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(02.02 MC) Carlos performed a transformation on trapezoid EFGH to create E′F′G′H′, as shown in the figure below: What transformation did Carlos perform to create E′F′G′H′?

(02.04 MC) Jeremiah is working on a model bridge. He needs to create triangular components, and he plans to use toothpicks. He finds three toothpicks of lengths 4 in., 5 in., and 2 in. Will he be able to create the triangular component with these toothpicks without modifying any of the lengths?

(01.07 LC) What angle relationship describes angles BCE and CED?

(01.02 LC) Which of these is a correct step in constructing an angle bisector?

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

(01.06 MC) Kyle is creating a frame for a model car. He begins by piecing two rods together, as shown in the diagram. Justify why ∠AEC is a right angle.

(01.06 LC) Angles BAE and FAC are straight angles. What angle relationship best describes angles BAC and EAF?

(01.03 MC) Natalie is completing construction of an equilateral triangle inscribed in a circle, as shown below: What should be the next step in her construction?

(01.03 MC) Jaira is completing construction of a regular hexagon inscribed in a circle, as shown below: What should be the next step in her construction?

(01.02 MC) Ben uses a compass and a straightedge to bisect angle PQR, as shown below: Which statement best explains why Ben uses the same width to draw arcs from A and B that intersect at S?