ABCD Property

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.

Suppose a circle of radius r is inscribed in a rhombus, each of whose sides has length s. Find an expression for the area of the rhombus in terms of r and s.

Complete an analytic proof of the following theorem: In a triangle that has sides of lengths a,b, and c, if c2=a2+b2, then the triangle is a right triangle.

Given: Equiangular RST Prove: RV bisects SRT RVS is a right

In Exercises 25 and 26, give a paragraph form of proof. Provide drawings as needed. Given: Isosceles MNQ with QM=QN=s and MN=2a Prove: AMNQ=as2-a2 NOTE: sa.

Given that rectangle ABCE is similar to rectangle MNPR and that CDEPQR, what can you conclude regarding pentagon ABCDE and pentagon MNPQR?

Generalize the results found in Exercise 11 and 12 by answering each of the following questions. Assume that the number of sides in each base of the prism is n. For the prism, what is the a number of vertices? b number of lateral edges? c number of base edges? d total of base of edges? e number of lateral faces? f number of bases? g total number of faces?

Given: B is the midpoint of AC BDAC Prove: ADC is isosceles

In the figure shown, CD bisects AB at point M so that AM=MB. Is it correct to conclude that CM=MD?