Nora says that the shapes shown below are translations of each other. judy says that the transformation is a glide-reflection. in two or more complete sentences, explain who is correct.

Strictly speaking, it is not a reflection, If it were, then the arrow in one of the quadrants would be turned around. The arrowhead of one would be facing down, while the arrowhead of the other would be facing up.

Nora says that the shapes shown below are translations of each other. Nora is correct because the image has just moved to a different set of (x, y)s, while its shape maintained the same directionality of its positioning (the parts of the arrow).

Judy is incorrect in calling it a glide-reflection; such requires a movement (translation), followed by a flip (reflection) across either the x- or y-axis.

Considering that the point and base of the "arrow" image has not changed or flipped in the movement, no reflection had occurred.

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

Im pretty sure it would be 6 purple rectangles.