(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?
(02.01 MC) Triangle PAT has been reflected over the x-axis….
(02.01 MC) Triangle PAT has been reflected over the x-axis. Which of the following best describes the relationship between the x-axis and the line connecting P to P′?
(03.01 MC) Quadrilateral ABCD is dilated by a scale factor o…
(03.01 MC) Quadrilateral ABCD is dilated by a scale factor of centered around (1, 2). Which statement is true about the dilation?
(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?
(03.05 MC) Jolene is creating a model of a pyramid. The mode…
(03.05 MC) Jolene is creating a model of a pyramid. The model created will need to be scaled up from the blueprint. If segments DE and AB are parallel, which of the following expressions will help Jolene determine the length of segment AC?
(01.02 LC) Which of these is a correct step in constructing…
(01.02 LC) Which of these is a correct step in constructing congruent angles?
(02.03 MC) Angle I = 20 degrees, side HI = 5, angle L = 20…
(02.03 MC) Angle I = 20 degrees, side HI = 5, angle L = 20 degrees, and side KL = 5. What additional information would you need to prove that ΔHIJ ≅ ΔKLM by SAS?
(01.01 LC) Which of the following terms is defined as a set…
(01.01 LC) Which of the following terms is defined as a set of all points in a plane that are a given distance from a point?
(02.06 LC) SQRT is a parallelogram. If m∠QST = 72°, which of…
(02.06 LC) SQRT is a parallelogram. If m∠QST = 72°, which of the following statements is true?
(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 ?