# Geometry Take-Home Test 3 Name:____________________________________  3

### Geometry Take-Home Test 3 Name:____________________________________

For problems 1-2, Circle the correct response using the diagram at the right..

1.

Two

alternate interior angles:

a)  14 and  3 b)  7 and  11 c)  2 and  6 d)  16 and  12

2.

Two

same-side exterior angles : a)

 14 and  3 b)  13 and  1 c)  1 and  6 d)  16 and  12

For problems 3-4, use the diagram to find and state theorem or postulate that justifies your answer.

3.

.

4.

Given: r || t

m

2 = ________ by m

5 = _______ by ______ m ______

1 = ____________ by m

2= _____________ by ______ ______

5. Find the value of x for which a || t. a) 6. Find the value of the variable x. a) b) x = ________________

On problems 7-9, find the values of the variables.

7. 8. x = __________________ x = __________________ b)

a t

x = __________ 9. x = _______________ y = __________________ y = ___________________ z = ____________________ y = _______________ z = _______________

10.

What is the interior angle sum of the following polygon?

11.

Determine the angle measure of each interior and exterior angle for a

convex regular octacagon

.

a) Each Interior angle measure = ____________________ b) Each exterior angle measure = _________________ Determine whether the following pairs of lines are parallel, perpendicular, or neither. JUSTIFY your answer. 12.

 8

y

4

y

   6 3

x x

  28 16

y

  

x x

  2 11

14.

4 2

y y

  4 4

x x

  12 8

For questions 15-16, write the equation of each line described below. 15.

The line passes through (-7, 3) and (3, 23).

16.

The line is perpendicular to

y

  4

x

 120 and contains (12, -11).

17. Using INTERCEPTS, graph the following. SHOW WORK! 18. Using slope and y-intercept, graph the following.

 3

x

 2

y

  12

y

  4 7

x

 8