Fall 24 Final Exam Review Part 2

Examine the pairs of triangles. Which pair of triangles can be proved congruent by SSS?

• A

• B

• C

• D

Which of the following pairs of triangles can be proven congruent by SAS?

• Choices A,B,C

• Choices B,C,D

• Choices A,C,D

• Choice A Only

Which additional information do you need to prove that ΔLMP ≅ ΔSMQ by SAS? 

• ∠L≅∠S
  

• LP≅SQ
  

• ∠P≅∠Q
  

• LM≅SM

Parallel lines cut by a transversal form special angle pair relationships. Which statement is true about the measure of angle x?

• m∠x = 72° because alternate interior angles are congruent.

• m∠x = 72° because corresponding angles are congruent. 

• m∠x = 72° because same side exterior angles are supplementary.

• m∠x = 72° vertical angles are congruent. 

Part A

Which lines are parallel if ∠3 and ∠5 are congruent?

• c ∥ d

• a ∥ b

• a ∥ c

• b ∥ c

Part B

Which theorem will justify your answer in Part A?

• Same side interior angles of parallel lines cut by a transversal are supplementary.

• Same side exterior angles of parallel lines cut by a transversal are supplementary.

• Alternate interior angels of parallel lines cut by a transversal are congruent.

• Alternate exterior angles of parallel lines cut by a transversal are congruent.

In the diagram, two measures of angles are given in algebraic form. Which statement is true about angle 1?

• The measure of ∠1 is 28.125°.

• The measure of ∠1 is 67.5°.

• The measure of ∠1 is 112.5°.

• The measure of ∠1 cannot be determined.

Josh’s classmate says that AD ∥ BC based on the diagram shown. Which of the following justifies his claim?

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

• If two lines and a transversal form alternate interior angles that are congruent, then the lines are parallel.

• If two lines and a transversal form same side interior angles that are supplementary, then the lines are parallel.

• If two lines and a transversal form alternate exterior angles that are congruent, then the lines are parallel.

Mr. Haynes posted his assignment on the board. What is the value of ∠ACB?

• 30

• 35

• 40

• 50

The proof of the converse of the Same Side Interior Angles Theorem is shown below.

• Given: m∠3 + m∠4 = 180

• Prove: a ∥ b

• Which of the following reasons will justify statement 3?

• Transitive Property of Equality

• Addition Property of Equality

• Reflexive Property of Equality

• Distributive Property