Question

test chapter 1 hour _ date _ part a: matching vocabulary. write the capital letter neatly. 1. point 2. line 3. plane 4. collinear 5. coplanar 6. line segment 7. ray 8. angle 9. adjacent angles 10. vertical angles 11. complementary 12. supplementary 13. linear pair 14. perpendicular 15. bisector a a flat surface made up of points that extends indefinitely in all directions. b two angles that share a common vertex and side c made up of points with no thickness or width; extends indefinitely in both directions d adjacent angles that are supplementary e a measurable part of a line consisting of two endpoints. g a line, ray, or segment that divides an angle or segment into two equal parts. h two angles with measures that have a sum of 180°. j a location with no size or shape. k two lines that intersect at a 90° angle. l points that lie on the same plane. m congruent angles that are across from each other on intersecting lines. r a line that extends indefinitely in one direction s two angles with measures that have a sum of 90° t points that lie on the same line. v the intersection of two rays at a common endpoint. 16. ∠1 is complementary to ∠2. if m∠1 = 40, find the m∠2. 17. ∠1 is supplementary to ∠3. if m∠1 = 40, find the m∠3. 18. ∠1 is a vertical angle to ∠4. if m∠1 = 40, find the m∠4. 19. ∠1 is a linear pair to ∠5. if m∠1 = 40, find the m∠5. #20 - 23. match the symbol with what it means. circle the correct letter. a. line b. line segment c. ray d. length from a to b 20. $overline{ab}$ 21. ab 22. $overleftrightarrow{ab}$ 23. $overrightarrow{ab}$ answers 16. m∠2 = 17. m∠3 = 18. m∠4 = 19. m∠5 = 20. a b c d 21. a b c d 22. a b c d 23. a b c d

Explanation:

Step1: Match vocabulary

1. Point - J (A location with no size or shape.)
2. Line - C (Made up of points with no thickness or width; Extends indefinitely in both directions)
3. Plane - A (A flat surface made up of points that extends indefinitely in all directions.)
4. Collinear - T (Points that lie on the same line.)
5. Coplanar - L (Points that lie on the same plane.)
6. Line Segment - E (A measurable part of a line consisting of two endpoints.)
7. Ray - R (A line that extends indefinitely in one direction)
8. Angle - V (The intersection of two rays at a common endpoint.)
9. Adjacent Angles - B (Two angles that share a common vertex and side)
10. Vertical Angles - M (Congruent angles that are across from each other on intersecting lines.)
11. Complementary - S (Two angles with measures that have a sum of 90°)
12. Supplementary - H (Two angles with measures that have a sum of 180°)
13. Linear Pair - D (Adjacent angles that are supplementary)
14. Perpendicular - K (Two lines that intersect at a 90° angle.)
15. Bisector - G (A line, ray, or segment that divides an angle or segment into two equal parts.)

Step2: Solve angle - measure problems

1. Since ∠1 is complementary to ∠2 and m∠1 = 40, and complementary angles sum to 90°, then m∠2=90 - 40 = 50.
2. Since ∠1 is supplementary to ∠3 and m∠1 = 40, and supplementary angles sum to 180°, then m∠3=180 - 40 = 140.
3. Since ∠1 is a vertical - angle to ∠4 and vertical angles are congruent, if m∠1 = 40, then m∠4 = 40.
4. Since ∠1 is a linear pair to ∠5 and linear - pair angles are supplementary, if m∠1 = 40, then m∠5=180 - 40 = 140.

Step3: Match symbols

1. $\overline{AB}$ represents a line segment, so the answer is B.
2. $AB$ (without a bar) usually represents the length from A to B, so the answer is D.
3. $\overleftrightarrow{AB}$ represents a line, so the answer is A.
4. $\overrightarrow{AB}$ represents a ray, so the answer is C.

Answer:

1. J
2. C
3. A
4. T
5. L
6. E
7. R
8. V
9. B
10. M
11. S
12. H
13. D
14. K
15. G
16. m∠2 = 50
17. m∠3 = 140
18. m∠4 = 40
19. m∠5 = 140
20. B
21. D
22. A
23. C