(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 Interior Angles Theorem. It is given that is parallel to and points E, G, H, and F are collinear. ∠AGF and ∠EGB are vertical and congruent by the Vertical Angles Theorem. ∠EGB and ∠EHD are congruent according to the ________. Finally, ________ by the Transitive Property of Equality.

(01.03 MC) An architect plans to draw a rectangular patio, w…

(01.03 MC) An architect plans to draw a rectangular patio, with segment LM representing one side of the rectangle. He wants to construct a line passing through Q and parallel to side LM. He uses a straightedge and compass to complete some steps of the construction, as shown below: Which of these is likely to be his next step in constructing the parallel line?

(02.06 MC) Look at the quadrilateral shown below: Melissa…

(02.06 MC) Look at the quadrilateral shown below: Melissa writes the following proof for the theorem: If the diagonals of a quadrilateral bisect each other, the quadrilateral is a parallelogram: Melissa’s proof For triangles AOB and COD, angle 1 is equal to angle 2, as they are vertical angles. AO = OC and BO = OD because it is given that diagonals bisect each other. The ________ are congruent by SAS postulate. Similarly, triangles AOD and COB are congruent. By CPCTC, AB is equal to DC. By CPCTC, AD is equal to BC. As the opposite sides are congruent, the quadrilateral ABCD is a parallelogram. Which is the missing phrase in Melissa’s proof?