Free Printable Chapter 1-4 Final Review

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)

angle bisector

b)

midsegment

c)

altitude

d)

median

3.

Which of the following describes a median of a triangle?

a)

A. A middle of the triangle.

b)

B. A segment with endpoints at the vertex and midpoint of the opposite side.

c)

C. A segment that connects two midpoints of two sides.

d)

D. A segment that connects the vertex and the opposite side at 90 degrees.

4.

The altitude is __________to the side of a triangle.

a)

parallel

b)

skew

c)

off

d)

perpendicular

5.

Name the segment/line/ray shown in the picture.

a)

Perpendicular Bisector

b)

Angle Bisector

c)

Median

d)

Altitude

6.

10. What type of lines are shown

a)

perpendicular bisectors

b)

medians

c)

altitudes

d)

angle bisectors

7.

A segment joining a vertex to the opposite side so that is perpendiuclar to that side.

a)

perpendicular bisector

b)

angle bisector

c)

median

d)

altitude

8.

What does this symbol represent?

a)

Intersection

b)

Union

9.

What does this symbol represent?

a)

Intersection

b)

Union

10.

$\overline{AB}\ \cap\ \overline{BC}$

a)

$B$

b)

$\angle ABC$

c)

$\overline{AC}$

11.

$\overrightarrow{CD}\ \cup\ \overrightarrow{CB}$

a)

$C$

b)

$\angle BCD$

c)

$\overline{AC}$

12.

Find the midpoint:

a)

$\left(-\frac{3}{2},-\frac{5}{2}\right)$

b)

$\left(-1,-3\right)$

c)

$\left(-\frac{1}{2},-\frac{5}{2}\right)$

d)

$\left(-3,-1\right)$

13.

Find the midpoint: $\left(3,9\right),\left(-1,-5\right)$

a)

$\left(-1,-2\right)$

b)

$\left(2,7\right)$

c)

$\left(-2,-7\right)$

d)

$\left(1,2\right)$

14.

In triangle ABC, the length of side AB is 10 inches and the length of side BC is 17 inches. Which of the following could be the length of side AC?

a)

16 inches

b)

5 inches

c)

32 inches

d)

29 inches

15.

If a is related to b and b is related to c then a is related to c

a)

transative property

b)

subtraction POE

c)

Given

d)

Definition of right angle

16.

If m<1 + m<2 = 50 and m<2 = 10, then m<1 + 10 = 50

a)

Transitive property

b)

Substitution

c)

Definition of angle bisector

d)

Subtraction POE

17.

The symbol $\cong$ means..........

a)

Congruent

b)

transitive

c)

equal sign

d)

supplementary

18.

Find the slope of the line that passes through:
(6,7) and (4,2)

a)

2/5

b)

-5/2

c)

5/2

d)

-1/2

19.

Slopes of perpendicular lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

20.

What is the slope of a line perpendicular to a line with slope ^-6/₅?

a)

^-6/₅

b)

^-5/6

c)

⁵/₆

d)

^-4/₃

21.

The measures of the angles of ▲LMN are in the ratio of 2:3:5.

What is the measure of the largest angle?

a)

36

b)

54

c)

90

d)

18

22.

Which segment is the base?

a)

Segment AB

b)

Segment BC

c)

Segment AC

23.

Which angle is the vertex angle?

a)

<C

b)

<A

c)

<B

24.

If an isosceles triangle has a base angle measuring 40°, then what measure is the VERTEX angle?

a)

120°

b)

100°

c)

40°

d)

80°

25.

$If\ AE\cong DE,\ then\ \angle A\ \cong\angle\ ?$

a)

B

b)

C

c)

D

d)

E

26.

Fill in the blank:

A point that is the same distance from two figures is ___________________ from from the two figures.

a)

Equidistant

b)

Congruent

c)

Vertical

d)

Corresponding

27.

A ray that divides an angle into two congruent angles is called .............

a)

perpendicular bisector

b)

angle bisector

c)

vertex

d)

divider

28.

