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Review for Unit 5 Test

Total questions: 64

Worksheet time: 35mins

Name
Class
Date
1.

A midsegment is...

a)

A segment containing the midpoints of 2 sides

b)

The intersection of 3 perpendicular bisectors

c)

A line, ray, or segment that is perpendicular to a segment at its midpoint

d)

A Ray that divides an angle into 2 congruent adjacent angles

e)

The point of concurrency of 3 angle bisectors

2.

A Perpendicular Bisector is...

a)

A segment containing the midpoints of 2 sides

b)

The intersection of 3 perpendicular bisectors

c)

A line, ray, or segment that is perpendicular to a segment at its midpoint

d)

A Ray that divides an angle into 2 congruent adjacent angles

e)

The point of concurrency of 3 angle bisectors

3.

An Incenter is...

a)

A segment containing the midpoints of 2 sides

b)

The intersection of 3 perpendicular bisectors

c)

A line, ray, or segment that is perpendicular to a segment at its midpoint

d)

A Ray that divides an angle into 2 congruent adjacent angles

e)

The point of concurrency of 3 angle bisectors

4.

A Circumcenter is...

a)

A segment containing the midpoints of 2 sides

b)

The intersection of 3 perpendicular bisectors

c)

A line, ray, or segment that is perpendicular to a segment at its midpoint

d)

A Ray that divides an angle into 2 congruent adjacent angles

e)

The point of concurrency of 3 angle bisectors

5.

An Angle Bisector is...

a)

A segment containing the midpoints of 2 sides

b)

The intersection of 3 perpendicular bisectors

c)

A line, ray, or segment that is perpendicular to a segment at its midpoint

d)

A Ray that divides an angle into 2 congruent adjacent angles

e)

The point of concurrency of 3 angle bisectors

6.

An isosceles triangle is...

a)

A segment from a vertex to the midpoint of the opposite side

b)

The point of concurrency of the medians of a triangle

c)

The perpendicular segment from a vertex to the opposite side or to the line that contains the opposite side

d)

A triangle with at least 2 congruent sides

e)

The congruent sides in an isosceles triangle

7.

A median is...

a)

A segment from a vertex to the midpoint of the opposite side

b)

The point of concurrency of the medians of a triangle

c)

The perpendicular segment from a vertex to the opposite side or to the line that contains the opposite side

d)

A triangle with at least 2 congruent sides

e)

The congruent sides in an isosceles triangle

8.

Legs are...

a)

A segment from a vertex to the midpoint of the opposite side

b)

The point of concurrency of the medians of a triangle

c)

The perpendicular segment from a vertex to the opposite side or to the line that contains the opposite side

d)

A triangle with at least 2 congruent sides

e)

The congruent sides in an isosceles triangle

9.

An Altitude is...

a)

A segment from a vertex to the midpoint of the opposite side

b)

The point of concurrency of the medians of a triangle

c)

The perpendicular segment from a vertex to the opposite side or to the line that contains the opposite side

d)

A triangle with at least 2 congruent sides

e)

The congruent sides in an isosceles triangle

10.

A Centroid is...

a)

A segment from a vertex to the midpoint of the opposite side

b)

The point of concurrency of the medians of a triangle

c)

The perpendicular segment from a vertex to the opposite side or to the line that contains the opposite side

d)

A triangle with at least 2 congruent sides

e)

The congruent sides in an isosceles triangle

11.

A Midpoint is...

a)

The angles opposite the legs in an isosceles triangle.

b)

The angle formed by two legs in an isosceles triangles

c)

A triangle with all congruent sides

d)

The side opposite the vertex angle

e)

The point on a segment exactly halfway between the endpoints of the segment.

12.

A Base is...

a)

The angles opposite the legs in an isosceles triangle.

b)

The angle formed by two legs in an isosceles triangles

c)

A triangle with all congruent sides

d)

The side opposite the vertex angle

e)

The point on a segment exactly halfway between the endpoints of the segment.

13.

The Vertex Angle is...

a)

The angles opposite the legs in an isosceles triangle.

b)

The angle formed by two legs in an isosceles triangles

c)

A triangle with all congruent sides

d)

The side opposite the vertex angle

e)

The point on a segment exactly halfway between the endpoints of the segment.

14.

Base Angles are...

a)

The angles opposite the legs in an isosceles triangle.

b)

The angle formed by two legs in an isosceles triangles

c)

A triangle with all congruent sides

d)

The side opposite the vertex angle

e)

The point on a segment exactly halfway between the endpoints of the segment.

15.

