Area of Triangles and Parallelograms — Cumulative exam Answers

In circle O, radius OQ measures 9 inches and the arc length of PQ is 6π inches.

Points H and F lie on circle C.

Which statements about the design are true? Select three options.

Which statements must be true about the two congruent, shaded figures? Select two options.

If the legs of an isosceles right triangle have a length of ft, what is the length of the hypotenuse?

Point F is on circle C.

Right triangle XYZ has a right angle at vertex Y and a hypotenuse that measures 24 cm. Angle ZXY measures 70o.What is the length of line segment XY? Round to the nearest tenth.

There are 2,100 bacteria in a circular petri dish. The dish has a radius of 40 millimeters. What is the approximate population density? (Use 3.14 for π)Area of a circle = πr2

Rectangle J K L M is shown. Diagonals are drawn from point J to point L and from point K to point M and intersect in the middle. All angles are right angles. The length of J M is 12 and the distance from M to the center point is 10.

AC and DB are chords that intersect at point H.

In the parallelogram shown, AE = p − 8, CE = 2p − 58, and DE = p + 15.

A circle is shown. Secants E G and D G intersect at point G outside of the circle. Secant E G intersects the circle at point F and secant D G intersects the circle at point H. The length of E F is x, the length of F G is 6, the length of D H is x + 3, and the length of H G is 5.

Triangle X Y Z is shown. Angle X Z Y is a right angle. Angle Z X Y is 60 degrees and angle X Y Z is 30 degrees. The length of hypotenuse X Y is 42 and the length of X Z is 21.

Mei and Anju are sitting next to each other on different horses on a carousel. Mei’s horse is 3 meters from the center of the carousel. Anju’s horse is 2 meters from the center. After one rotation of the carousel, how many more meters has Mei traveled than Anju?

Rhombus L M N O is shown. Diagonals are drawn from point L to point N and from point M to point O and intersect at point P. The length of L M is 3 x minus 3 and the length of M N is x + 7.

Circle R is shown. Line segments Q R and S R are radii. The length of Q R is 18. Sector Q R S is shaded.

A quilt is designed using a square pattern. Each square contains two rectangles. Each rectangle contains a shaded rhombus.

An oblique prism has trapezoidal bases and a vertical height of 10 units.

In quadrilateral PQRS, measures (7x - 2)o . Angle PSR measures (5x + 14 )o.

In circle E, and are diameters. Angle BCA measures 53°.