Parallel Lines and Transversals Quiz

What is the measure of angle EBF if angle CBF is 42.5 degrees and triangle EBF is isosceles?

• 68.75 degrees

• 42.5 degrees

• 90 degrees

• 45 degrees

Which shape helps identify alternate interior angles in parallel lines?

• Triangle

• Square

• Z or backward Z

• Circle

Using the exterior angles theorem, what is the measure of angle ABC if angle FAB is 48 degrees and angle ECB is 18 degrees?

• 66 degrees

• 48 degrees

• 18 degrees

• 90 degrees

What theorem states that the sum of two interior angles of a triangle is equal to the exterior angle?

• Alternate Interior Angles Theorem

• Pythagorean Theorem

• Exterior Angles Theorem

• Corresponding Angles Postulate

If angle EGB is 50 degrees and angle GHI is 50 degrees, what can be concluded about lines AB and CD?

• They are skew

• They are parallel

• They are perpendicular

• They are intersecting

What is the measure of angle GHI if angle GIH is 65 degrees and angle HGI is 65 degrees?

• 65 degrees

• 130 degrees

• 50 degrees

• 180 degrees

Which theorem helps prove that two lines are parallel if corresponding angles are congruent?

• Corresponding Angles Postulate

• Alternate Interior Angles Theorem

• Isosceles Triangle Theorem

• Vertical Angles Theorem

If triangle DCA is similar to triangle BCF, and DC is 4, CA is 6, and CF is 15, what is the length of BC?

• 10

• 12

• 15

• 8

What is the ratio of DC to CA if DC is 4 and CA is 6?

• 2:3

• 3:2

• 4:6

• 1:1

How can you prove two triangles are similar?

• By showing they have the same area

• By showing they have equal side lengths

• By showing they have the same perimeter

• By showing they have equal corresponding angles