(01.03 LC) When constructing an equilateral triangle, what step comes after six arcs are created on the circle?

(02.02 MC) Ben performed a transformation on trapezoid PQRS to create P′Q′R′S′, as shown in the figure below: What transformation did Ben perform to create P′Q′R′S′?

(02.04 MC) Tamara is writing statements to prove that the sum of the measures of interior angles of triangle PQR is equal to 180°. Line m is parallel to line n. Which is a true statement she could write?

(02.01 HC) Triangle END is reflected across the line y = x using the rule (x, y) → (y, x) to create triangle E′N′D′. If a line segment is drawn from point E to point E′, which statement would best describe the line segment drawn in relation to the line y = x?

(01.01 LC) Which of the following is the set of all points in a plane that are a given distance from a point?

(01.03 MC) Which step is the same in the construction of parallel lines and the construction of a perpendicular line through a point on the line?

(01.03 MC) An architect plans to make a drawing of the room of a house. The segment LM represents the floor of the room. He wants to construct a line passing through Q and perpendicular to side LM to represent a wall of the room. 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 perpendicular line?

(02.06 MC) The figure below shows a quadrilateral ABCD. Sides AB and DC are congruent and parallel: A student wrote the following sentences to prove that quadrilateral ABCD is a parallelogram: Side AB is parallel to side DC, so the alternate interior angles, angle ABD and angle CDB, are congruent. Side AB is equal to side DC, and DB is the side common to triangles ABD and BCD. Therefore, the triangles ABD and CDB are congruent by SSS postulate. By CPCTC, angles DBC and BDA are congruent and sides AD and BC are congruent. Angle DBC and angle BDA form a pair of alternate interior angles. Therefore, AD is congruent and parallel to BC. Quadrilateral ABCD is a parallelogram because its opposite sides are equal and parallel. Which statement best describes a flaw in the student’s proof?

(01.01 LC) Which of the following terms is defined as a set of all points in a plane that are a given distance from a point?

(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.