wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Geometry Regent

Total questions: 10

Worksheet time: 47mins

Name
Class
Date
1.

Point M divides AB so that AM:MB = 1:2. If A has coordinates (-1, -3) and B has coordinates (8,9), find the coordinates of M.

a)

(2, 1)

b)

(5/3, 0)

c)

(5, 5)

d)

(23/3, 8)

2.

In the accompanying diagram, AB parallel to CD, m<CAB = 80, and m<DCB = 40. What is m<ACB?

a)

40

b)

60

c)

80

d)

120

3.

ΔABC is similar to ΔDEF. The ratio of the length of AB to the length of DE is 3:1. Which ratio is also equal to 3:1?

a)

m<A: m<D

b)

m<B:m<F

c)

area ΔABC: area ΔDEF

d)

perimeter ΔABC:perimeter ΔDEF

4.

The measures of the angles of a triangle are in the ratio 2:3:4. In degrees, the measure of the largest angle of the triangle is:

a)

20

b)

40

c)

80

d)

100

5.

The sides of a triangle are 8, 12, and 15. The longest side of a similar triangle is 18. What is the ratio of the perimeter of the smaller triangle to the perimeter of the larger triangle?

a)

2:3

b)

4:9

c)

5:6

d)

25:36

6.

Triangle PQT with RS parallel to QT. If PR = 12, RQ = 8, and PS = 21, what is the length of PT?

a)

14

b)

17

c)

35

d)

38

7.

Find the equation of the line perpendicular to the line 2x - 5y = 10 that passes through the point ( -1, 4)

a)

y - 4 = 2/5(x-1)

b)

y +4 = 2/5(x + 1)

c)

y - 4 = -5/2(x+1)

d)

y - 4 = 5/2(x - 1)

8.

In the diagram, ΔLMO is isosceles with LO = MO. If m<L = 55 and m<NOM = 28, what is m<N?

a)

27

b)

28

c)

42

d)

70

9.

What method could be used to prove the triangles congruent?

a)

ASA

b)

AAS

c)

SAS

d)

HL

10.

If A'(12, -18) is the image of A(16, -24) after a dilation centered at the origin. What is the scale factor of the dilation?

a)

4/3

b)

4

c)

3/2

d)

3/4