(03.05, 03.06 MC) Look at the figure shown below: Nora is…

(03.05, 03.06 MC) Look at the figure shown below: Nora is writing statements as shown below to prove that if segment ST is parallel to segment RQ, then x = 45:   Statement Reason 1. Segment ST is parallel to segment RQ. Given 2. Angle QRS is congruent to angle TSP. Corresponding angles formed by parallel lines and their transversal are congruent. 3. Angle SPT is congruent to angle RPQ. Reflexive property of angles 4. Triangle SPT is similar to triangle RPQ. Angle-Angle Similarity Postulate 5. ? Corresponding sides of similar triangles are in proportion. Which equation can she use as statement 5?

(02.04 MC) Triangle ABC is a right triangle. Point D is the…

(02.04 MC) Triangle 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 68°. The following flowchart with missing statements and reasons proves that the measure of angle ECB is 22°: Which statement and reason can be used to fill in the numbered blank spaces?

(02.02 HC) Rectangle LMNO is translated using the rule (x, y…

(02.02 HC) Rectangle LMNO is translated using the rule (x, y) → (x + 2, y + 2) to create rectangle L’M’N’O’. If a line segment is drawn from point L to point L’ and from point O to point O’, which statement would best describe the relationship between and ?