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Exam 12: Geometry Problems: Complementary Angles, Collinear Points, and Similar Triangles

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Question 221

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For the right circular cylinder, the base has area and the lateral area is . What is the total area of the cylinder?

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Question 222

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How are the diagonals of any parallelogram related?

A) congruent
B) perpendicular
C) bisect each other
D) None of These

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Question 223

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-Consider regular pentagon ABCDE. If diagonal is drawn, then a quadrilateral ACDE is formed. Being as specific as possible, what type of quadrilateral is ACDE?

Given that D-E-F on , name the property that leads to the conclusion .

-Having proved that by SSS, we can then state that .

When two parallel lines are cut by a transversal, what relationship exists between a pair of interior angles on the same side of the transversal?

Consider a set of lines. Which is a property of the relation "is perpendicular to" for lines?

-A food container is in the shape of a right circular cylinder. To the nearest cubic inch, find the exact volume of the food container if the radius of the base measures 2.3 inches and the height of the container is 6.2 inches.

Lying on the x-axis are 2 points whose distance from (2,-3) is 5 units. Find the x-coordinates of these points (a,0) that lie on the x-axis.

-For rhombus RSTV, diagonals and intersect at point W. If RT = 16 and VS = 12, find the length of each side of rhombus RSTV.

-If two rays are opposite rays, then their union is a straight line.

-The midpoints of the sides of rhombus ABCD are joined in order to form quadrilateral MNPQ. Being as specific as possible, what type of quadrilateral is MNPQ?

-With the circle inscribed in , it follows that AR = AS, BS = BT, and CR = CT.

For a square ABCD, the length of radius is cm. Find the perimeter of ABCD.

-In a regular pentagon, each side has the length 4.8 inches while the apothem has the length 7.4 inches. To the nearest tenth of an inch, find the length of the radius of the pentagon.

-If , then the altitude to base of is .

-In rectangle ABCD, AB = 5 and BC = 4. As a square root, find the length of diagonal .

-In trapezoid RSTV, . If m , m , m , and m , find the value of the expression .

-In , RS = 19, ST = 15, and WT = 10. Find the length of altitude .

-For a right rectangular prism with dimensions l, w, and h, the volume V is given by V = lwh.