G 7.5 Flashcardizz Kites and Trapezoids

Front

What is a trapezoid?

Back

A trapezoid is a four-sided figure (quadrilateral) with at least one pair of parallel sides.

Front

What are the properties of an isosceles trapezoid?

Back

In an isosceles trapezoid, the legs are congruent, the base angles are equal, and the diagonals are also congruent.

Front

What is the formula for the area of a trapezoid?

Back

Area = 1/2 * (Base1 + Base2) * Height.

Front

What is a kite in geometry?

Back

A kite is a quadrilateral with two distinct pairs of adjacent sides that are equal.

Front

What are the properties of a kite?

Back

In a kite, one pair of opposite angles are equal, and the diagonals intersect at right angles.

Front

How do you find the length of the diagonals in a kite?

Back

The diagonals of a kite can be found using the Pythagorean theorem, as they form right triangles.

Front

What is the relationship between the angles in a trapezoid?

Back

In a trapezoid, the angles on the same side of a leg are supplementary (add up to 180 degrees).

Front

If the legs of an isosceles trapezoid are 10 cm each and the bases are 6 cm and 14 cm, what is the height?

Back

Height = √(10^2 - ((14-6)/2)^2) = √(100 - 16) = √84 ≈ 9.17 cm.

Front

What is the value of x in an isosceles trapezoid if the bases are 12 cm and 8 cm and the legs are x cm?

Back

Using the properties of isosceles trapezoids, x can be found using the height and the Pythagorean theorem.

Front

What is the sum of the interior angles of a trapezoid?

Back

The sum of the interior angles of any quadrilateral, including a trapezoid, is 360 degrees.