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

-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.

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

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

-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?

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.

How are the diagonals of any parallelogram related?

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

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

-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?

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

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

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

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?

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

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

-If , then the altitude to base of is .

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

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

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

-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.