Application with Parallel Lines Cut by a Transversal

If two angles are corresponding with parallel lines and one angle measures 60 degrees, what is the measure of the other angle?

• 60

• 120

• 90

• 30

Tags

CCSS.MATH.CONTENT.HSG.CO.C.9

What is the relationship between corresponding angles and parallel lines?

• If two lines are cut by a transversal and the corresponding angles are congruent, then the lines are parallel.

• If two lines are cut by a transversal and the corresponding angles are not congruent, then the lines are parallel.

• There is no relationship between corresponding angles and parallel lines.

• If two lines are cut by a transversal and the corresponding angles are supplementary, then the lines are parallel.

Tags

CCSS.MATH.CONTENT.HSG.CO.C.9

What is the definition of corresponding angles?

• Pairs of angles that are on opposite sides of the transversal.

• Pairs of angles that are in the same relative position at the intersection of two lines and on the same side of the transversal.

• Pairs of angles that are formed by parallel lines and a transversal.

• Pairs of angles that are adjacent to each other.

Tags

CCSS.MATH.CONTENT.HSG.CO.C.9

State one property of corresponding angles.

• They are located in different positions on the two lines.

• They are located on opposite sides of the transversal.

• They are not related to each other.

• They are located in the same position on the two lines, on the same side of the transversal.

Tags

CCSS.MATH.CONTENT.HSG.CO.C.9

If line a is parallel to line b, then which statement is best matches the angles?

• 8x - 17 + 5x +19 = 180 because "if ll lines, then consecutive interior angles are supplementary".

• 8x - 17 = 5x + 19 because "if ll lines, then alternate interior angles are equal".

• 8x - 17 = 5x +19 because "if ll lines, then corresponding angles are equal".

Supplementary Angles

• Def of Supplementary Angles

• Def of Linear Pair

• Linear Pair Postulate

• Congruent Supplements Thm

Lines L and M are parallel. Find x.

TYPE THE NUMBER ONLY.

Which statements are true? Select all that apply.

• Vertically Opposite Angles are congruent

• Corresponding Angles are Supplementary

• Co-Interior Angles are Supplementary

• Alternate Angles are Congruent

• Linear Pair of Angles are Supplementary

If m∠n = 113^o, then m∠s =

• 180^o

• 90^o

• 67^o

• 113^o

If it is given that the indicated lines are parallel and that segment SF bisects ∠TSE, select ALL correct statements that could be used.

• ∠1 ≅ ∠5 by the corresponding angles postulate

• ∠2 ≅ ∠4 by the alternate interior angles theorem

• ∠1 ≅ ∠2 by the definition of an angle bisector

• ∠3 and ∠5 are supplementary by the consecutive interior angles theorem