(01.07 MC) Janet is designing a frame for a client. She want…

(01.07 MC) Janet is designing a frame for a client. She wants to prove to her client that m∠AGE ≅ m∠CHE in her sketch. What is the missing justification in the proof?   Statement Justification with transversal Given m∠AGE ≅ m∠HGB Vertical Angles Theorem m∠HGB ≅ m∠CHE Alternate Interior Angles Theorem m∠AGE ≅ m∠CHE  

(02.04 MC) Below is a two-column proof incorrectly proving t…

(02.04 MC) Below is a two-column proof incorrectly proving that the three angles of ΔPQR add up to 180°:   Statements Reasons ∠QRY ≅ ∠PQR Alternate Interior Angles Theorem Draw line ZY parallel to Construction m∠ZRP + m∠PRQ + m∠QRY = m∠ZRY Angle Addition Postulate ∠ZRP ≅ ∠RPQ Alternate Interior Angles Theorem m∠RPQ + m∠PRQ + m∠PQR = m∠ZRY Substitution m∠ZRY = 180° Definition of a Straight Angle m∠RPQ + m∠PRQ + m∠PQR = 180° Substitution Which statement will accurately correct the two-column proof?

(02.06 MC) In quadrilateral ABCD, the diagonals intersect at…

(02.06 MC) In quadrilateral ABCD, the diagonals intersect at point T. Thomas has used the Alternate Interior Angles Theorem to show that angle ADB is congruent to angle DBC and that angle DBA is congruent to angle BDC. Which of the following can Thomas use to prove that side AB is equal to side DC?