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Transcript
Name_____________________________________ Period_______ Date __________
GEOMETRY
UNIT 5 TEST Review
1. Draw isosceles triangle ABC. Label the vertex angle B and the base angles A and C.
Draw the perpendicular bisector of segment AC and label it segment BD. The length of
segment AD is (4x + 10) and the length of segment AC is (10x – 18). What is the length
of segment AD? Round your answer to the nearest tenth.
2. Sketch scalene triangle BIG. Draw and label all the altitudes. Sketch equilateral
triangle RAJ. Sketch the medians for all sides. What is the point of concurrency called?
3. Sketch an acute, obtuse, equiangular, and right triangle. Draw all angle bisectors for
each triangle.
4. Draw obtuse triangle BHS. Sketch the perpendicular bisectors of all three sides of
the triangle.
5. Define equidistant:
6. Right triangle FGH has midsegments of 20, 48 and 52 centimeters. What is the area of
FGH ?
F
20
52
48
H
G
7. In disc golf, a player tries to throw a disc into a metal basket target. Four disc golf
targets on a course are shown in the diagram. Which two targets are closest together?
1
2
60
47
4
69
3
Define the following terms
8. altitude of a triangle
9. median of a triangle
10. indirect proof
11. midsegment of a triangle
12. centroid of a triangle
13. The vertices of JLK are J (-18, 4), K(20,2) and
L(10,12). CD is the midsegment parallel to JK .
What is the length of CD ? Round to the nearest
tenth.
y
10
x
-10
-10
10
14. In QSR , QR  14 , RS  16 and SQ  10 . What is the perimeter of the midsegment
triangle of QSR ?
Q
10
14
R
S
16
15. Write the angles of DEF in order from largest to smallest.
D
16
5
5
F
4.2
E
16. Write the sides of TUV in order from largest to smallest.
V
105
U
52
_____________________________
23
T
Tell whether or not a triangle can have sides with the given lengths. If not, explain why.
17. 16, 16, 32
18. 22, 8, 28
19. State which two statements contradict each other.
A. PQR is an obtuse triangle
B. P is an acute angle
C. Q is an right angle
20. Compare the given measures using an inequality.
m M _____ m K
M
2
2
5.5
L
K
5.5
J
N
21. If the measure of angle LJK is 30, what is the measure of angle KLJ?
M
J
L
K