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Chapter 4 Review

Total questions: 40

Worksheet time: 1hrs 17mins

Name
Class
Date
1.

Which calculation would determine the coordinates of the midpoint of the segment that connects

(2,7)\left(-2,7\right)   and   (6,5)\left(6,-5\right)  

a)

(2+62,7+52)\left(\frac{-2+6}{2},\frac{7+-5}{2}\right)  

b)

(2+72,6+52)\left(\frac{-2+7}{2},\frac{6+-5}{2}\right)  

c)

(2+52,7+62)\left(\frac{-2+-5}{2},\frac{7+6}{2}\right)  

d)

(2+6,7+5)\left(-2+6,7+-5\right)  

2.

Vertical Angles are...

a)

complementary

b)

supplementary

c)

congruent

d)

none of these

3.

The interior angles of a triangle add to (a)   degrees.

4.

What type of angles are highlighted above?

a)

Alternate Exterior Angles

b)

Consecutive Interior Angles

c)

Corresponding Angles

d)

Alternate Interior Angles

5.

What is the length of DE?

(a)  

6.
Which is a pair of corresponding angle?
a)
Angle 1 & Angle 4
b)
Angle 2 & Angle 7
c)
Angle 8 & Angle 6
d)
Angle 3 and Angle 5
7.

Parallel lines have the ______ slope.

a)

opposite reciprocal

b)

same

c)

negative

8.
How are the triangles congruent?
a)
AAS
b)
SAS
c)
ASA
d)
SSS
9.
Are these triangles congruent?
a)
Yes, by SSS
b)
Yes, by SAS
c)
Yes, by AAS
d)
Yes, by HL
10.

Solve for x. (Just type the number, not x = )

(a)  

11.
What is the slope of the line passing through points (2,7) and (-1,3)?
a)
2/7
b)
3/4
c)
4/3
d)
1/3
12.
Which pair of slopes represents perpendicular lines?
a)
1/7 , 7
b)
3 ,-3
c)
1/2, -2
d)
7/3, 5/
13.

Which theorem below could never be used to prove congruent triangles?

a)

ASA

b)

SSS

c)

SSA

d)

AAS

14.
What is the value of x?
a)
55
b)
125
c)
60
d)
50
15.
What is the value of y?
a)
60
b)
125
c)
70
d)
55
16.

Are the two triangles congruent? If they are, select the correct congruence postulate. If there is not enough information, select N/A.

a)

ASA

b)

SAS

c)

AAS

d)

N/A

17.

This is a......

a)

an obtuse triangle

b)

an equilateral triangle

c)

a scalene triangle

d)

a right triangle

18.

If the measure of ABC=98\angle ABC=98^{\circ}  and BD\overrightarrow{BD}  is an angle bisector. What is the measure of ABD and DBC\angle ABD\ and\ \angle DBC  ?

a)

196

b)

98

c)

49

d)

Can't be determined

19.

The symbol ⊥ is used for which of the following notations?

a)

Parallel Lines

b)

Perpendicular lines

c)

Congruency

d)

Opposite Rays

20.

In the picture

ΔBGE  Δ\Delta BGE\ \cong\ \Delta  ?

a)

EGA

b)

AGC

c)

AGE

d)

BGD

21.

Find the value of x.

a)

-11

b)

6

c)

11

d)

-10

22.
Find the value of the base angle. 
a)
30
b)
120
c)
60
d)
180
23.

Find the measure of angle B.

(a)  

24.

A base angle of an isosceles triangle is 18 more than 4 times the vertex angle. Find the measure of one of the base angles.

(a)  

25.

Find x

(a)  

26.

The altitude to the base of an isosceles triangle is also a median

a)

True

b)

False

27.

Two congruent segments with a common endpoint are equidistant

a)

True

b)

False

28.

Adjacent angles are always congruent

a)

True

b)

False

29.

Perpendicular angles are always congruent

a)

True

b)

False

30.
Identify AD as a median, altitude, neither, or both according to what can be proved.
a)
Median
b)
Altitude
c)
Neither
d)
Both
31.
Which of the following segments represents an altitude?
a)
BX
b)
AZ
c)
AC
d)
BZ
32.

The lengths of sides of a triangle are 4 cm, 5 cm and 6 cm. The triangle is

a)

Scalene triangle

b)

Equilateral triangle

c)

Isosceles triangle

d)

Right angled triangle

33.

If the measure of each angle of a triangle is 60⁰ then the triangle is

a)

Scalene triangle

b)

Equilateral triangle

c)

Isosceles triangle

d)

Right angled triangle

34.

Which of the following triangles will have an altitude in its exterior?

a)
b)
c)
d)
35.
The figure is an example of a(n) ...
a)
altitude 
b)
perpendicular bisector
c)
midsegment
d)
angle bisector
36.

The slope of a horizontal line is:

a)

Undefined

b)

0

c)

Parallel to the y-axis

d)

1

37.

The slope of a vertical line is:

a)

Undefined

b)

0

c)

Parallel to the y-axis

d)

1

38.
Slope is written as a(n) ________.
a)
Ordered Pair (x, y)
b)

Ratio

39.

Find the value of x given (2, 4) and (x, 12) m = 2

a)

3

b)

4

c)

6

d)
-2
40.

If triangle ABC is an isosceles triangle, angle B is the vertex angle,

AB=6x+3, BC=8x1, \overline{AB}=6x+3,\ \overline{BC}=8x-1,\  and  AC=10x10\overline{AC}=10x-10  , find the perimeter of triangle ABC.

a)

30

b)

10

c)

2

d)

40