a) Which is the largest minor arc of
b) Which side of the triangle is nearest point
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Elementary Geometry For College Students, 7e
- In square ABCD not shown, point E lies in the interior of ABCD in such a way that ABE is an equilateral triangle. Find mDEC.arrow_forwardThe 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.arrow_forwardPoint V is in the exterior of circle Q not shown such that VQ is equal in length to the diameter of circle Q. Construct the two tangents to circle Q from point V. Then determine the measure of the angle that has vertex V and has the tangents as sides.arrow_forward
- Suppose that a circle is divided into three congruent arcs by points A,B, and C. What is the measure of each arc? What type of figure results when A,B, and C are joined by line segments?arrow_forwardThe 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.arrow_forwardA 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?arrow_forward
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- a To locate the orthocenter, is it necessary to construct all three altitude of a right triangle? b What point is the orthocenter of any right triangle?arrow_forwardDraw a triangle with three acute angles. Construct angle bisectors for each of the three angles. On the basis of the appearance of your construction, what seems to be true?arrow_forwardA trapezoid is a four-sided figure that contains one pair of parallel sides. Which sides of the trapezoid MNPQ appear to be parallel?arrow_forward
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