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Saturday Regents Review 2 ( Aug 2017)

Total questions: 13

Worksheet time: 7mins

Name
Class
Date
1.

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

a)

a reflection through the origin

b)

a reflection over the line y = x

c)

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

d)

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

2.

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?

a)

sqrt(20)

b)

sqrt(40)

c)

4sqrt(20)

d)

4sqrt(40)

3.

Which transformation would not map the rectangle onto itself?

a)

a reflection over the x-axis

b)

a reflection over the line x = 4

c)

a rotation of 180° about the origin

d)

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

4.

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

a)

45°

b)

110°

c)

115°

d)

135°

5.

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

a)

ΔGRS ≅ ΔART by AA.

b)

ΔGRS ~ ΔART by SAS.

c)

ΔGRS ~ ΔART by SSS.

d)

ΔGRS is not similar to ΔART.

6.

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?

a)

3x - 4y = 9

b)

3x + 4y = 9

c)

4x - 3y = 9

d)

4x + 3y = 9

7.

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

a)

59°

b)

62°

c)

118°

d)

121°

8.

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?

a)

1:1

b)

1:2

c)

1:3

d)

1:4

9.

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?

a)

(1) (1,1)

b)

(2) (7,3)

c)

(3) (9.6,3.6)

d)

(4) (6.4,2.8)

10.

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?

a)

LM = 13 and KN = 6

b)

LM = 12 and NM = 9

c)

KL = 11 and KN = 7

d)

LN = 8 and NM = 10

11.

A regular decagon is rotated n degrees about its center, carrying the decagon onto itself. The value of n could be

a)

10°

b)

150°

c)

225°

d)

252°

12.

What is an equation of the perpendicular bisector of the line segment shown in the diagram below?

a)

y + 2x = 0

b)

y - 2x = 0

c)

2y + x = 0

d)

2y - x = 0

13.

If the sum of the interior angles of a polygon is 1260 degrees, how many sides does the polygon have?

a)

7

b)

8

c)

9

d)

10