Question

unit 2 study guide: points, lines, segments, & angles name: identifying parts part i: matching vocabulary 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. f. a line, ray, or segment that divides an angle or segment into two equal parts. g. two angles with measures that have a sum of 180°. h. a location with no size or shape. i. two lines that intersect at a 90° angle. j. points that lie on the same plane. k. congruent angles that are across from each other on intersecting lines. l. a line that extends indefinitely in one direction. m. two angles with measures that have a sum of 90°. n. points that lie on the same line. o. the intersection of two rays at a common endpoint. part ii: short answer use the diagram to the right for questions 1 - 4: 1. name two points collinear to point d. 2. give another name for line p. 3. name the intersection of line r and plane k. 4. name a point non - coplanar to plane k. use the diagram to the right for questions 5 - 8: 5. how many planes appear in the figure? 6. name four coplanar points. 7. name a point non - coplanar to plane z. 8. name the intersection of plane jps and plane z. use the diagram to the right for questions 9 - 12: 9. name two planes. 10. provide 2 lines that are skew to line qp. 11. assuming there is a right angle at each vertex s, what two lines are perpendicular? 12. name two lines parallel to line xw.

Explanation:

1. A point is a location with no size or shape (H). A line is made up of points with no thickness or width and extends indefinitely in both directions (C). A plane is a flat surface made up of points that extends indefinitely in all directions (A). Collinear points lie on the same line (N). Coplanar points lie on the same plane (J). A line - segment is a measurable part of a line consisting of two endpoints (E). A ray is a line that extends indefinitely in one direction (L). An angle is the intersection of two rays at a common endpoint (O). Adjacent angles share a common vertex and side (B). Vertical angles are congruent angles that are across from each other on intersecting lines (K). Complementary angles have a sum of 90° (M). Supplementary angles have a sum of 180° (G). A linear - pair are adjacent angles that are supplementary (D). Perpendicular lines intersect at a 90° angle (I). A bisector is a line, ray, or segment that divides an angle or segment into two equal parts (F).
2. For the short - answer questions, we use the definitions and properties of points, lines, planes, and their relationships. For example, collinear points are on the same line, the intersection of a line and a plane is a point, and non - coplanar points are not on a given plane.

Answer:

Part I:

1. H
2. C
3. A
4. N
5. J
6. E
7. L
8. O
9. B
10. K
11. M
12. G
13. D
14. I
15. F

Part II:

1. Answers may vary depending on the diagram. If there are points on the same line as D in the diagram, those are the collinear points. For example, if points A and E are on the same line as D, then A and E.
2. Another name for line p could be line AD (assuming A and D are on line p in the diagram).
3. The intersection of line r and plane K is the point where line r touches plane K. If it's point F in the diagram, then F.
4. If point W is outside plane K in the diagram, then W.
5. Count the flat surfaces in the figure. If there are 3 planes visible, then 3.
6. For example, if points P, Q, M, L are on the same plane in the diagram, then P, Q, M, L.
7. If point S is not on plane Z in the diagram, then S.
8. The intersection of plane JPS and plane Z is the line where the two planes meet. If it's line JK in the diagram, then JK.
9. Name two flat surfaces in the diagram. For example, plane QXR and plane WJR.
10. Skew lines are non - parallel and non - intersecting. If lines RZ and WX are non - parallel and non - intersecting with line QP in the diagram, then RZ and WX.
11. If there are right angles at each vertex S, lines that form right angles are perpendicular. For example, if lines QP and PS form a right angle at P, then QP and PS.
12. Lines parallel to line XW are lines that have the same direction and do not intersect XW. If lines YZ and QR are parallel to XW in the diagram, then YZ and QR.