Applying Parallel Lines Cut by a Transversal

Find the measure of the angle indicated in bold (bottom right angle).

Mathematical Equivalence

ON

Solve for x.

• A

• B

• C

• D

Which statement about x is true?

• The value of x is 180, because the labeled angles in each diagram are supplementary.

• The value of x is 90, because the labeled angles in each diagram are complementary.

• The value of x is 44, because the sum of the measures of the labeled angles in each diagram is 180 degrees.

• The value of x is 136, because the labeled angles in each diagram are congruent.

Tags

8.8D

8.8.D

Label each angle that is congruent to 75 degrees.

Tags

8.8D

8.8.D

Q1. What is the definition of supplementary angles?

• A) Def of Supplementary Angles

• B) Def of Linear Pair

• C) Linear Pair Postulate

• D) Congruent Supplements Thm

Which of the following geometric statements justifies ∠RVM and ∠HMV are Congruent?

• If two parallel lines are intersected by a transversal, then consecutive exterior angles are complementary.

• If two parallel lines are intersected by a transversal, then alternate interior angles are congruent.

• If two parallel lines are intersected by a transversal, then alternate exterior angles are congruent.

• If two parallel lines are intersected by a transversal, then corresponding angles are complementary.

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".

Match the following

• .... congruent

• Corresponding angles are...

• ...... supplementary

• Consecutive Interior angles are....

• ..... congruent

• Vertical Angles are...

• ..... supplementary

• Alternate Exterior angles are....

• ..... supplementary

• A linear pair of angles are ....

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 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