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6.9.23 Geometry Regents Review

Total questions: 15

Worksheet time: 45mins

Name
Class
Date
1.

Which object is formed when right triangle RST shown below is rotated around leg RS?

a)

A pyramid with a square base

b)

an isosoceles Triangle

c)

a right triangle

d)

A cone

2.

The center of circle Q has coordinates (3, -2). If circle Q passes through R(7,1), what is the length of its diameter?

a)

50

b)

25

c)

10

d)

5

3.

In the diagram below, congruent figures 1,2, and 3 are drawn. Which sequence of transformations maps figure 1 onto figure 2 and then figure 2 onto figure 3?

a)

a reflection followed by a translation

b)

a rotation followed by a translation

c)

a translation followed by a reflection

d)

a translation followed by a rotation

4.

A parallelogram must be a rectangle when its

a)

diagonals are perpendicular

b)

diagonals are congruent

c)

opposite sides are parallel

d)

opposite sides are congruent

5.

The line whose equation is 3x - 5y = 4 is dilated by a scale factor of 5/3 centered at the origin. Which statement is correct?

a)

The image of the line has the same slope as the pre-image but a different y-intercept

b)

the image of the line has the same y-intercept as the pre-image but a different slope

c)

The imagine of the line has the same slope and the same y-intercept as the pre-image

d)

the image of the line has a different slope and a different y-intercept from the pre-image.

6.

In the scalene triangle ABC shown in the diagram below, mCm\angle C = 90 degrees. Which equation is always true?

a)

sin A = sin B

b)

cos A = cos B

c)

cos A = sin C

d)

sin A = cos B

7.
a)

1

b)

2

c)

3

d)

4

8.
a)

1

b)

2

c)

3

d)

4

9.
a)

1

b)

2

c)

3

d)

4

10.
a)

1

b)

2

c)

3

d)

4

11.
a)

1

b)

2

c)

3

d)

4

12.
a)

1

b)

2

c)

3

d)

4

13.
a)

(1)

b)

(2)

c)

(3)

d)

(4)

14.

In the accompanying diagram, AB  CD\overline{AB}\ \parallel\ \overline{CD} , mCABm\angle CAB = 80, and mDCBm\angle DCB = 40. What is mACBm\angle ACB ?

a)

40

b)

60

c)

80

d)

120

15.

In the accompanying diagram, ΔABC is a right triangle and CD is the altitude to the hypotenuse AB. If AD = 4 and DB = 16, find the length of CD.

a)

4√5

b)

8

c)

4√15

d)

2√5