If the measure of an angle exceeds its complement by 20° , then the measure of the complement is

a)

35

b)

55

c)

100

d)

80

29.

If the measure of an angle exceeds its supplement by 35° , then the measure of the supplement is

a)

27.5

b)

62.5

c)

107.5

d)

72.5

30.

∠P

a)

∠R

b)

∠W

c)

∠ ROW

d)

∠POT

31.

If triangle KTM is congruent to triangle UPN, what is angle M congruent to?

a)

angle N

b)

angle P

c)

angle U

d)

angle K

32.

If triangle TCW is congruent to triangle EBA, what is angle C congruent to?

a)

angle B

b)

angle E

c)

angle A

d)

angle W

33.

Find the angles formed by the hands of a clock at 10:25.

a)

162.5

b)

167.5

c)

150

d)

179

34.

Find the angle formed by the hands of a clock at 3:40

a)

140

b)

230

c)

130

d)

120

35.

What information would you need to prove $\Delta HAT\cong\Delta MAP$ by ASA?

a)

$HT\cong MP$

b)

$TA\cong AM$

c)

$TA\cong MA$

d)

Not Possible $HA\cong AP$

36.

Looking at the given information in the figure, what additional reasoning would you most likely use before you prove the triangles congruent?

a)

Reflexive Property

b)

Vertical Angles

c)

Definition of Midpoint

d)

Def. Bisector

e)

Def. Perpendicular

37.

Can the triangles be proven congruent? If so, how?

a)

ASA

b)

Cannot be proven congruent

c)

SAS

d)

SSS

38.

Name the postulate, if possible, that makes the triangles congruent.

a)

SAS

b)

ASA

c)

AAS

d)

HL

39.

Including the Reflexive Property, state whether the triangles are congruent and why.

a)

no, not enough information

b)

yes, SAS

c)

yes, ASA

d)

yes, HL

40.

Name a pair of overlapping congruent triangles and state how. (Hint: they have to be overlapping)

a)

∆AQT ≅ ∆SQT by SAS

b)

∆TAR ≅ ∆TSP by AAS

c)

∆TAR ≅ ∆TSP by ASA

d)

∆AQT ≅ ∆SQT by SSA

41.

What is the reason for Step 8?

a)

ASA

b)

SAS

c)

SSS

d)

HL

42.

a)

Angle Addition Postulate

b)

Definition of Angle Bisector

c)

Multiplication Property

d)

Division Property

43.

a)

Vertical Angles Theorem

b)

Supplements Theorem

c)

Congruent Supplements Theorem

d)

Definition of Angle Bisector

44.

a)

Angle Addition Property

b)

Addition Property

c)

Subtraction Property

d)

Transitive Property

45.

a)

Definition of Congruence

b)

Reflexive Property

c)

Symmetric Property

d)

Definition of Angle Bisector

46.

a)

Congruent Supplements Theorem

b)

Angle Addition Property

c)

Definition of Supplementary

d)

Substitution Property

47.

a)

Reflexive Property

b)

Transitive Property

c)

Symmetric Property

d)

Definition of Congruence

48.

a)

Addition Property

b)

Subtraction Property

c)

Multiplication Property

d)

Division Property

49.

a)

Addition Property

b)

Segment Addition Property

c)

Subtraction Property

d)

Substitution Property

50.

a)

x = 56

b)

x = 66

c)

x = 156

d)

x = 166

51.

Solve for x

a)

5

b)

90

c)

25

d)

10

52.

a)

Right

b)

Scalene

c)

Isosceles

d)

Equilateral

53.

In a triangle, how many total degrees are there?

a)

100%

b)

180 degrees

c)

it varies

d)

360 degrees

54.

What Type of Triangle is this?

a)

Equilateral triangle

b)

Obtuse Triangle

c)

Acute Triangle

55.

How many acute angles must an acute triangle have?

a)

2

b)

1

c)

4

d)

3

Chapter 1-4 Final Review

Total questions: 55

Worksheet time: 1hrs 12mins

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