Question

date:
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. e,f
2. give another name for line p. line a,e,b
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:

1. how many planes appear in the figure?
2. name four coplanar points.
3. name a point non - coplanar to plane z.
4. name the intersection of plane jps and plane z.

Explanation:

Step1: Recall collinear - points on same line

For question 1 in Part II, points on the same line as D are E and F as given.

Step2: Recall line naming

For question 2 in Part II, line p can be named using any two points on it like line AEB.

Step3: Observe intersection of line and plane

For question 3 in Part II, find where line r meets plane K. From the diagram, the intersection is point X.

Step4: Identify non - coplanar point

For question 4 in Part II, a point not on plane K. Point Y is non - coplanar to plane K.

Step5: Count planes in figure

For question 5 in Part II, count the planes in the second figure. There are 5 planes (the base plane Z and 4 side - like planes of the prism).

Step6: Name coplanar points

For question 6 in Part II, four coplanar points in the second figure could be J, K, L, M as they lie on the base plane of the prism.

Step7: Find non - coplanar point for plane Z

For question 7 in Part II, a point not on plane Z. Point S is non - coplanar to plane Z.

Step8: Determine intersection of two planes

For question 8 in Part II, find where plane JPS and plane Z meet. The intersection is line JK.

Answer:

1. E, F
2. Line AEB
3. X
4. Y
5. 5
6. J, K, L, M
7. S
8. Line JK