Saturday Regents Review 2 ( Aug 2017)

The image of ΔDEF is ΔD'E'F'. Under which transformation will the triangles not be congruent?

• a reflection through the origin

• a reflection over the line y = x

• a dilation with a scale factor of 3 centered at (2,3)

• a dilation with a scale factor of 3/2 centered at the origin

The vertices of square RSTV have coordinates R(-1,5), S(-3,1), T(-7,3), and V(-5,7). What is the perimeter of RSTV?

• sqrt(20)

• sqrt(40)

• 4sqrt(20)

• 4sqrt(40)

Which transformation would not map the rectangle onto itself?

• a reflection over the x-axis

• a reflection over the line x = 4

• a rotation of 180° about the origin

• a rotation of 180° about the point (4,0)

In the diagram below of parallelogram ROCK, m∠C is 70° and m∠ROS is 65°. What is m∠KSO?

• 45°

• 110°

• 115°

• 135°

In the diagram below, ∠GRS ≅ ∠ART, GR = 36, SR = 45, AR = 15, and RT = 18. Which triangle similarity statement is correct?

• ΔGRS ≅ ΔART by AA.

• ΔGRS ~ ΔART by SAS.

• ΔGRS ~ ΔART by SSS.

• ΔGRS is not similar to ΔART.

The line represented by the equation 4y = 3x + 7 is transformed by a dilation centered at the origin. Which linear equation could represent its image?

• 3x - 4y = 9

• 3x + 4y = 9

• 4x - 3y = 9

• 4x + 3y = 9

Given ΔABC with m∠B = 62° and side AC extended to D, as shown below. Which value of x makes AB ≅ CB?

• 59°

• 62°

• 118°

• 121°

In the diagram below of triangle ABC, D, E, and F are the midpoints of AB, BC, and CA, respectively. What is the ratio of the area of triangle CFE to the area of triangle CAB?

• 1:1

• 1:2

• 1:3

• 1:4

The coordinates of the endpoints of AB are A(-8, -2) and B(16,6). Point P is on AB. What are the coordinates of point P, such that AP:PB is 3:5?

• (1) (1,1)

• (2) (7,3)

• (3) (9.6,3.6)

• (4) (6.4,2.8)

Kirstie is testing values that would make triangle KLM a right triangle when LN is an altitude, and KM = 16, as shown below. Which lengths would make triangle KLM a right triangle?

• LM = 13 and KN = 6

• LM = 12 and NM = 9

• KL = 11 and KN = 7

• LN = 8 and NM = 10