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Unit 5 Review: Relationships in Trianlges

Total questions: 37

Worksheet time: 2hrs 30mins

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.
The figure is an example of a(n) ...
a)
angle bisector
b)
midsegment
c)
altitude
d)
median
4.

Which of the following segments represents an median?

a)

BX

b)

AZ

c)

AC

d)

BZ

5.
The figure is an example of a(n) ...
a)
midsegment
b)
perpendicular bisector
c)
altitude
d)

median

6.
Find the length of AD
a)
2
b)
4
c)
6
d)
8
7.

AD and DC are congruent sides

What is the length of DC

a)
4
b)
1
c)
2
d)
3
8.

Perpendicular Bisectors cross at the

a)

Orthocenter

b)

Incenter

c)

Centroid

d)

Circumcenter

9.

The point at which concurrent lines cross is called the

a)

point of concurrency

b)

a point

c)

the big dot

d)

not the right answer

10.

Which segment is drawn?

a)

Perpendicular Bisector

b)

Altitude

c)

Midsegment

d)

Angle Bisector

11.

Medians cross at the

a)

Orthocenter

b)

Centroid

c)

Incenter

d)

Circumcenter

12.

Angle Bisectors cross at the

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

13.
If Z is the centroid, what type of segments are drawn?
a)
angle bisectors
b)
perpendicular bisectors
c)
altitudes
d)
medians
14.
Based on the markings, segment AB represents the...
a)
perpendicular bisector
b)
angle bisector
c)
median
d)
altitude
15.
Given:  m<PXR=2a+10, If segment PX is the altitude find the value of "a".
a)
50
b)
17
c)
40
d)
35
16.
The centroid cuts each median into two segments.  The shorter segment is ___________ the length of the entire segment.
a)
one third
b)
two thirds
c)
three fourths
d)
one half
17.

In Obtuse Triangles, which special segment can be outside of the triangle?

a)

Midsegments

b)

Medians

c)

Altitudes

d)

Perpendicular Bisectors

18.
If AC=42, find DF
a)
21
b)
84
c)
14
d)
28
19.
a)
x=3/17
b)
x=9
c)
x=3
d)
x= -3
20.
Given segment AM is a median in ΔABC. Find the length of segment BC.
a)
34
b)
6
c)
17
d)
27
21.
What is the value of y?
a)
3
b)
-3
c)
No Solution
d)
5
22.

List the angles from smallest to largest.

a)

<N, <L, <M<N,\ <L,\ <M

b)

<L, <M, <N<L,\ <M,\ <N

c)

<M, <N, <L<M,\ <N,\ <L

d)

<L, <N, <M<L,\ <N,\ <M

23.

List the angles from smallest to largest.

a)

<F, <E, <D<F,\ <E,\ <D

b)

<F, <D, <E<F,\ <D,\ <E

c)

<D, <F, <E<D,\ <F,\ <E

d)

<D, <E, <F<D,\ <E,\ <F

24.

List the SIDES from smallest to largest.

a)

PR‾, QP‾, RQ‾\overline{PR},\ \overline{QP},\ \overline{RQ}

b)

PR‾, RQ‾, QP‾\overline{PR},\ \overline{RQ},\ \overline{QP}

c)

QP‾, PR‾, RQ‾\overline{QP},\ \overline{PR},\ \overline{RQ}

d)

QP‾, RQ‾, PR‾\overline{QP},\ \overline{RQ},\ \overline{PR}

25.

Is it possible to construct a triangle with sides 15, 37, 53?

a)

Yes

b)

No

c)

Cannot be determined

26.

Is it possible to construct a triangle with sides 9, 16, 8?

a)

Yes

b)

No

c)

Cannot be determined

27.

A triangle has two sides with lengths 5 and 13. Which choice describes the possible lengths of the third side?

a)

7<x<167<x<16

b)

5<x<135<x<13

c)

8<x<188<x<18

d)

9<x<199<x<19

28.

A triangle has side lengths 6 and 10.

Which choice CANNOT be the length of the third side?

a)

5

b)

11

c)

15

d)

17

29.

A triangle has side lengths 7 and 12.

Which choice CAN be the length of the third side?

a)

5

b)

10

c)

19

d)

21

30.
a)

10.5

b)

15

c)

21

d)

28

31.
a)

AB>AC

b)

AB<AC

c)

AB=AC

d)

No conclusion can be made

32.

Compare m∠ACD and m∠GDEm\angle ACD\ and\ m\angle GDE

a)

m∠ACB > m∠GDEm\angle ACB\ >\ m\angle GDE

b)

m∠ACD < m∠GDEm\angle ACD\ <\ m\angle GDE

c)

m∠ACB = m∠GDEm\angle ACB\ =\ m\angle GDE

d)

∠ACB ≅ ∠GDE\angle ACB\ \cong\ \angle GDE

33.

Compare QT and ST

a)

QT < STQT\ <\ ST

b)

QT > STQT\ >\ ST

c)

QT = STQT\ =\ ST

d)

QT‾ ≅ ST‾\overline{QT}\ \cong\ \overline{ST}

34.

Find the range of possible values for x.

a)

72<x<24\frac{7}{2}<x<24

b)

x<6x<6

c)

24<x24<x

d)

112<x<6\frac{11}{2}<x<6

35.

Find the range of possible values of x.

a)

53<x<8\frac{5}{3}<x<8

b)

−32<x>8-\frac{3}{2}<x>8

c)

323<x<27\frac{32}{3}<x<27

d)

27<x<3727<x<37

36.

Find the range of possible values for x.

a)

2 <x<62\ <x<6

b)

6<x<15 136<x<15\ \frac{1}{3}

c)

6<x<226<x<22

d)

2<x<222<x<22

37.
Select the correct answer
a)
A
b)
B
c)
C
d)
D