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10th Grade Math Ch. 6,7, and 8

Total questions: 15

Worksheet time: 1hrs 15mins

Name
Class
Date
1.

Angles 1 and 2 are both complementary to ∠3. What is m∠1 if m∠2 = (2x)° and m∠3 = (-x + 70)°?

a)

50 degrees

b)

40 degrees

c)

30 degrees

d)

90 degrees

2.

In triangle ABC, the point I is the midpoint of segment BC, and J is the centroid. Find x if AJ = 3x-3 and AI = 6 + x.

a)

6

b)

4

c)

8

d)

3

3.

Find x.

a)

5

b)

6

c)

4

d)

3

4.

Solve for x and y.

a)

x=9, y=80

b)

x=12, y=90

c)

x=7, y=100

d)

x=5, y=85

5.

The two lines are parallel.

Solve for x.

a)

60

b)

146

c)

36

d)

70

6.

The equation in a is 2a = _________ - ___________

a)

180 -10

b)

150 - a

c)

160 - a

d)

150 - 22

7.

The value of a is_________________

a)

10

b)

20

c)

40

d)

50

8.

Find the measure of angles 1 and 4.

a)

angle 1 = 60, angle 4 = 30

b)

angle 1 = 50, angle 4 = 20

c)

angle 1 = 70, angle 4 = 40

d)

angle 1 = 80, angle 4 = 10

9.

solve for x.

a)

10

b)

15

c)

20

d)

25

10.

B is equidistant from what two points.

a)

A and O

b)

C and O

c)

A and C

11.

What is the altitude of segment AC?

a)

 BO\overline{BO}  

b)

 AB\overline{AB}  

c)

 OC\overline{OC}  

d)

 BC\overline{BC}  

12.

What is the angle bisector of angle ABC?

a)

BC\overline{BC}

b)

AC\overline{AC}

c)

CB\overline{CB}

d)

BO\overline{BO}

13.

Given the parallelogram ABCD such that its diagonals intersect at point O.
Find x if AO=2x and  OC=4x2+12OC=-4x^2+12  

a)

-2 or 2/3

b)

2 or 4/3

c)

-2 or 3/2

d)

2 or 3/2

14.

Given the parallelogram ABCD such that its diagonals intersect at point O.

Find x if DA=x^2 and BC=x+6

a)

2 or 4

b)

5 or 6

c)

-2 or 3

d)

2 or -3

15.

Find a and b.

a)

a = 125, b = 10

b)

a=126, b=18

c)

a=136, b = 20

d)

a = 140, b=25