Step 2: Construct regular polygons inscribed in a circle. a) Construct an equilateral triangle inscribed in a circle using the construction tool. Insert a
screenshot of the construction here. Alternatively, construct an equilateral triangle inscribed in a
circle by hand using a compass and straightedge. Leave all circle and arc markings. (10 points)
b) Construct a regular hexagon inscribed in a circle using the construction tool. Insert a screenshot
of the construction here. Alternatively, construct a regular hexagon inscribed in a circle by hand
using a compass and straightedge. Leave all circle and arc markings. (10 points)
c) Construct a square inscribed in a circle using the construction tool. Insert a screenshot of the
construction here. Alternatively, construct a square inscribed in a circle by hand using a compass
and straightedge. Leave all circle and arc markings. (10 points)

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

Ithink the answer is $2.10

The second and fourth answer are correct