A pool company is creating a blueprint for a family pool and a similar dog pool for a new client. Which statement explains how the company can determine whether pool ABCD is similar to pool EFGH?

B

С

חד

F

G

A

E

H

Translate EFGH so that point F of EFGH lies on point B of ABCD, then dilate EFGH by the ratio

EF

AB

Translate EFGH so that point E of EFGH lies on point A of ABCD, then translate EFGH so that point F of EFGH

lies on point B of ABCD.

AB

Translate EFGH so that point E of EFGH lies on point A of ABCD, then dilate EFGH by the ratio

EF

Translate EFGH so that point F of EFGH lies on point B of ABCD, then translate EFGH so that point E of EFGH

lies on point A of ABCD.

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12