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Geom Unit 5 Review: Relationships within Triangles

Total questions: 33

Worksheet time: 34mins

Name
Class
Date
1.
The figure is an example of a(n) ...
a)
angle bisector
b)
perpendicular bisector
c)
median
d)
midsegment
2.
The figure is an example of a(n) ...
a)
altitude 
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
3.
Find the length of PO.
a)
32
b)
35
c)
26
d)
29
4.

Given: DG, EG, and FG are Perpendicular Bisedctors.

Given: AG = 10, find the length of BG.

a)

10

b)

20

c)

5

d)

30

5.

If AP and CT are Angle Bisectors and m∠CAP = 34° , find ∠CAB.

a)

17°

b)

34°

c)

68°

d)

90°

6.

QT, PT, and RT are Angle Bisectors. Find the length of TU

a)

15

b)

12

c)

26

d)

13

7.
HK and JK are angle bisectors of the triangle. Find the distance from K to side GJ.
a)
50
b)
16
c)
21
d)
not enough information
8.
1.  If m<LJK = 28°, what is m<MLK?
a)
56
b)
112
c)
62
d)
124
9.
1.  PQ  is the perpendicular bisector of MN. What is QN?
a)
7
b)
14
c)
10.5
d)
28
10.

Angle ABC measures 34o. What is the measure of angle CBD?

a)

17o

b)

34o

c)

68o

11.
a)

x = 8

b)

x = -10

c)

x = 5/2

d)

x = 10

12.
Use the Perp Bisector Theorem to find PQ
a)
10
b)
3
c)
-2
d)
5
13.

If CD is a perpendicular bisector of AB which segments must be the same length?

a)

AB and DC

b)

AD and BD

c)

AD and CD

d)

BD and CD

14.

Which segments ALSO must be the same length

a)

AC and BC

b)

AC and BD

c)

BC and AD

d)

AC and AB

15.

RX, TP, and SO are MEDIANS of triangle RST.

If XZ = 9, what is the length of ZR?

a)

18

b)

9

c)

27

d)

12

16.

VL, ME, and HR are MEDIANS of triangle VHM.

If TL=5, VL=?

a)

10

b)

15

c)

2.5

d)

5

17.
Identify AD as a median, altitude, neither, or both according to what can be proved.
a)
Median
b)
Altitude
c)
Neither
d)
Both
18.
Identify AD as a median, altitude, neither, or both according to what can be proved.
a)
Median
b)
Altitude
c)
Neither
d)
Both
19.

Order the sides of the triangle from shortest to longest.

a)

UV, UT, VT

b)

UV, VT, UT

c)

VT, UT, UV

d)

VT, UV, UT

20.

Given ΔBCD, and the m∠C = 53° and the m∠D = 36°, order the sides from shortest to longest. (draw the triangle to help)

a)

BC, DB, CD

b)

BC, CD, DB

c)

CD, BD, BC

d)

CD, BC, BD

21.

In ΔUVW, V W = 18, UW = 21, and UV = 9, order the angles from smallest to largest. (draw the triangle to help)

a)

∠W, ∠U, ∠V

b)

∠W, ∠V, ∠U

c)

∠V, ∠U, ∠W

d)

∠V, ∠W, ∠U

22.

Order the angles from smallest to largest.

a)

∠D, ∠E, ∠C

b)

∠D, ∠C, ∠E

c)

∠C, ∠E, ∠D

d)

∠C, ∠D, ∠E

23.

In which of the following triangles is ∠K the smallest angle?

a)
b)
c)
d)
24.

Three lookout towers are located at points A, B, and C on the section of the park in the drawing.

a)

m∠A is least

b)

m∠A is greatest

c)

m∠C is least

d)

m∠C is greatest

25.
Does a triangle with these side lengths exist?
15, 12, 9
a)
Yes
b)
No
c)
I don't know.
26.
Can the sides of a triangle have lengths 3, 4, and 9?
a)
Yes
b)
No
27.
What is a possible third side to a triangle with side lengths of 13 and 4?
a)
9
b)
12
c)
8
d)
5
28.
Which of the following would NOT work to make a triangle with the two side lengths of 2 and 6?
a)
6
b)
7
c)
5
d)
4
29.
The smallest angle would be located where in a triangle?
a)
Across from the smallest side.
b)
Across from the largest side
c)
Cannot tell
30.
Two sides of a triangle have side lengths of 17 meters and 12 meters.  What is the range of possible lengths for the third side?
a)
12 < x < 17
b)
12 < x < 29
c)
5 < x < 17
d)
5 < x < 29
31.

AE, BF, and CD are Medians of ΔABC.

If AE = 33, what is AG?

a)

22

b)

11

c)

3

d)

66

32.

Point T is the intersection of the angle bisectors of the triangle. Find the length of RU to the nearest tenth.

a)

20.1

b)

12

c)

17.3

d)

18.4

33.
HK and JK are angle bisectors of the triangle. Find the distance from K to side GJ.
a)
50
b)
16
c)
21
d)
not enough information