Free Printable Unit 1 Extra Practice

1.

What is another name for plane N?

a)

ABC

b)

BDE

c)

Plane T

d)

BCE

2.

Which names a pair of opposite rays?

a)

$\overrightarrow{CA}\ and\ \overrightarrow{CD}$

b)

$\overrightarrow{CB}\ and\ \overrightarrow{CD}$

c)

$\overrightarrow{BC}\ and\ \overrightarrow{DC}$

d)

$\overrightarrow{BC}\ and\ \overrightarrow{CD}$

3.

Name the intersection of the two planes.

a)

$\overline{BD}$

b)

$\overline{BC}$

c)

$\overleftarrow{A}\overrightarrow{C}$

d)

$\overleftarrow{B}\overrightarrow{D}$

4.

E is the midpoint of $\overline{DF}$ .

DE = 6x + 5.
EF = 20x - 2.

Find DF.

a)

$\frac{1}{2}$

b)

8

c)

16

d)

28

5.

$\overrightarrow{BR}$ bisects $\angle ABC$ .
$m\angle ABR\ =\ 7x\ +\ 17.$
$m\angle ABC\ =\ 76.$
Solve for x.

{Only write the number that represents x.}

(a)

6.

a)

$\angle5\ and\ \angle6$

b)

$\angle5\ and\ \angle8$

c)

$\angle6\ and\ \angle8$

d)

$\angle5\ and\angle7$

7.

a)

(4x, -3x)

b)

(8x, -6x)

c)

(4x, -4x)

d)

(x, 4x)

8.

a)

(1, 1)

b)

(8, -13)

c)

(-1, -1)

d)

(-10, 11)

9.

a)

$\sqrt{73}$

b)

$\sqrt{65}$

c)

5

d)

$\sqrt{55}$

10.

What is the measure of angle 1?

(a)

11.

a)

True. The segments are congruent.

b)

False. The segments are not congruent.

12.

a)

(2, -3)

b)

(14, 21)

c)

(-8, 12)

d)

(-2, 3)

13.

B is in the interior of $\overline{AC}$ .

AC = 14x + 3, AB = 6x - 1 and BC = 16.

What is AB?

(a)

14.

A triangle has three angles that measure $60\degree,\ 63\degree,\ and\ 58\degree$ .

What geometry does this triangle belong to?

a)

Euclidean

b)

spherical

c)

neither

15.

$m\angle ABC\ =\ 10x\ +\ 8.$ $m\angle CBD\ =\ 12x-6.$
If x = 4, then are these vertical angles?
Choose the best answer.

a)

Yes, they share a vertex and are opposite.

b)

No, these angles are complementary.

c)

No, these angles do not share a vertex.

d)

Yes, they are congruent.

16.

You are given a line and a point in spherical geometry as shown. How many lines can you draw through the point given that will be parallel to the line given?

a)

One

b)

Infinitely many

c)

You can draw one perpendicular line.

d)

None, there are no parallel lines in spherical geometry.

Unit 1 Extra Practice - Goethals

Total questions: 16

Worksheet time: 28mins

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