An Equilateral Triangle is...

a)

The angles opposite the legs in an isosceles triangle.

b)

The angle formed by two legs in an isosceles triangles

c)

A triangle with all congruent sides

d)

The side opposite the vertex angle

e)

The point on a segment exactly halfway between the endpoints of the segment.

16.

WY is the midsegment of

 Δ\Delta  QRS. Find the value of x. 

a)

5

b)

10

c)

50

d)

20

17.

WY is the midsegment of

Δ\Delta QRS. Find the value of x.

a)

30

b)

44

c)

72

d)

28

18.

WY is the midsegment of

Δ\Delta QRS. Find the value of x.

a)

14

b)

2

c)

7

d)

1

19.

WY is the midsegment of

Δ\Delta QRS. Find the value of x.

a)

19

b)

8

c)

15

d)

.75

20.

If DE=4x+5 and GJ=3x+25, what is DE?

a)

17

b)

20

c)

22.5

d)

19

21.

If EF=2x+7 and GH=5x-1, what is EF?

a)

37

b)

30

c)

8

d)

16

22.

If HJ=8x-2 and DF=2x+11, what is HJ?

a)

46

b)

1.07

c)

2.17

23.

Find the length of AB.

a)

-3

b)

3

c)

15

d)

-15

24.

Find the length of AB.

a)

12

b)

-2

c)

30

d)

6

25.

Find the length of AB.

a)

7

b)

55

c)

-55

d)

-7

26.

Point G is the circumcenter of

 ΔABC\Delta ABC  , find AG. 

a)

24

b)

17

c)

20

d)

29

e)

48

27.

Point G is the circumcenter of

 ΔABC\Delta ABC  , find BD. 

a)

24

b)

17

c)

20

d)

29

e)

48

28.

Point G is the circumcenter of

 ΔABC\Delta ABC  , find CF. 

a)

24

b)

17

c)

20

d)

29

e)

48

29.

Point G is the circumcenter of

 ΔABC\Delta ABC  , find BG. 

a)

24

b)

17

c)

20

d)

29

e)

48

30.

Point G is the circumcenter of

 ΔABC\Delta ABC  , find CE. 

a)

24

b)

17

c)

20

d)

29

e)

48

31.

Point G is the circumcenter of

 ΔABC\Delta ABC  , find AC. 

a)

24

b)

17

c)

20

d)

29

e)

48

32.

Find the value of x that makes N the incenter of the triangle.

a)

6

b)

3

c)

37

d)

35

33.

Find the value of x that makes N the incenter of the triangle.

a)

7

b)

0.5

c)

25

d)

35

34.

If BD=8x+10 and BF=18x, what is the length of DF?

a)

5

b)

45

c)

30

d)

15

35.

If GD=4x-16 and GC=6x+6, what is the length of CD?

a)

40

b)

60

c)

20

d)

9

36.

If AD=10x and DE=6x-4, what is the length of

AE?

a)

40

b)

20

c)

60

d)

4

37.

 mEFG =m\angle EFG\ =  

a)

 56°56\degree  

b)

  28°28\degree  

c)

 90°90\degree  

d)

 15°15\degree  

38.

AD=

a)

28

b)

7

c)

14

d)

2

39.

x=

a)

22

b)

11

c)

3

d)

6

40.

x=

a)

10

b)

5

c)

20

d)

27

41.

List the sides in order from smallest to largest.

a)

DF, FE , DE\overline{DF},\ \overline{FE}\ ,\ \overline{DE}

b)

FE, DE, DF\overline{FE},\ \overline{DE},\ \overline{DF}

c)

DE, FE, DF\overline{DE},\ \overline{FE},\ \overline{DF}

d)

DF, FE, DE\overline{DF},\ \overline{FE},\ \overline{DE}

42.

List the angles in order from smallest to largest.

a)

 F, E, D\angle F,\ \angle E,\ \angle D  

b)

 \angle E,\ \angle D,\ \angle F  

c)

 D, E, F\angle D,\ \angle E,\ \angle F  

d)

 D, F, E\angle D,\ \angle F,\ \angle E  

43.

List the sides in order from smallest to largest.

a)

YZ, ZX , YX \overline{YZ,}\ \overline{ZX\ },\ \overline{YX\ }

b)

YX, YZ, XZ\overline{YX},\ \overline{YZ},\ \overline{XZ}

c)

YX, ZX, YZ\overline{YX},\ \overline{ZX},\ \overline{YZ}

44.

List the angles in order from smallest to largest.

a)

 Z, X, Y\angle Z,\ \angle X,\ \angle Y  

b)

 X, Y, Z\angle X,\ \angle Y,\ \angle Z  

c)

 Y, X, Z\angle Y,\ \angle X,\ \angle Z  

45.

