Geometry Regents

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.

• (2, 1)

• (5/3, 0)

• (5, 5)

• (23/3, 8)

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

• 40

• 60

• 80

• 120

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?

• m<A: m<D

• m<B:m<F

• area ΔABC: area ΔDEF

• perimeter ΔABC:perimeter ΔDEF

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:

• 20

• 40

• 80

• 100

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?

• 2:3

• 4:9

• 5:6

• 25:36

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

• 14

• 17

• 35

• 38

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

• y - 4 = 2/5(x-1)

• y +4 = 2/5(x + 1)

• y - 4 = -5/2(x+1)

• y - 4 = 5/2(x - 1)

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

• 27

• 28

• 42

• 70

What method could be used to prove the triangles congruent?

• ASA

• AAS

• SAS

• HL

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?

• 4/3

• 4

• 3/2

• 3/4