Do what is asked: 1. If a line is perpendicular to a radius of a circle at its endpoint that is on the circle, then the line is tangent to the circle. Given: RS is a radius of OC at D. Prove: PQ is tangent to OS at R 2. List all the theorems on circle

Q: Consider Point P on the Circle with radius AP. Prove that line m is the unique tangent to the circle…

A: To prove that line m is the unique tangent to the circle at point P, we'll use the definition and…

Q: 16) ST and SR are tangent to Circle C. Find ST. А. 3 x+ 12 В. 7.3 C. 12 4x +9 D. 13

A: Solution:Given    ST=4x+9   and ST=x+12To find length ST:Formula:ST and SR be two tangent of a…

Q: Given circle O with tangents AB and AC Find x. B x2 + 8 A C 25 O 20 33 6

A: The Two-Tangent Theorem states that if two tangent segments are drawn to one circle from the same…

Q: olit he giren puints A and Bi and find he slype of the otr yht hoie clebermined by Hen d aper…

A: Given points are, A1,2B2,-1 The formula for finding the slope of the straight line is, m=y2-y1x2-x1

Q: 3x° E 8x – 18° F

A:

Q: For circle O, the radius has length 4 inches. Describe the locus of points in the plane at a…

A: Circle: The locus of all the points in the plane which are equidistant called radius from a fixed…

Q: All 3 parts.

A: To find the slope of the tangent, we need f'(64)

Q: The construction suggests tangent line m to a circle that goes through point P in the exterior of…

A: Required:The construction suggests tangent line m to a circle that goes through point P in the…

Q: To construct the tangent to circle O, at point T on the circle, we construct a line perpendicular to…

A: To construct the tangent to circle O, at point T on the circle, we construct a line perpendicular to…

Q: Please explain in detail (step by step) how to construct this using Geogebra, thank you

A: Step 1:Solution: According to the given question, a triangle ABC is given for the required excircle.…

Q: Find the slope-intercept form of the line tangent to the circle of radius 4 centered at (1, –2) and…

A: Given radius of a circle is 4 centered at (1,-2) and passing through (2,15-2)

Q: 15. M is the midpoint of line segment PQ, and R is the midpoint of TS. If PM = MQ = a and TR = RS =…

A:

Q: 1.)  Two circles that are internally tangent have three common tangent lines. A. True     b.False…

A: Given problems:- 1.) Two circles that are internally tangent have three common tangent lines.   A.…

Q: Prove the equal tangent theorem: Let P be a point outside a circle C. Let A be a point on C such…

A:

Q: Theorem 78 states that if the radius of a circle is r, its area is πr2. true or false

A: In the statement, it is asked if the area of circle is ∏r2

Q: Suppose line L connects points Q and R and suppose point P is not on L. Let point S be the unique…

A: Answer: The solution is given below:

Q: Let point E lie in the exterior of OP. How many tangent lines can be constructed to OP from point E?

A: two tangent line can be drawn to a circle from a point E outside of the circle.

Q: 95 25

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Q: KS. (a) Give a tangent line. (b) Give a secant line. C (c) Give a chord. K H

A: (a)  Tangent to a circle is the line that touches the circle at only one point. From figure we can…