List the sides in order from smallest to largest.

a)

ST, SR, RT\overline{ST},\ \overline{SR},\ \overline{RT}

b)

RS, RT, ST\overline{RS},\ \overline{RT},\ \overline{ST}

c)

ST, TR, RS\overline{ST},\ \overline{TR},\ \overline{RS}

46.

List the angles in order from smallest to largest.

a)

 T, R, S\angle T,\ \angle R,\ \angle S  

b)

 R, S, T\angle R,\ \angle S,\ \angle T  

c)

 R, T, S\angle R,\ \angle T,\ \angle S  

47.

List the sides in order from largest to smallest.

a)

KL, JK, JL\overline{KL},\ \overline{JK},\ \overline{JL}

b)

KJ, JL, KL\overline{KJ},\ \overline{JL},\ \overline{KL}

c)

KL, JL, KJ\overline{KL},\ \overline{JL},\ \overline{KJ}

48.

List the angles in order from largest to smallest.

a)

 J, L, K\angle J,\ \angle L,\ \angle K  

b)

 J, K, L\angle J,\ \angle K,\ \angle L  

c)

 K, L, J\angle K,\ \angle L,\ \angle J  

d)

 L, J, K\angle L,\ \angle J,\ \angle K  

49.

List the sides from largest to smallest.

a)

CB, AC, AB\overline{CB},\ \overline{AC},\ \overline{AB}

b)

AC, AB, BC\overline{AC},\ \overline{AB},\ \overline{BC}

c)

AB, BC, AC\overline{AB},\ \overline{BC},\ \overline{AC}

d)

BC, AB, AC\overline{BC},\ \overline{AB},\ \overline{AC}

50.

List the angles from largest to smallest.

a)

 A, C, B\angle A,\ \angle C,\ \angle B  

b)

 B, A, C\angle B,\ \angle A,\ \angle C  

c)

 B, C, A\angle B,\ \angle C,\ \angle A  

d)

 C, A, B\angle C,\ \angle A,\ \angle B  

51.

List the sides from largest to smallest.

a)

QR, PR, QP\overline{QR},\ \overline{PR},\ \overline{QP}

b)

PR, PQ, QR\overline{PR},\ \overline{PQ},\ \overline{QR}

c)

PQ, QR, PR\overline{PQ},\ \overline{QR},\ \overline{PR}

d)

PQ, PR, QR\overline{PQ},\ \overline{PR},\ \overline{QR}

52.

List the angles from largest to smallest.

a)

 Q, R, P\angle Q,\ \angle R,\ \angle P  

b)

 Q, P, R\angle Q,\ \angle P,\ \angle R  

c)

 R, P, Q\angle R,\ \angle P,\ \angle Q  

d)

 P, R, Q\angle P,\ \angle R,\ \angle Q  

53.

Is it possible to construct a triangle with the given side lengths?

3, 4, 5

a)

Yes

b)

No

54.

Is it possible to construct a triangle with the given side lengths?

1, 6, 4

a)

Yes

b)

No

55.

Is it possible to construct a triangle with the given side lengths?

17, 33, 17

a)

Yes

b)

No

56.

Is it possible to construct a triangle with the given side lengths?

22, 26, 65

a)

Yes

b)

No

57.

Is it possible to construct a triangle with the given side lengths?

6, 43, 39

a)

Yes

b)

No

58.

Is it possible to construct a triangle with the given side lengths?

7, 54, 45

a)

Yes

b)

No

59.

Describe the possible lengths of the third side of the triangle given the lengths of the other two sides (write your answer as an inequality!) Ex. #<x<#


6in, 9in

(a)  

60.

Describe the possible lengths of the third side of the triangle given the lengths of the other two sides (write your answer as an inequality!) Ex. #<x<#


4ft, 12ft

(a)  

61.

Describe the possible lengths of the third side of the triangle given the lengths of the other two sides (write your answer as an inequality!) Ex. #<x<#


9m, 18m

(a)  

62.

Describe the possible lengths of the third side of the triangle given the lengths of the other two sides (write your answer as an inequality!) Ex. #<x<#


21yd, 16yd

(a)  

63.

Describe the possible lengths of the third side of the triangle given the lengths of the other two sides (write your answer as an inequality!) Ex. #<x<#


22in, 24in

(a)  

64.

Describe the possible lengths of the third side of the triangle given the lengths of the other two sides (write your answer as an inequality!) Ex. #<x<#


24cm, 36cm

(a)