Quiz about Big Ideas Geometry Midterm Review

Question 1

Which geometric principle is used to justify the construction?

Accepted Answer

When two lines are intersected by a transversal and the corresponding angles are congruent, the lines are parallel.

Answer

A line perpendicular to one of two parallel lines is perpendicular to the other.

Answer

Two lines are perpendicular if they intersect to form congruent adjacent angles.

Answer

When two lines are intersected by a transversal and alternate interior angles are congruent, the lines are parallel.

Question 2

What is the measure of angle b?

Accepted Answer

36o

Answer

56o

Answer

63o

Answer

117o

Question 3

Tina wants to sew a piece of fabric into a scarf in the shape of an isosceles triangle, as shown in the accompanying diagram.

What are the values of x and y?

Accepted Answer

x = 96 and y = 42

Answer

x = 42 and y = 96

Answer

x = 69 and y = 69

Answer

x = 90 and y = 48

Question 4

State if the triangles are congruent. If they are, state how you know.

Accepted Answer

SAS

Answer

ASA

Answer

AAS

Answer

Not Congruent

Question 5

State if the triangles are congruent. If they are, state how you know.

Accepted Answer

Not Congruent

Answer

SSS

Answer

AAS

Answer

AA

Question 6

State if the triangles are congruent. If they are, state how you know.

Accepted Answer

Not Congruent

Answer

ASA

Answer

SAS

Answer

AAS

Question 7

Describe the angle relationship.

Accepted Answer

Alternate Interior

Answer

Same Side Interior

Answer

Corresponding

Answer

Alternate Exterior

Question 8

Describe the angle relationship.

Accepted Answer

Corresponding

Answer

Same Side Interior

Answer

Alternate Interior

Answer

Same Side Exterior

Question 9

Converse of the statement: If p, then q.

Accepted Answer

If q, then p.

Answer

If p, then q.

Answer

If ~ (not) p, then ~ (not) q.

Answer

If ~ (not) q, then ~ (not) p.

Question 10

Inverse of the statement: If p, then q.

Accepted Answer

If ~ (not) q, then ~ (not) p.

Answer

If p, then q.

Answer

If q, then p.

Answer

If ~ (not) p, then ~ (not) q.

Question 11

Contrapositive of the statement: If p, then q.

Accepted Answer

If ~ (not) p, then ~ (not) q.

Answer

If p, then q.

Answer

If q, then p.

Answer

If ~ (not) q, then ~ (not) p.

Question 12

Two lines that do not intersect and are not parallel

Accepted Answer

Skew lines

Answer

Perpendicular lines

Answer

Transversals

Answer

Parallel lines

Question 13

What is the midpoint formula?

Accepted Answer

$$\left(\frac{x^1+x^2}{2},\frac{y^1+y^2}{2}\right)$$

Answer

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

Answer

$$y-y_1=m\left(x-x_2\right)$$

Answer

$$m=\frac{y_2-y_1}{x_2-x_1}$$

Question 14

The point where the three altitudes of a triangle intersect

Accepted Answer

Orthocenter

Answer

Centroid

Answer

Circumcenter

Answer

Incenter

Question 15

The point where the three perpendicular bisectors of the sides of a triangle meet

Accepted Answer

Circumcenter

Answer

Centroid

Answer

Orthocenter

Answer

Incenter

Question 16

A line segment joining a vertex to the midpoint of the opposite side

Accepted Answer

median

Answer

altitude

Answer

angle bisector

Answer

perpendicular bisector

Question 17

What is the measure of angle b?

Accepted Answer

36o

Answer

56o

Answer

63o

Answer

117o

Question 18

Question 18.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 19

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

Accepted Answer

(5, -3)

Answer

(5, -2)

Answer

(10, -6)

Answer

(2, -2)

Question 20

What is the value of x?

Accepted Answer

14

Answer

60

Answer

26

Answer

10

Question 21

A rectangular garden has the dimensions of 13 ft. by 10 ft. If you were to walk from the bottom left corner of the garden to the top right corner, how far would it be? Round your answer to the nearest tenth.

Accepted Answer

16.4

Answer

14.1

Answer

12.5

Answer

15

Question 22

Find the length of DE

Accepted Answer

11

Answer

12

Answer

10

Answer

13

Question 23

Tell whether the angles are complementary or supplementary. Then find the value of x.

Accepted Answer

Complementary; x=5

Answer

Complementary; x=25

Answer

Supplementary; x=25

Answer

Supplementary; x=5

Question 24

Let B be between A and C.

Accepted Answer

7

Answer

24

Answer

13

Answer

14

Question 25

Use the image to answer the question.

Accepted Answer

SSA

Answer

SSS

Answer

ASA

Answer

SAS

Question 26

Use the image to answer the question.

Accepted Answer

117

Answer

63

Answer

27

Answer

153

Question 27

Name the property of equality or congruence that justifies going from the first statement to the second statement.

Accepted Answer

Distributive Property

Answer

Associative Property

Answer

Commutative Property

Answer

Combine Like Terms

Question 28

Name the property of equality or congruence that justifies going from the first statement to the second statement.

Accepted Answer

Symmetric Property of Congruence

Answer

Reflexive Property of Equality

Answer

Symmetric Property of Equality

Answer

Reflexive Property of Congruence

Question 29

What is the REASON for Statement #1?

Accepted Answer

Given

Answer

Definition of Complementary Angles

Answer

Substitution Property

Answer

Reflexive Property of Congruence

Question 30

What is the REASON for Statement #2?

Accepted Answer

Definition of Complementary Angles

Answer

Given

Answer

Substitution Property

Answer

Reflexive Property of Congruence

Question 31

What is the REASON for Statement #3?

Accepted Answer

Substitution Property

Answer

Given

Answer

Definition of Complementary Angles

Answer

Reflexive Property of Congruence

Question 32

What is the REASON for Statement #4?

Accepted Answer

Combine Like Terms

Answer

Substitution Property

Answer

Distributive Property

Answer

Transitive Property

Question 33

What is the REASON for Statement #5?

Accepted Answer

Subtraction Property of Equality

Answer

Addition Property of Equality

Answer

Multiplication Property of Equality

Answer

Division Property of Equality

Question 34

What is the REASON for Statement #6?

Accepted Answer

Division Property of Equality

Answer

Addition Property of Equality

Answer

Subtraction Property of Equality

Answer

Multiplication Property of Equality

Big Ideas Geometry Midterm Review

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