(02.06 MC) Figure ABCD is a rhombus, and m∠BAE = 9x + 2 and m∠BAD = 130°. Solve for x.

(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?

(02.03 MC) A land surveyor places two stakes 500 ft apart and creates a perpendicular to the line that connects these two stakes. He needs to place a third stake 100 ft away that is equidistant to the two original stakes. To apply the Perpendicular Bisector Theorem, the land surveyor would need to identify

(01.02 MC) Naomi draws a portion of a figure as shown. She wants to construct a line segment through R that makes the same angle with as , as shown below: Which figure shows the next step to construct a congruent angle at R?

(02.06 MC) What conclusion can be made for c and e?

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

(02.03 MC) John translated parallelogram ABCD using the rule (x, y) → (x + 3, y − 2). If angle A is 110° and angle B is 70°, what is the degree measurement of angle A′?

(03.01 LC) is dilated from the origin to create at D′ (0, 3) and F′ (2.25, 1.5). What scale factor was dilated by?

(02.03 LC) If ΔSTU ≅ ΔHIJ, then what corresponding parts 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.