PQR is dilated with the center of dilation at the origin and a scale factor of 0.5 to obtain P'Q'R. The triangles corresponding angles are and their corresponding sides are therefore, the triangles are A. congruent; proportional; similiar

B. congruent; congruent; congruent;

C. Proportional; proportional; similiar

D. Proportional; congruent; congruent

Find the value of the variable and the length of each secant segment.

Aswimming pool has an input pump for filling the pool and an output pump for emptying the pool. the input pump can fill the pool in 3 hours, and the output pump can drain the pool in 5 hours. as you go to bed, the pool is full, but a neighbor’s kid turns on the output pump. at midnight, you awake to find the pool half empty. immediately, you turn on the input pump, but you are sleepy and forget to turn off the output pump. at what time will the pool become full?

In the figure below, segment ac is congruent to segment ab: triangle abc with a segment joining vertex a to point d on side bc. side ab is congruent to side ac which statement is used to prove that angle abd is congruent to angle acd? segment ad bisects angle cab. triangle acd is similar to triangle abd. segment ad is congruent to segment ac. angle cab is congruent to angle cba.