Free Printable Unit 1 Review in Geometry Basics

1.

Choose the points that are non-coplanar.

a)

D, E, and F

b)

D, H, and F

c)

F, D, and G

d)

G, E, and D

2.

Are the points D, G, and F coplanar?

a)

Yes

b)

No

3.

Two planes _________________ intersect in a point.

a)

always

b)

sometimes

c)

never

4.

Two distinct lines _________________ meet in more than one point.

a)

always

b)

sometimes

c)

never

5.

Two points are _________________ collinear.

a)

always

b)

sometimes

c)

never

6.

Two points are _________________ coplanar.

a)

always

b)

sometimes

c)

never

7.

Three points _________________ determine a plane.

a)

always

b)

sometimes

c)

never

8.

Three distinct planes _________________ intersect at a point.

a)

always

b)

sometimes

c)

never

9.

a)

I only

b)

II only

c)

III only

d)

II and III

e)

I and III

10.

Two points _________________ determine a line.

a)

always

b)

sometimes

c)

never

11.

Three points _________________determine a plane.

a)

always

b)

sometimes

c)

never

12.

Why do three points SOMETIMES determine a plane?

a)

The three points have to be collinear to determine a plane.

b)

The three points have to be noncollinear to determine a plane.

c)

Sometimes? They ALWAYS determine a plane.

13.

The intersection of a line and a plane is _________________ a point.

a)

always

b)

sometimes

c)

never

14.

Name the intersection of:

Line TS and plane R

a)

Plane R

b)

Line TS

c)

Line CM

d)

Point M

15.

Name the intersection of:

Planes P and R

a)

Plane R

b)

Line DC

c)

Point C

d)

Plane P

16.

Find $\angle HIW$ if $\angle HIJ\ =\ 164\degree$ and $\angle WIJ\ =\ 140\degree$

a)

$\angle HIW\ =\ 304\degree$

b)

$\angle HIW=16\degree$

c)

$\angle HIW=40\degree$

d)

$\angle HIW=24\degree$

17.

Solve for x if $\angle ABD=x+67$ , $\angle ABC=104\degree$ , and $\angle DBC\ =\ x+51$ .

a)

x = 53

b)

x = 37

c)

x = 7

d)

x = $-7$

18.

$\angle JKU=3x-9,\ \angle UKL=138\degree$ and $\angle JKL=15x-3$ . Solve for x.

a)

x = 49

b)

x = 9.4

c)

x = 11

d)

x = 8.3

19.

Find the midpoint of the line segment with endpoints (-2,0) & (9,-1).

a)

(1, 3)

b)

(3.5, -.5)

c)

(-.5, 3.5)

d)

(6, -.5)

20.

What is the midpoint between (3, -1) and (7, -5)

a)

(5, -2)

b)

(10, -6)

c)

(5, -3)

d)

(2, -2)

21.

Point M with coordinates (3,4) is the midpoint of the line AB and A has the point (-1,6). What is the point of B?

a)

(1,5)

b)

(2,10)

c)

(7,2)

d)

(1,2)

22.

Which of the following is the correct midpoint formula given two endpoints (x₁, y₁) and (x₂, y₂)?

a)

b)

c)

d)

23.

How is the distance formula correctly written:

a)

$d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ -\left(x_{2\ }-\ x_1\right)^2}\$

b)

$d\ =\ \sqrt{\left(x_{2\ }-\ x_1\right)^2\ +\ \left(y_{2_{\ }}-\ y_1\ \right)^2}$

c)

$d\ =\ \sqrt{\left(y_{1\ }-\ y_2\right)^2\ +\ \left(x_{2\ }-\ x_1\right)^2}$

d)

d = $\sqrt{\left(x\right)^2-\ \left(y\right)^2}$

24.

What is the distance between JK, where J(4,3) and K(2, -3)?

d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}

a)

√ ̅3̅2̅

b)

40

c)

32

d)

√ ̅4̅0̅

25.

The midpoint M and one endpoint of segment GH is given. Find the coordinates of the other endpoint. G(5, -6) and M(4,3).

a)

(3, 12)

b)

(6, 4)

c)

(1, 2)

26.

a)

x=67

b)

x=43

c)

x=55

d)

x=12

27.

AND find the measure of ∠ABD

a)

x=3/17 ∠ABD = 27°

b)

x=9 ∠ABD = 81°

c)

x=3 ∠ABD = 27°

d)

x= -3 ∠ABD = -27°

28.

$\angle ECD=122\degree$ and $\angle BCE=36\degree$ . Find the measure of $\angle BCD$ .

a)

$\angle BCD=158\degree$

b)

$\angle BCD=86\degree$

c)

$\angle BCD=58\degree$

d)

$\angle BCD=144\degree$

29.

