© C

arne

gie

Lear

ning

Chapter 17  Assessments    1547

17

Pre-Test

Name Date

1. The equation of line m is y 5 1 __ 3 x 1 2.

a. Write the equation of a line that is parallel to line m. Explain your reasoning.

b. Write the equation of a line that is perpendicular to line m. Explain your reasoning.

2. A parallelogram ABCD was graphed using points A(22, 1), B(0, 5), C(3, 4), and D(1, 0). Is the parallelogram also a rectangle? Explain your reasoning.

© C

arne

gie

Lear

ning

1548    Chapter 17  Assessments

17

Pre-Test page 2

3. Graph triangle DEF using points D(21, 25), E(23, 4), and F(1, 3).

2222

24

26

28

242628 x

y

20 4 6 8

2

4

6

8

a. Determine if triangle DEF is scalene, isosceles, or equilateral. Explain your reasoning.

b. Determine if triangle DEF is acute, obtuse, or right. Explain your reasoning.

© C

arne

gie

Lear

ning

Chapter 17  Assessments    1549

17

Pre-Test page 3

Name Date

4. Refer to the equations of lines shown below.

Line A: y 5 1 __ 2 x 2 3 Line B: y 5 2

1 __ 2 x 1 7 __ 2 Line C: y 5 2x 2 3

Line D: y 5 21 __ 2 x 2 10 Line E: y 5 22x 1 5 __

2 Line F: y 5 22x 1 7

a. Determine which of the lines are parallel. Explain your reasoning.

b. Determine which of the lines are perpendicular. Explain your reasoning.