(01.07 MC) Greg is constructing a fence that consists of pa…

(01.07 MC) Greg is constructing a fence that consists of parallel sides and . Complete the proof to explain how he can show that m∠FAC = 121° by finding the missing justifications.   Statement Justification ∥ m∠ECG = 121° Given m∠ECG + m∠ECA = 180° Linear Pair Postulate m∠FAC + m∠ECA = 180° 1. m∠ECG + m∠ECA = m∠FAC + m∠ECA Transitive Property m∠ECG = m∠FAC Subtraction Property m∠FAC = m∠ECG Symmetric Property m∠FAC = 121° 2.

(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 Alternate Exterior Angles Theorem. It is given that is parallel to and points E, G, H, and F are collinear. ________ by the Vertical Angles Theorem. ∠AGF and ∠CHF are corresponding and congruent according to the Corresponding Angles Theorem. Finally, ∠EGB and ∠CHF are congruent by the ________.

(01.02 MC) Some steps to construct an angle MNT congruent to…

(01.02 MC) Some steps to construct an angle MNT congruent to angle PQR are listed below. Step 1: Draw a segment NT.Step 2: Use a compass to draw an arc from point Q that intersects the side PQ of angle PQR at point A and the side QR at point B.Step 3:Step 4: Adjust the width of the compass to AB, and draw an arc from point X such that it intersects the arc drawn from N in a point Y.Step 5: Join points N and Y using a straightedge. Which statement describes step 3 correctly?