CASE Quiz - Part 2

A landscaper determines the number of stone pavers needed to create a patio. Which is least likely to affect the number of stone pavers needed?

• the length of the patio

• the surface area of each stone paver

• the weight of each stone paver

• the width of the patio

The formula for the rate at which a snail crawls is R = D/t, where R is the rate, D is the distance, in centimeters, and t is the amount of time, in minutes. What are the most appropriate units for the rate at which the snail crawls?

• centimeters/hour

• millimeters/hour

• centimeters/minute

• millimeters/minute

Consider square JKLM. If square JKLM undergoes a dilation about point J by a scale factor of 3.5 to form square J'K'L'M', which statement is true?

• L'M' passes through the origin.

• L'M' is perpendicular to LM.

• J'K' passes through the origin.

• J'K' is parallel to JK.

Consider △XYZ, where line l intersects △XYZ at vertex Y and is parallel to XZ. Consider a student’s claims. • Alternate interior angles are congruent, so ∠1 ≅ ∠4, and ∠3 ≅ ∠5. • A straight line has a measure of 180°, so m∠4 + m∠2 + m∠5 = 180°. Which statement can be concluded based on the student’s claims?

• A. m∠1 = m∠2 = m∠3

• B. m∠1 = m∠3 and m∠4 = m∠5

• C. m∠1 + m∠2 + m∠3 = 180°

• D. m∠1 + m∠3 + m∠5 = 180°

Consider the construction a student makes using a straightedge and compass. What is the student most likely constructing?

• an angle with vertex Q

• a perpendicular bisector of segment PQ

• a line parallel to segment PQ

• a copy of segment PQ

A parallelogram is graphed on the coordinate plane. Which two sequences of transformations will preserve the angle measures of the parallelogram?

• a 180° clockwise rotation about the origin followed by a reflection across the x-axis

• a 180° clockwise rotation about the origin followed by a vertical stretch by a factor of 3

• a dilation by a scale factor of 2/3 about the origin followed by a reflection across the y-axis

• a horizontal stretch by a factor of 3.5 followed by a reflection across the x-axis

• a vertical stretch by a factor of 5 followed by a translation 5 units left

On a coordinate plane, a student transforms triangle UVW to create triangle XYZ. Consider the student’s findings. • UV ≅ XY and VW ≅ YZ • ∠V ≅ ∠Y Which reasoning for why △UVW ≅ △XYZ is correct?

• The student finds that two pairs of corresponding angles and the included side are all congruent, so there must be Angle-Side-Side congruency.

• The student finds that two pairs of corresponding angles and the included side are all congruent, so there must be Side-Angle-Side congruency.

• The student finds that two pairs of corresponding sides and the included angle are all congruent, so there must be Angle-Side-Side congruency.

• The student finds that two pairs of corresponding sides and the included angle are all congruent, so there must be Side-Angle-Side congruency.

What is the equation of the line that is perpendicular to -3x + y = -10 and passes through the point (3, 4)?

• y = -1/3x - 13

• y = -1/3x + 5

• y = 1/3x - 13

• y = 1/3x + 5

Consider the image, where MN || PQ, RM = 12 centimeters, MN = 16 centimeters, RN = 18 centimeters, and RQ = 6 centimeters. If △RMN ~ △RPQ, what is the length of the line segment RP?

• 4.0 centimeters

• 5.3 centimeters

• 6.0 centimeters

• 8.0 centimeters

A washing machine has a cylindrical drum with a cylindrical agitator in the center of the drum. The heights of the drum and the agitator are both 25 inches, and the radius of the drum is 10 inches, while the radius of the agitator is 2.5 inches. Approximately how much empty space remains inside the drum but outside the agitator?

• 4,417.9 cubic inches

• 7,363.1 cubic inches

• 8,344.9 cubic inches

• 12,271.8 cubic inches