Blog

(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?

(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?