Download 3 Geom Rev 3

3 Geom Review 3
Multiple Choice
Identify the choice that best completes the statement or answers the question.
1. Complete the statement. If a transversal intersects two parallel lines, then ____.
a. corresponding angles are supplementary
b. same-side interior angles are complementary
c. alternate interior angles are congruent
d. none of these
2. Which is a correct two-column proof?
Given: ∠W and ∠R are supplementary.
Prove: B Ä Y
a.
Write a two column proof.
b. Keep Writing!
3. The Polygon Angle-Sum Theorem states: The sum of the measures of the angles of an n-gon is ____.
n−2
180
a.
b. (n − 1)180
c.
d. (n − 2)180
180
n−1
4. Complete this statement. A polygon whose sides all have the same length is said to be ____.
a. regular
b. equilateral
c. equiangular
d. convex
5. Write an equation in point-slope form of the line through point J(–5, 6) with slope –4.
a. y − 6 = −4 (x − 5)
c. y + 6 = −4 (x − 5)
b. y − 6 = 4 (x + 5)
d. y − 6 = −4 (x + 5)
6. Write an equation in point-slope form, y – y1 = m(x – x1), of the line through points (4, –4) and (1, 2) Use
(4, –4) as the point (x1, y1).
a. (y – 4) = –2(x + 4)
c. (y + 4) = 2(x – 4)
b. (y – 4) = 2(x + 4)
d. (y + 4) = –2(x – 4)
7. Write an equation for the horizontal line that contains point E(–3, –1).
a. x = –1
b. x = –3
c. y = –1
d. y = –3
8. Write an equation in slope-intercept form of the line through point P(–10, 1) with slope –5.
a. y = –5x – 49
c. y – 10 = –5(x + 1)
b. y – 1 = –5(x + 10)
d. y = –5x + 1
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9. Write an equation in slope-intercept form of the line through points S(–10, –3) and T(–1, 1).
4
13
4
13
a. y = − x +
c. y = − x –
9
9
9
9
4
13
4
13
b. y = x –
d. y = x +
9
9
9
9
10. Which two lines are parallel?
I.
5y = −3x − 5
II.
5y = −1 − 3x
III. 3y − 2x = −1
a. I and II
c. II and III
b. I and III
d. No two of the lines are parallel.
11. Write an equation for the line parallel to y = –7x + 15 that contains P(9, –6).
a. x + 6 = 7(y – 9)
c. y – 6 = –7(x – 9)
b. y + 6 = 7(x – 9)
d. y + 6 = –7(x – 9)
12. Is the line through points P(0, –9) and Q(2, –8) perpendicular to the line through points R(1, 4) and S(3,
3)? Explain.
a. Yes; their slopes are equal.
b. Yes; their slopes have product –1
c. No, their slopes are not reciprocals.
d. Yes; their slopes have product –1
13. Give the slope-intercept form of the equation of the line that is perpendicular to
7x + 3y = 18 and contains P(6, 8).
3
3
38
a. y – 6 = (x – 8)
c. y = x +
7
7
7
3
18
3
b. y = x +
d. y – 8 = (x – 6)
7
7
7
Short Answer
14. Find the value of the variable if m Ä l, m∠1 = 2x + 44 and m∠5 = 5x + 38. The diagram is not to scale.
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15. Find the values of x and y. The diagram is not to scale.
16. Find m∠Q. The diagram is not to scale.
17. m∠1 = 6x and m∠3 = 120. Find the value of x for p to be parallel to q. The diagram is not to scale.
18. Find the value of x for which l is parallel to m. The diagram is not to scale.
19. Find the values of x, y, and z. The diagram is not to scale.
20. Classify ΔABC by its angles, when m∠A = 32, m∠B = 85, and m∠C = 63.
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21. The triangular playground has angles whose measures are in the ratio 8 : 3 : 9. What is the measure of the
smallest angle?
22. Find the value of x. The diagram is not to scale.
23. Find the value of the variable. The diagram is not to scale.
24. Find the value of x. The diagram is not to scale.
Given: ∠SRT ≅ ∠STR, m∠SRT = 20, m∠STU = 4x
25. Classify the polygon by its sides.
26. How many sides does a regular polygon have if each exterior angle measures 20?
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27. Find the missing angle measures. The diagram is not to scale.
28. The jewelry box has the shape of a regular hexagon. It is packaged in a rectangular box as shown here.
The box uses two pairs of congruent right triangles made of foam to fill its four corners. Find the measure
of the foam angle marked.
x
29. The sum of the measures of two exterior angles of a triangle is 255. What is the measure of the third
exterior angle?
30. Find m∠A. The diagram is not to scale.
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