Kites and Trapezoids

Front

What is a kite in geometry?

Back

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

Front

What is a trapezoid?

Back

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

Front

What is the Pythagorean Theorem?

Back

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides (a² + b² = c²).

Front

How do you find the perimeter of a kite?

Back

To find the perimeter of a kite, add the lengths of all four sides. If the lengths of the two pairs of equal sides are known, the perimeter can be calculated as P = 2(a + b), where a and b are the lengths of the pairs of equal sides.

Front

What is the relationship between the angles in a trapezoid?

Back

In a trapezoid, the sum of the interior angles is always 360 degrees.

Front

How do you find the measure of an angle in a kite?

Back

In a kite, the angles between the unequal sides are equal, and the angles between the equal sides are also equal.

Front

What is the formula for the area of a trapezoid?

Back

The area of a trapezoid can be calculated using the formula: Area = (1/2) * (b1 + b2) * h, where b1 and b2 are the lengths of the two parallel sides and h is the height.

Front

If two angles of a trapezoid are 70° and 110°, what are the measures of the other two angles?

Back

The other two angles will be 110° and 70°, as the angles on the same side of a trapezoid are supplementary.

Front

What is the significance of the diagonals in a kite?

Back

In a kite, the diagonals intersect at right angles, and one diagonal bisects the other.

Front

How do you solve for x in a triangle?

Back

To solve for x in a triangle, you can use the properties of triangles, such as the sum of angles in a triangle being 180 degrees or the Pythagorean theorem for right triangles.