(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 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 ________.

(03.06 MC) Which statement is not used to prove that ΔFGH is similar to ΔFIJ?

(01.02 MC) Ben uses a compass and a straightedge to construct ∠DEF ≅ ∠ABC, as shown below: Which statement best explains why Ben uses the width BI to create the arc JK from point E?

(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?

(01.01 LC) Which of the following is a postulate?

(03.06 MC) If point E is the midpoint of and point D is the midpoint of , which expression represents the value of u?

(01.01 LC) Which of the following is a defined term?

(03.05 MC) Look at the figure below: What is the length, in units, of segment CD?

(02.06 MC) In quadrilateral ABCD, the diagonals intersect at point T. Jasmine has used the Alternate Interior Angles Theorem to show that angle DAC is congruent to angle BCA and that angle ADB is congruent to angle CBD. Which of the following can Jasmine use to prove that triangle ATD is congruent to triangle CTB?