number is odd.
b. / If a person lives in the United States, then the person lives in Chicago. / d. / If today is Saturday, then yesterday was Sunday.
/ 14. Which property justifies the statement “If 2y = n and n = -3, then 2y = -3”?
a. / Transitive Prop = / c. / Symmetric Prop =
b. / Reflexive Prop = / d. / Multiplication Prop =
15. What is the inverse of the statement “If the key fits, then the lock opens”?
a. / If the lock opens, then the key fits. / c. / If the lock does not open, then the key does not fit.
b. / If the key does not fit, then the lock does not open. / d. / If the key fits, then the lock does not open.
/ 19. What is missing from the proof?
Given: m1 = m2, m1 = 90°
Prove: 2 is a right angle.
Statements / Reasons
1. m1 = m2,
m1 = 90° / 1. Given
2. 90° = m2 / 2. Substitution
3. 2 is a right angle / 3.
a. / Def of congruence / c. / Def of right angle
b. / Def of perpendicular / d. / 1 is a right angle
16. Given: If Maria passes geometry, then she will graduate. Maria passes geometry.
What can you conclude based on the given statement?
a. / Maria will take geometry. / c. / If Maria does not take geometry, then she will graduate.
b. / If Maria does not graduate, then she is not taking geometry. / d. / Maria will graduate.
/ 20. Which pair of angles are corresponding angles?
a. / 1 and 2 / c. / 1 and 4
b. / 1 and 3 / d. / 1 and 6
17. Given: If all four angles of a parallelogram are right angles, then the parallelogram is a rectangle. If a parallelogram has at least one right angle, then all four angles are right.
Which conjecture is valid based on the given statement?
a. / If a rectangle has four right angles, then the rectangle is a parallelogram. / c. / If all four angles of a parallelogram are right angles, then at least one angle is a right angle.
b. / If a parallelogram has at least one right angle, then the parallelogram is a rectangle. / d. / If a parallelogram is a rectangle, then the parallelogram has at least one right angle.
/ 21. Which completes the statement “Angles 6 and 7 are an example of ______angles”?
a. / Same-side interior / c. / Same-side exterior
b. / Alternate interior / d. / Corresponding
18. If 6k – 9 = 20 and k = r, why is 6r – 9 = 20?
a. / Addition Prop = / c. / Symmetric Prop =
b. / Multiplication Prop = / d. / Substitution Prop =
/ 22. What is the slope of the line whose is equation is
2x – 6y = 0
a. / / c. /
b. / / d. /
23. If lines p and q are parallel, what is the value of x?
a. / 22.5 / c. / 45
b. / 30 / d. / 90
/ 26. If j ll k, which could be one of the angle measures?
a. / 25° / c. / 60°
b. / 37° / d. / 84°
24. If x = 7, which lines must be parallel?
a. / r ll s only / c. / s ll t only
b. / r ll t only / d. / r ll s ll t
/ 27. What is the slope of a line parallel to the graph of
y + 1 = –8(x – 2)?
a. / / c. /
b. / / d. /
25. Which angle must be congruent to 8 to prove that u ll v?
a. / 1 / c. / 3
b. / 2 / d. / 4
/ 28. Which is an equation of the line in the graph?
a. / / c. /
b. / / d. /
29.Complete the two-column proof.
Given: are supplementary, and are supplementary.
Prove:
Statements / Reasons
1. are supplementary, and are supplementary. / 1. Given
2.
/ 2.
3. / 3. Subst. Prop.of =
4. / 4. Subtr. Prop of =
5. / 5.
a. / 2. Def. of Straight s
5. Reflexive Prop. / c. / 2. Angle Add. Post.
5. Def. of
b. / 2. Def. of Supp. s
5. Def. of / d. / 2. Def. of Supp. s
5. Reflexive Prop.
/ 30. In the figure, if ABDCBD. What is the value of x?
a. / 6 / c. / 30
b. / 24 / d. / 48