Name: ________________________
Period:____________ Date:______________
Constructions Quiz
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
____
1 Based on the construction below, which statement must be true?
1
m∠CBD
2
1)
m∠ABD =
2)
m∠ABD = m∠CBD
3)
m∠ABD = m∠ABC
4)
m∠CBD =
1
m∠ABD
2
2 Which diagram shows the construction of the perpendicular bisector of AB?
1)
3)
2)
4)
1
Name: ________________________
____
Period:____________ Date:______________
3 Which geometric principle is used to justify the construction below?
1)
2)
3)
4)
A line perpendicular to one of two parallel lines is perpendicular to the other.
Two lines are perpendicular if they intersect to form congruent adjacent angles.
When two lines are intersected by a transversal and alternate interior angles are
congruent, the lines are parallel.
When two lines are intersected by a transversal and the corresponding angles are
congruent, the lines are parallel.
Short Answer
4 Using a compass and straightedge, construct the angle bisector of ∠ABC shown below. [Leave all
construction marks.]
5 Using a compass and straightedge, construct the perpendicular bisector of AB shown below. Show all
construction marks.
2
Name: ________________________
Period:____________ Date:______________
Constructions Quiz
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1 Based on the construction below, which statement must be true?
1)
2)
____
1
m∠ABD
2
1
m∠ABD = m∠CBD
2
m∠CBD =
3)
m∠ABD = m∠ABC
4)
m∠ABD = m∠CBD
2 Which diagram shows the construction of the perpendicular bisector of AB?
1)
3)
2)
4)
1
Name: ________________________
____
Period:____________ Date:______________
3 Which geometric principle is used to justify the construction below?
1)
2)
3)
4)
Two lines are perpendicular if they intersect to form congruent adjacent angles.
When two lines are intersected by a transversal and the corresponding angles are
congruent, the lines are parallel.
When two lines are intersected by a transversal and alternate interior angles are
congruent, the lines are parallel.
A line perpendicular to one of two parallel lines is perpendicular to the other.
Short Answer
4 Using a compass and straightedge, construct the angle bisector of ∠ABC shown below. [Leave all
construction marks.]
5 Using a compass and straightedge, construct the perpendicular bisector of AB shown below. Show all
construction marks.
2
Name: ________________________
Period:____________ Date:______________
Constructions Quiz
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
____
1 Based on the construction below, which statement must be true?
1)
m∠ABD = m∠CBD
3)
2)
m∠ABD = m∠ABC
4)
1
m∠CBD
2
1
m∠CBD = m∠ABD
2
m∠ABD =
2 Which diagram shows the construction of the perpendicular bisector of AB?
1)
3)
2)
4)
1
Name: ________________________
____
Period:____________ Date:______________
3 Which geometric principle is used to justify the construction below?
1)
2)
3)
4)
When two lines are intersected by a transversal and alternate interior angles are
congruent, the lines are parallel.
When two lines are intersected by a transversal and the corresponding angles are
congruent, the lines are parallel.
Two lines are perpendicular if they intersect to form congruent adjacent angles.
A line perpendicular to one of two parallel lines is perpendicular to the other.
Short Answer
4 Using a compass and straightedge, construct the angle bisector of ∠ABC shown below. [Leave all
construction marks.]
5 Using a compass and straightedge, construct the perpendicular bisector of AB shown below. Show all
construction marks.
2