Geometry Quiz: Perpendicular Lines and Proofs

What is the distance from point A to line XZ? Round to the nearest tenth.

• 7.2 units

• 9.1 units

• 5.7 units

• 3.5 units

Which construction tools are used to construct a line perpendicular to a given line m through a given point P?

• Calculator

• Ruler

• Protractor

• Compass and straightedge

Tags

CCSS.HSG.CO.B.6

What theorem states that if two lines intersect to form a linear pair of congruent angles, then the lines are perpendicular?

• Lines Perpendicular to a Transversal Theorem

• Perpendicular Transversal Theorem

• Linear Pair Perpendicular Theorem

• Alternate Exterior Angles Theorem

Tags

CCSS.HSG.GPE.B.5

In the given diagram, which lines must be parallel?

• b and a

• c and d

• p and q

• k and m

Tags

CCSS.8.G.A.5

What is the measure of the other angle if one angle in a linear pair is 77°?

• 90°

• 77°

• 103°

• 180°

Tags

CCSS.7.G.B.5

Which construction method is used to construct the perpendicular bisector of line AB?

• The same one as finding the midpoint of a segment

• The same one as copying an angle

• The same one as creating a parallel line

• The same one as finding the bisector of an angle

Tags

CCSS.HSG.CO.D.12

What is the distance from point W to line YZ?

• 3.2 units

• 7.8 units

• 5.2 units

• 6.5 units

Tags

CCSS.HSG.CO.C.10

What is the slope of the line that passes through (-4, 3) and (6, 8)?

• 2.0

• 1.5

• 1.0

• 0.5

Tags

CCSS.8.EE.B.6

CCSS.8.F.B.4

CCSS.8.SP.A.3

What is the measure of the angle formed by the intersection of lines m and n, if the lines are perpendicular?

• 45°

• 90°

• 180°

• 60°

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

Which is a valid step used to construct a line parallel to a given line m through a given point P?

• Draw a line through the point that intersects with the original line

• Carefully guess at a second point on the line perpendicular to the original line

• Using a ruler, measure the distance from the point to the line

• Using a protractor, copy the angle formed by the line through the point and the original line.

Tags

CCSS.HSG.CO.A.5

CCSS.HSG.CO.D.12