Free Printable Test: Module 4

1.

a)

a and b

b)

c and e

c)

c and d

d)

d and e

2.

a)

3) Reflexive Property, 4)

m\angle5=m\angle5

b)

3) Transitive Property, 4) $m\angle5=m\angle5$

c)

3) Substitution Property, 4) $m\angle3=m\angle4$

d)

3) Transitive Property, 4) Reflexive Property

3.

Enter the degree measure that completes the equation $m\angle BCD=$

(a)

4.

Ricardo is copying angle BCD. What is the next step in Ricardo's construction?

a)

Draw an arc and label the intersection point V.

b)

Place the point of the compass on point Y and adjust the width to point X.

c)

Draw TU and point R on TU.

d)

Draw VU and point R on VU.

5.

Complete the proof by choosing the correct reasons to the table for lines 3 and 6.

a)

Reason 3: Vertical angles are congruent.; Reason 6: Vertical angles are congruent.

b)

Reason 3: If two parallel lines are cut by a transversal, the corresponding angles are congruent.; Reason 6: If two parallel lines are cut by a transversal, the alternate interior angles are congruent.

c)

Reason 3: Vertical angles are congruent.; Reason 6: If two parallel lines are cut by a transversal, the alternate interior angles are congruent.

d)

Reason 3: If two parallel lines are cut by a transversal, alternate interior angles are congruent.; Reason 6: If two parallel lines are cut by a transversal the corresponding angles are congruent.

6.

Choose the correct statement and reason for line 2 and line 3 in the table to complete the proof. Select ALL that apply.

a)

Statement 2: $\angle DAB\cong\angle ABC$ ; Reason 2: If two parallel lines are cut by a transversal, then the alternate interior angles are congruent.

b)

Statement 3: $\angle EAC\cong\angle ACB$ ; Reason 3: If two parallel lines are cut by a transversal, the alternate interior angles are congruent.

c)

Statement 2: $\angle EAC\cong\angle ACB$ ; Reason 2: If two parallel lines are cut by a transversal, then the alternate interior angles are congruent.

d)

Statement 3: $\angle DAB\cong\angle ABC$ ; Reason 3: If two parallel lines are cut by a transversal, the alternate interior angles are congruent.

7.

Find the equation of the given line that is perpendicular to the given line and passes through the given point.

y=-\frac{1}{3}x-5;\ \left(12,\ 0\right)

a)

$y=3x-36$

b)

$y=-\frac{1}{3}x-36$

c)

$y=\frac{1}{3}x+36$

d)

$y=\frac{1}{3}x-36$

8.

Which of the following equations represents a line that is perpendicular to the lines represented by

-3x+9y=18

?

a)

$-3x+y=6$

b)

$3x+y=-7$

c)

$-x+3y=18$

d)

$-x+3y=6$

9.

The equation for line A is $y=-\frac{2}{3}x-4$ . Line A and line B are perpendicular and the point $\left(-2,\ 1\right)$ lies on line B. Choose one correct equation for line B.

a)

$y=-\frac{3}{2}x+4$

b)

$y=\frac{2}{3}x+4$

c)

$y=\frac{2}{3}x-4$

d)

$y=\frac{3}{2}x+4$

10.

Which of the following equations represents the line passing through the point $\left(3,\ -5\right)$ and is parallel to the line containing the points $\left(1,\ 4\right)$ and $\left(3,\ -2\right)$ ?

a)

$x-3y=18$

b)

$x-3y=-18$

c)

$3x+y=4$

d)

$3x-y=14$

Test: Module 4

Total questions: 10

Worksheet time: 30mins

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