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**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. **

4

8

*y 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