Solve for x if $\angle ABD=x+67$ , $\angle ABC=104\degree$ , and $\angle DBC\ =\ x+51$ .

a)

x = 53

b)

x = 37

c)

x = 7

d)

x = $-7$

30.

$\angle JKU=3x-9,\ \angle UKL=138\degree$ and $\angle JKL=15x-3$ . Solve for x.

a)

x = 49

b)

x = 9.4

c)

x = 11

d)

x = 8.3

31.

Find the missing angle.

a)

53

b)

67

c)

77

d)

43

32.

Supplementary angles always add up to (a) degrees.

33.

a)

x = 118

b)

x = 108

c)

x = 28

d)

x = 58

34.

What is the value of "x"?

a)

20

b)

30

c)

25

d)

15

35.

If x = 20, what are the measures of these angles?

a)

40° and 140°

b)

35° and 145°

c)

70° and 110°

d)

60° and 120°

36.

What is the value of x?

a)

37

b)

72

c)

108

d)

18

37.

Find the value of x.

a)

14

b)

60

c)

35

d)

180

38.

Find the value of t

a)

-1

b)

5

c)

5.14

d)

7

39.

What is the name of this ray?

a)

$\overrightarrow{AB}$

b)

$\overrightarrow{BA}$

c)

$\overrightarrow{A}$

d)

$\overrightarrow{B}$

40.

What is the hypothesis in this conditional statement?

If it is my birthday, then I eat birthday cake.

a)

It's my birthday

b)

I eat birthday cake.

41.

What is the conclusion in this conditional statement?

If Leon is serving an apple pie, then he is serving a dessert.

a)

Leon is serving an apple pie

b)

Leon is serving dessert

42.

What is the hypothesis in this conditional statement?

If Greta wants to eat dessert, then she must finish her dinner.

a)

Greta wants to eat dessert

b)

Greta must finish her dinner.

43.

What is the conclusion in this conditional statement?

If a quadrilateral has no right angles, then it is not a rectangle.

a)

a quadrilateral has no right angles

b)

a quadrilateral is not a rectangle.

44.

Given the statement;

"If I am hungry, then I eat."

Which of the following is the inverse?

a)

If I eat, then I am hungry.

b)

If I don't eat then I am not hungry

c)

If I am not hungry, then I don't eat.

d)

If I am not hungry, then I eat.

45.

Given the statement;

"If Max gets good grade, then he won't be grounded"

Which of the following is the contrapositive?

a)

If Max isn't grounded then he gets good grades.

b)

If Max doesn't get good grade then he will be grounded.

c)

If Max gets grounded then he doesn't get good grades.

d)

If Max gets good grades, the he will get grounded.

46.

Given the statement;

"If Jose eats fish, then he has an allergic reaction"

Which of the following is the converse?

a)

None of these

b)

If Jose doesn't have an allergic reaction, then he didn't eat fish.

c)

If Jose doesn't eat fish, then he doesn't have an allergic reaction.

d)

If Jose has an allergic reaction, then he ate fish.

47.

What is the converse to this statement?

a)

If it isn't dark outside, then it is not night.

b)

If it is night, then it is dark outside

c)

If it is not night, then it is not dark outside.

d)

It is night.

48.

Select the conditional statement(s) of the biconditional statement.

Points are collinear if and only if they all lie in one line.

a)

If collinear points lie in one line, then they are a line.

b)

If points all lie in one line, then they are collinear.

c)

Collinear points lie in one line.

d)

If points are collinear, then they all lie in one line.

49.

What is this mean?

a)

Conditional Statement

b)

Converse

c)

Inverse

d)

Contrapositive

50.

What does this mean?

a)

Conditional Statement

b)

Inverse Statement

c)

Converse Statement

d)

Contrapositive Statement

51.

What is this?

a)

Conditional Statement

b)

Inverse

c)

Converse

d)

THIS IS A GEOMETRY CLASS!!! GIVE ME NUMBERS!

52.

This symbol, ↔, means?

a)

and

b)

or

c)

if and only if

d)

implies

53.

When writing a biconditional statement, we use the phrase ___ between the hypothesis and conclusion.

a)

if

b)

then

c)

if and only if

d)

always

54.

What is the biconditional that matches the statement: "A right angle is an angle with 90 degrees."

a)

If an angle has 90 degrees, then it is a right angle.

b)

If an angle is a right angle, then it has 90 degrees.

c)

An angle is a right angle if and only if it has 90 degrees.

55.

Rewrite the following statement as a biconditional: "Supplementary angles add up to 180"

a)

If two angles add up to 180^o then they are supplementary.

b)

You can't it is conditional.

c)

Two angles are supplementary if and only if the sum of the measure of the two angles is 180^o.

d)

If two angles sum does not equal 180^othen they are notsupplementary.

Unit 1 Review in Geometry Basics

Total questions: 55

Worksheet time: 14hrs 45mins

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