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:

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.

In the accompanying diagram of ΔABC, L is the midpoint of BC, M is the midpoint of AB, and N is the midpoint of AC. If MN = 8, ML = 5, and NL = 6, find the perimeter of trapezoid BMNC.

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 accompanying diagram of right triangle ABC, altitude BD divides hypotenuse AC into segments with lengths of 3 and 9. Find the length of AB.

Line y = 3x -1 is transformed by a dilation with a scale factor of 2 and centered at (3, 8). The line's image is:

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?

Find the missing side using proportions.

What is the measure of the largest angle in the accompanying triangle?

 In the diagram of $\Delta ABC$ P is a point on  $\overline{AB}$ ,  Q is a point on  $\overline{AC}$ , and  $\overline{PQ}$  is drawn. If AP = 10, PB = 4, and AQ = 8, what is the length of  $\overline{AC}$   so that  $\overline{PQ}\ \parallel\ \overline{BC}$  ?

In right   $\Delta ABC$  , altitude  $\overline{CD}$  is drawn to the hypotenuse.  If DB = 8 and CD= 15 Find the length of AC.