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Name _______________________________________ Date ___________________ Class __________________
6.6 Practice
Properties of Kites and Trapezoids
Fill in the blanks to complete each theorem or definition.
1. If a quadrilateral is a kite, then its ________________________ are perpendicular.
2. If a quadrilateral is a kite, then exactly one pair of opposite ________________________
are congruent.
3. A kite is a quadrilateral with exactly two pairs of congruent
consecutive ________________________.
ABCD is a kite. Use the figure to find each measure
in Exercises 4–6.
4. mD
5. AB
________________________
6. CD
________________________
________________________
A trapezoid is a quadrilateral with exactly one pair of
parallel sides. Name the parts of trapezoid PQRS
asked for in Exercises 7–9.
7. both bases
____________________
8. both legs
____________________
9. one pair of base angles
____________________
Fill in the blanks to complete each theorem or definition.
10. A trapezoid is isosceles if and only if its ____________________ are congruent.
11. If a trapezoid has one pair of congruent base angles, then the trapezoid
is ____________________.
12. If the legs of a trapezoid are ____________________, then the trapezoid is
an isosceles trapezoid.
13. If a quadrilateral is an isosceles trapezoid, then each pair of
____________________ is congruent.
In an art museum, a statue sits on a pedestal with sides that are
isosceles trapezoids. Name the parts of isosceles trapezoid EFGH
asked for in Exercises 14 and 15.
14. both pairs of congruent angles
_____________________________________
15. both pairs of congruent segments
_____________________________________
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Holt McDougal Geometry
Name _______________________________________ Date ___________________ Class __________________
In kite ABCD, mBAC  35 and mBCD  44.
For Exercises 17–19, find each measure.
17. mABD
________________________
18. mDCA
19. mABC
________________________
20. Find mZ.
________________________
21. KM  7.5, and NM  2.6. Find LN.
________________________________________
________________________________________
22. Find the value of n so that PQRS is isosceles.
________________________________________
23. QS  8z2, and RT  6z2  38. Find the
value of z so that QRST is isosceles.
________________________________________
Use the figure for Exercises 24 and 25. The figure shows a
ziggurat. A ziggurat is a stepped, flat-topped pyramid that
was used as a temple by ancient peoples of Mesopotamia.
The dashed lines show that a ziggurat has sides
roughly in the shape of a trapezoid.
24. Each “step” in the ziggurat has equal height. Give the vocabulary term for MN.
________________________________________
25. The bottom of the ziggurat is 27.3 meters long, and the top of the ziggurat
is 11.6 meters long. Find MN.
________________________________________
Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor.
Holt McDougal Geometry