Quiz about Geometric Constructions Intro

Question 1

The given diagram is what kind of construction?

Accepted Answer

Congruent angles

Answer

Perpendicular bisector

Answer

Angle bisector

Answer

Congruent line segments

Question 2

What is being constructed in the figure?

Accepted Answer

the line perpendicular to line m through a point on the line

Answer

the perpendicular bisector of line m

Answer

the line parallel to line m through a point NOT on the line

Answer

an angle that has line m as its bisector

Question 3

What was duplicated?

Accepted Answer

line segment

Answer

line

Answer

ray

Answer

angle

Question 4

What type of construction do you see?

Accepted Answer

perpendicular bisector

Answer

midpoint

Answer

angle bisector

Answer

altitude

Question 5

Which of the following constructions is illustrated?

Accepted Answer

The bisector of a given angle

Answer

An angle is congruent to a given angle

Answer

The bisector of a given segment

Answer

The perpendicular bisector of a given segment.

Question 6

Which one is the correct construction for a perpendicular bisector?

Accepted Answer

1

Answer

2

Answer

3

Answer

4

Question 7

What must be true?

Accepted Answer

2

Answer

1

Answer

3

Answer

4

Question 8

Select the best answer choice.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 9

What is this construction?

Accepted Answer

Perpendicular Line Through Point On Line

Answer

Perpendicular Bisector

Answer

Perpendicular Through Point Not On Line

Answer

Parallel Line Though Given Point

Question 10

Name the construction.

Accepted Answer

Angle bisector

Answer

Perpendicular line to a point not on a line

Answer

Angle median

Answer

Perpendicular bisector of a line segment

Question 11

This construction forms a __________.

Accepted Answer

Perpendicular Line

Answer

Perpendicular Bisector

Answer

A lowercase "t" flipped to the side

Answer

Line Segment

Question 12

The picture represents a compass and straightedge construction of _________?

Accepted Answer

Copy an angle

Answer

Bisect an angle

Answer

Copy a line segment

Answer

Bisect a line segment

Question 13

Name the construction.

Accepted Answer

Perpendicular bisector of a line segment

Answer

Angle bisector

Answer

Perpendicular line to a point not on a line

Answer

Perpendicular line to a point on the line

Question 14

Question 14.

Accepted Answer

4

Answer

1

Answer

2

Answer

3

Question 15

Based on the construction, which conclusion is not always true?

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 16

Question 16.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 17

Select the best answer choice.

Accepted Answer

G

Answer

F

Answer

H

Answer

J

Question 18

Select the best answer choice.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 19

Select the best answer choice.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 20

Select the best answer choice.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 21

When copying line segment AB using a straight edge and a compass, the compass should be used to:

Accepted Answer

Measure the length of segment AB

Answer

Draw an arc above point A

Answer

Draw an arc between point A and point B

Answer

Measure half the length of line segment AB

Question 22

Name the construction.

Accepted Answer

perpendicular through a point NOT on the line

Answer

midpoint

Answer

perpendicular through a point on the line

Answer

Circumcenter of a right triangle

Question 23

What type of construction is illustrated in the diagram?

Accepted Answer

Bisection of angle D

Answer

Angle congruent to angle D

Answer

Line segment congruent to AD

Answer

Angle congruent to angle D

Question 24

Line segment AB is shown in the diagram. Which two sets of construction marks, labeled I, II , III, and IV,are part of the construction of the perpendicular bisector of line segment AB?

Accepted Answer

I and III

Answer

I and II

Answer

II and III

Answer

II and IV

Question 25

This picture represents a...

Accepted Answer

not a full construction, an important step is missing

Answer

construction of a perpendicular bisector

Answer

construction of a midpoint

Answer

construction of parallel lines

Question 26

Name the construction.

Accepted Answer

equilateral triangle

Answer

isosceles triangle

Answer

bisect an angle

Answer

Circumcenter of an acute triangle

Question 27

Cody is constructing a line perpendicular to line  from point . Which of the following should be his first step?

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 28

Given the diagram, what is the first step in bisecting angle ADB?

Accepted Answer

Arc 2

Answer

Arc 1

Answer

Arc 3

Answer

Ray 4

Question 29

Select the best answer choice.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 30

What kind of construction is displayed in this picture?

Accepted Answer

A hexagon inscribed in a circle

Answer

A circle inscribed in a hexagon

Answer

A hexagon

Answer

A circle

Question 31

As shown in the diagram below of triangle ABC, a compass is used to find points D and E, equidistant from point A. Next, the compass is used to find point F, equidistant from points D and E. Finally, a straight-edge is used to draw ray AF. Then, point G, the intersection of ray AF and side BC of triangle ABC, is labeled. Which statement must be true?

Accepted Answer

Ray AF bisects <BAC

Answer

Ray AF bisects side BC

Answer

Ray AF is perpendicular to BC

Answer

Triangle ABG ~ Triangle ACG

Question 32

Based on the construction below, which statement must be true?

Accepted Answer

m<ABD = m<CBD

Answer

m<ABD = 1/2 m<CBD

Answer

m<ABD = m<ABC

Answer

m<CBD = 1/2 m<ABD

Question 33

Suppose we wish to construct a perpendicular bisector of line segment EF. We can correctly begin by placing the compass point on E and marking off the distance to which point?

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 34

Suppose we wish to construct angle EFG congruent to angle DBC using a compass and straightedge. Which step would be correct to do first?

Accepted Answer

Place the compass point at B

Answer

Place the compass point at C

Answer

Place the straightedge along A and C

Answer

Place the straightedge along C and D

Question 35

Question 35.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 36

Question 36.

Accepted Answer

3

Answer

1

Answer

2

Answer

4

Question 37

Question 37.

Accepted Answer

4

Answer

1

Answer

2

Answer

3

Question 38

Question 38.

Accepted Answer

3

Answer

1

Answer

2

Answer

4

Geometric Constructions Intro

38 questions

The given diagram is what kind of construction?

What is being constructed in the figure?

What was duplicated?

What type of construction do you see?

Which of the following constructions is illustrated?

Which one is the correct construction for a perpendicular bisector?

What must be true?

Select the best answer choice.

What is this construction?

Name the construction.

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