Angle Measures of Polygons Answers

4 congruent kites and connected an inscribed within a rectangle. The rectangle is 4 inches wide and 8 inches long.

is tangent to circle P at point Q.

Kite A B C D is shown. Lines are drawn from point A to point C and from point B to point D and intersect.

Kite A B C D is shown. Lines are drawn from point A to point C and from point B to point D and intersect.

The diagonal of a square is x units. What is the area of the square in terms of x?

A kite is inscribed within a square with a side lengths of 9 units.

Line EF is tangent to circle G at point A.

A rhombus with congruent sides is shown. Diagonals are drawn. The length of one diagonal is 6, and the length of the other diagonal is 8. The diagonals intersect to cut the lengths in half.

In quadrilateral QRST, measures (5x+15)°. Angle TQR measures (4x+3)°.

The area of the trapezoid is 40 square units.

Kite A B C D is shown. Lines are drawn from point A to point C and from point B to point D and intersect.

On a coordinate plane, kite W X Y Z has points (1, 1), (3, 4), (5, 1), (3, negative 3).

Liliana is making a vase with a circular base. She wants the area of the base to be between 135 cm2 and 155 cm2.Which circle could represent the base of the vase? Use 3.14 for .

On a coordinate plane, trapezoid A B C D has points (negative 3, negative 2), (negative 1, 2), (3, 2), and (5, negative 2).

A kite has vertices at (2, 4), (5, 4), (5, 1), and (0, –1).What is the approximate perimeter of the kite? Round to the nearest tenth.

Circle Y is shown. Chords R T and S U intersect. Arc R S is 106 degrees. The angle that intercepts arc R S is 94 degrees.

The area of a rhombus is 65 square units. The length of one diagonal is 13 units. What is the length of the other diagonal?

On a coordinate plane, trapezoid A B C D has points (negative 3, negative 2), (negative 1, 2), (3, 2), and (5, negative 2).

In circle O, AD and BE are diameters.

A kite is shown. Lines are drawn from each point to the opposite point to form a letter t.

Rhombus A B C D is shown. Lines are drawn from point A to point C and from point D to point B and intersect at point E. All sides are congruent.

Circle O has a circumference of approximately 28.3 cm.

Circle F is congruent to circle J, and ∠EFD ≅ ∠GJH.m∠DFE = 80°. What is the measure of arc ?°

The area of the trapezoid is 40 square units.

Consider circle C with angle ACB measuring radians.

On a coordinate plane, trapezoid A B C D has points (negative 3, negative 2), (negative 1, 2), (3, 2), and (5, negative 2).

Kite E F G H is inscribed in a rectangle. Points F and H are midpoints of sides of the rectangle, and creates a side length of x. Lines are drawn from point F to point H and from point E to point G and intersect at a point. Line E G is parallel to a rectangle side. The distance from point F to the intersection is 2, and the distance from H to the intersection is 5.

UV and RV are secant segments that intersect at point V.

A trapezoid is shown. The lengths of the bases are 4 and 8. The height of the altitude is 4.

Triangle BCD is isosceles and BC ≅ BD.

In circle O, MP is a diameter.

Which circle shows that measures 60°?

A regular polygon is drawn in a circle so that each vertex is on the circle and is connected to the center by a radius. Each of the central angles has a measure of 40°. How many sides does the polygon have?

Triangle JKL is equilateral. One side of the triangle, JL, is a diameter of circle M. Which is true about line segments JK and KL?