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(03.02 MC) Decide whether the triangles are similar. If so, determine the appropriate expression to solve for x.

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

(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?

(02.01, 02.02 MC) Which sequence of transformations will map figure K onto figure K′?

(01.02 LC) Lara constructed and then used a compass and straightedge to accurately construct line segment OS, as shown in the figure below: Which could be the measures of angle POS and angle POQ?

(01.02 MC) Dan uses a compass to draw an arc from Q as shown. He 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?

(03.05, 03.06 MC) Look at the figure shown below: Dora is writing statements as shown below to prove that if segment ST is parallel to segment RQ, then x = 12:   Statement Reason 1. Segment ST is parallel to segment QR. Given 2. Angle QRT is congruent to angle STP. Corresponding angles formed by parallel lines and their transversal are congruent. 3. Angle SPT is congruent to angle QPR. Reflexive property of angles 4. Triangle SPT is similar to triangle QPR. Angle-Angle Similarity Postulate 5. ? Corresponding sides of similar triangles are in proportion. Which equation can she use as statement 5?

(01.01 LC) Which of the following is part of a line that has two endpoints?

(01.03 MC) Layla 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?

(02.04 MC) ABC is a right triangle. Point D is the midpoint of side AB, and point E is the midpoint of side AC. The measure of angle ADE is 47°. The following flowchart with missing statements and reasons proves that the measure of angle ECB is 43°: Which statement and reason can be used to fill in the numbered blank spaces?