LEAP Review Q20 - Q42

21. Question 21

22. Select all triangle congruence theorems that can be used to prove the two triangles congruent.

• SSS

• HL

• ASA

• SAS

• AAS

Tags

CCSS.HSG.SRT.B.5

22. Question 22

23. Rosa is proving this theorem: Angles supplementary to the same angle are congruent. Given: ∠1 and ∠3 are supplementary. ∠2 and ∠3 are supplementary. Prove: ∠1 ≅ ∠2. The table shows the statements and reasons for Rosa's proof, but they are out of order. What is the correct order for these statements and reasons?

• A. 3, 1, 5, 4, 2

• B. 3, 5, 2, 1, 4

• C. 3, 1, 5, 2, 4

• D. 3, 5, 1, 2, 4

Tags

CCSS.7.G.B.5

23. 23. Which reason should be added to the proof at the question mark? Type the letter of the reason into the blank.

• Congruence of angles is reflexive.

• Vertical angles are congruent.

• Corresponding angles are congruent.

• Alternate exterior angles are congruent.

• Congruence of angles is transitive.

Tags

CCSS.8.G.A.5

Question 24 Part A:

In the figure shown, ( CF ) intersects ( AD ) and ( EH ) at points ( B ) and ( F ), respectively. Use the information provided to answer Part A for question 5. Part A Given: ( ∠ CBD ≅ ∠ BFE ) Prove: ( ∠ ABF ≅ ∠ BFE ) Select from the reasons in the box to support each line of the proof. Statement: ( ∠ CBD ≅ ∠ BFE ) Reason: ________

• Given
• Definition of congruent angles

• Vertical angles are congruent

• Transitive property

Tags

CCSS.7.G.B.5

Q24: Part A (2nd blank)

Statement: ( ∠ CBD ≅ ∠ ABF ) Reason: ________

• Definition of congruent angles

• Vertical angles are congruent

• Reflexive property

• Transitive property

Tags

CCSS.7.G.B.5

Question 24 Part A (3rd blank)

Statement: ( ∠ ABF ≅ ∠ BFE ) Reason: ________

• Definition of congruent angles

• Vertical angles are congruent

• Reflexive property

• Transitive property

Tags

CCSS.7.G.B.5

Question 24 Part B Blank 1

Use the information provided to answer Question 24. Part B Given: ( m∠ CBD = m∠ BFE ) Prove: ( m∠ BFE + m∠ DBF = 180° ) Select from the reasons in the box to support each line of the proof. Statement: ( m∠ CBD = m∠ BFE ) Reason: ________

• Given
• Angles that form a linear pair are supplementary

• Angles that are adjacent are supplementary

• Substitution

Tags

CCSS.8.G.A.5

Question 24 PART B Blank 2

Statement: ( m∠ CBD + m∠ DBF = 180° ) Reason: ________

• Angles that form a linear pair are supplementary.

• Adjacent angles are supplementary

• Reflexive property

• Transitive property

Tags

CCSS.7.G.B.5

Question 26

Triangle ABC is graphed below. PART A: What are the coordinates for the midpoints of AB?

(a)  

Tags

CCSS.HSG.GPE.B.6

Question 27

Ethan is proving the Exterior Angle Theorem, which states that the measure of an exterior angle of a triangle is equal to the sum of the two remote interior angles. What statement should Ethan add at Step 5 to complete the proof? Given: Triangle ABC on line segment AD. Prove: m∠A + m∠B = m∠BCD.

• m∠BCA = m∠BCD

• m∠BCA < m∠BCD

• m∠BCA + m∠BCD = 90°

• m∠BCA + m∠BCD = 180°

Tags

CCSS.8.G.A.5