Coordinate plane with triangle efg with e at 0 comma 5, f at 1 comma 1, and g at negative 2 comma 1. point h at 1 comma 1 is on segment gf, and points e and h are connected with a segment.

triangle efg is dilated by a scale factor of 2 centered at (0, 2) to create triangle e'f'g'. which statement is true about the dilation?

a. segment eg ≅ segment e prime g prime.
b. the slope of segment ef is the same as the slope of segment e prime h prime.
c. segment h prime f prime will overlap segment hf.
d. segment eh and segment e prime h prime both pass through the center of dilation.

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

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answer:
congruent segments
step-by-step explanation:
congruent segments. take a line, cut it in half, superipose one half over the other half; you'll have congruence.