# 6 6 trapezoids and kites

By the Trapezoid Midsegment Theorem, the midsegment of a trapezoid is parallel to each base and its measure is one half the sum of the lengths of the bases.

So, So, they a. So, they are parallel. Show that ABCD is a trapezoid and determine whether it is an isosceles trapezoid.

Each side of the basket shown is an isosceles trapezoid B. Use the Slope Formula. A quadrilateral is a trapezoid if exactly one pair of opposite sides are parallel. Example 3 26 Trapezoid Midsegment Theorem Midsegment of a Trapezoid Read the Item You are given the measure of the midsegment of a trapezoid and the measures of one of its bases.

The sum of the measures of the angles of a quadrilateral is The lengths of the legs are not equal. A kite is a quadrilateral with exactly two pairs of consecutive congruent b. Therefore, ABCD is not an isosceles trapezoid.

## 6-6 practice trapezoids and kites answers geometry form g

Use the Distance formula to find the lengths of the bases. Use the -slope formula to find the slope of the sides of the quadrilateral. You are asked to find the measure of the other base. Find y. The length of the bases are 22 inches and 12 inches. The slopes of exactly one pair of opposite sides are equal. Use Properties of Kites A. Use the slope formula to find the slope of the sides of the quadrilateral. By the Trapezoid Midsegment Theorem, the midsegment of a trapezoid is parallel to each base and its measure is one half the sum of the lengths of the bases.

If so, is it isosceles? Midsegment of a Trapezoid Multiply each side by 2.

## 6-6 study guide and intervention trapezoids and kites

Each side of the basket shown is an isosceles trapezoid B. So, Justify your answer. SOLUTION: By the Trapezoid Midsegment Theorem, the midsegment of a trapezoid is parallel to each base and its measure is one half the sum of the lengths of A kite can only have one pair of opposite congruent angles and the bases. Find x. You are asked to find the measure of the other base. Therefore, without knowing the thickness of the sides of the box, the width of the shelf is about 17 inches. Use the -slope formula to find the slope of the sides of the quadrilateral. Each side of the basket shown is an isosceles trapezoid. So, they a. Apply properties of kites.

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