a) Because point Q is their common R V center, these circles are known as (W circles. b) If RQ the length of chord TV which is also a tangent to the inner circle. 3 and QV = 5, find
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- aBecause point Q is their common center, these circles are known as _ circles. bIf RQ=3 and QV=5, find the length of chord TV which is also a tangent to the inner circle.Two congruent intersecting circles B and D not shown have a line segment of centers BD and a common chord AC that are congruent. Explain why quadrilateral ABCD is a square.Given concentric circles with center O, ABC is inscribed in the larger circle, as shown. If BC is tangent to the smaller circle at point T and AB=8, find the length of the radius of the smaller circle.
- A tangent ET is constructed to circle Q from external point E. Which angle and which side of triangle QTE are largest? Which angle and which side are smallest?A quadrilateral RSTV is circumscribed about a circle so that its tangent sides are at the endpoints of two intersecting diameters. aWhat types of quadrilateral is RSTV? bIf the diameters are also perpendicular, what type of quadrilateral is RSTV?The center of a circle of radius 3 inches is at a distance of 20 inches from the center of a circle of radius 9 inches. What is the exact length of common internal tangent AB? HINT: Use similar triangles to find OD and DP. Then apply the Pythagorean Theorem twice.
- Use the results from Exercises 36 and 37 to find the exact length of the radius of the inscribed circle for a triangle with sides of lengths a 8, 15 and 17 b 7, 9 and 12For rectangle MNPQ, points A, B, C and D are the midpoints of the sides. aWhat type of quadrilateral not shown is ABCD? bAre the inscribed circle for ABCD and the circumscribed circle for MNPQ concentric circles?X, Y, and Z are on circle O such that mXY=120, mYZ=130, and mXZ=110. Suppose that triangle XYZ is drawn and that the triangle ABC is constructed with its sides tangent to circle O at X, Y, and Z. Are XYZ and ABC similar triangles?
- The center of a circle of radius 2 inches is at a distance of 10 inches from the center of a circle of radius length 3 inches. To the nearest tenth of an inch, what is the approximate length of a common internal tangent? Use the hint provided in Exercise 38. HINT: use similar triangles to find OD and DP. Then apply the Pythagorean Theorem twice.The center of a circle of radius 2 in. is at a distance of 10 in. from the center of a circle of radius length 3 in. To the nearest tenth of an inch, what is the approximate length of a common internal tangent? Use the hint provided in Exercise 38. HINT: use similar triangles to find OD and DP. Then apply the Pythagorean Theorem twice.Circles O, P, and Q are tangent as shown at points X, Y, and Z. Being as specific as possible, explain what type of triangle PQO is if: a OX=2,PY=3,QZ=1 b OX=2,PY=3,QZ=2