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Name: _______________________________
Foundations Exam: Review Sheet
Date:______Period:______
Ms. Anderle
Foundations Exam:
Review Sheet
Plane Geometry: Multiple Choice Questions
1. Line j and k intersect at point P. Line m is drawn so that it is perpendicular to lines j
and k at point P. Which statement is correct?
(1) Lines j and k are in perpendicular planes.
(2) Line m is in the same plane as lines j and k.
(3) Line m is parallel to the plane containing lines j and k.
(4) Line m is perpendicular to the plane containing lines j and k.
2. Through a given point, P on a plane, how many lines can be drawn perpendicular to
that plane?
(1) 1
(2) 2
(3) more than 2
(4) none
3. In plane P, lines m and n intersect at point A. In line k is perpendicular to line m and
line n at point A, then line k is
(1) contained in plane P
(3) skew to plane P
(2) perpendicular to plane P
(4) parallel to plane P
4. In the diagram below, line k is perpendicular to plane P at point T.
Which statement is true?
(1) Any point in plane P also will be on line k.
(2) Only one line in plane P will intersect line k.
(3) All planes that intersect plane P will pass through T.
(4) Any plane containing line k will be perpendicular to plane P.
Free Response Questions: Answer each question below. Show all work.
1. Two angles are supplementary. One angle is 30˚ more than another angle. Find
both angles.
2. Lines AB and CD intersect at E. If m<AEC = 6x – 27 and m<BEC = 8x + 11, find
the measure of <BEC.
3. <J and <A are vertical angles. If the m<J = 3x+20 and the m<A = 5x-50, then what
is the value of <J?
4. In the diagram below, m<ABC = 165˚. Find the value of x and m<CBD.
5. In the diagram below, m<RPH = 112˚. Find the value of y and m<RPL.
6. In the diagram below m||n. Using the diagram, find the value of x.
7. In the diagram below m||n. Using the diagram, find the m<A.
8. Find the value of r in the diagram below.
9. In the diagram below ABC form a straight angle. Using the diagram, find the
m<DBC.
10. AB bisects <CAT. m<CAB = 2x – 2 and m<BAT = x + 6. Find m<CAT.
11. BD bisects right angle ABC. If the m<ABD is 6x – 3, then what is the value of x?
12. What is the definition of perpendicular lines?
13. Points F, G, and H lie on a line. The bisector of FH passes through G. What term
is used to describe G?
14. EF and ED are opposite rays. EK bisects <DEF. If m<KED is represented by
10y – 5, what is the value of y?
15. Can you measure a:
a. line segment? _________
b. line? _________
c. ray? _________
d. point? _________
16. What do collinear points mean? Draw a picture of 3 points that are collinear.
17. What is meant by exterior and interior points in an angle? Draw a picture where
point M is on the exterior of <ABC and points R and K are on the interior of the
angle.
18. The measures of two complementary angles are in the ratio 1:4. What is the
measure of the smaller angle?
19. The measures of two supplementary angles are in the ratio 2:8. What is the
measure of the larger angle?
20. Point K is the midpoint of like TJ. If the length of JK = 2x – 4 and the length of
TK = x + 6. what is the value of x? What is the length of segment TJ?