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.

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

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?

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:

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?

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

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

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

What method could be used to prove the triangles congruent?

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?