(01.07 MC) Fill in the missing statement and reason in the…

(01.07 MC) Fill in the missing statement and reason in the proof of the corresponding angles theorem. It is given that is parallel to and points E, G, H, and F are collinear. The measure of ∠EGF is 180°, by the definition of a straight angle. ∠AGE and ∠AGF are adjacent, so the measure of ∠AGE plus the measure of ∠AGF equals the measure of ∠EGF, by the Angle Addition Postulate. Then, substituting for the measure of ∠EGF it can be said that the measure of ∠AGE plus the measure of ∠AGF equals 180°. ________, so the measure of ∠CHE plus the measure of ∠AGF equals 180°. Substituting once again means that the measure of ∠AGE plus the measure of ∠AGF equals the measure of ∠CHE plus the measure of ∠AGF. The measure of ∠AGE is equal to the measure of ∠CHE ________. Finally, by the definition of congruence, ∠AGE is congruent to ∠CHE.

(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?