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(02.03 MC) Angle N = 40 degrees, side NP = 8, angle Q = 40 degrees, and side QS = 8. What additional information would you need to prove that ΔNOP ≅ ΔQRS by ASA?

(02.03 MC) Peter reflected trapezoid ABCD across the y-axis. If angle A is 115° and angle B is 65°, what is the degree measurement of angle A′?

(02.03 MC) Triangle HIJ has been reflected to create triangle H′I′J′. Segment HJ = H′J′ = 4, segment IJ = I′J′ = 7, and angles J and J′ are both 32 degrees. Which postulate below would prove the two triangles are congruent?

(02.04 HC) C is the circumcenter of isosceles triangle ABD with vertex angle ∠ABD. Does the following proof correctly justify that triangles ABE and DBE are congruent? It is given that triangle ABD is an isosceles triangle, so segments AB and DB are congruent by the definition of isosceles triangle. It is given that C is the circumcenter of triangle ABD, making segment BE a median. By the definition of perpendicular, angles AEB and DEB are 90°, so triangles ABE and DEB are right triangles. Triangles ABE and DEB share side BE making it congruent to itself by the reflexive property. Triangles ABE and DBE are congruent by HL.

(02.01 HC) Triangle JOY is translated using the rule (x, y) → (x + 3, y − 2) to create triangle J′O′Y′. If a line segment is drawn from point J to point J′ and from point O to point O′, which statement would best describe the line segments drawn in relation to one another?

(02.04 MC) Charlotte 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?

(01.03 MC) Stella is using her compass and straightedge to complete construction of a polygon inscribed in a circle. Which polygon is she in the process of constructing?

(01.02 MC) Alex wants to construct a line segment through R that makes the same angle with as . The figure below shows a step to construct a congruent angle at R: Which figure shows the next step to construct a congruent angle at R?

(01.02 MC) Which of the following is the final step in copying an angle?

(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 1 in. Will he be able to create the triangular component with these toothpicks without modifying any of the lengths?