All Intermediate Geometry Resources
Example Questions
Example Question #21 :Kites
Given: Regular Pentagonwith center. Construct segmentsand形成四边形.
True or false: Quadrilateralis a kite.
True
False
True
Below is regular Pentagonwith center, a segment drawn fromto each vertex - that is, each of itsradiidrawn.
A kite is a quadrilateral with two sets of congruentadjacentsides, with the common length of one pair differing from that of the other. A regular polygon has congruent sides, so; also, all radii of a regular polygon are congruent, so. It follows by definition that Quadrilateralis a kite.
Example Question #22 :Kites
Using the kite shown above, find the length of side
A kite is a geometric shape that has two sets of equivalent adjacent sides.
Thus, the length of side.
Since,,must equal.
Example Question #23 :Kites
What is the length of side
A kite is a geometric shape that has two sets of equivalent adjacent sides. In this kite the two adjacent sides which are congruent are those at the top of the kite and then likewise, the two that are connected at the bottom of the kite.
Thus,must equal.
Example Question #24 :Kites
A kite has one set of equivalent sides each with a measurement of. Additionally, the kite has a perimeter ofFind the length for one of the other two sides of the kite.
A kite is a geometric shape that has two sets of equivalent adjacent sides.
Therefore plug in the given information into the formula:
, whereandare the lengths of opposite sides of the kite and solve for.
Example Question #25 :Kites
A kite has one set of equivalent sides each with a measurement of. Additionally, the kite has a perimeter ofFind the length for one of the other two sides of the kite.
A kite is a geometric shape that has two sets of equivalent adjacent sides.
Therefore plug in the given information into the formula:
, whereandare the lengths of opposite sides of the kite and solve for.
Example Question #26 :Kites
A kite has one set of equivalent sides each with a measurement ofcm. Additionally, the kite has a perimeter ofcm. Find the length for one of the other two sides of the kite.
A kite is a geometric shape that has two sets of equivalent adjacent sides.
Therefore plug in the given information into the formula:
, whereandare the lengths of opposite sides of the kite and solve for.
Example Question #27 :Kites
A kite has one set of equivalent sides each with a measurement offoot. Additionally, the kite has a perimeter offeet. Find the length for one of the other two sides of the kite.
A kite is a geometric shape that has two sets of equivalent adjacent sides.
Therefore plug in the given information into the formula:, whereandare the lengths of opposite sides of the kite and solve for.
Example Question #28 :Kites
Using the kite shown above, find the length of side.
A kite is a geometric shape that has two sets of equivalent adjacent sides.
Therefore plug in the given information into the formula:, whereandare the lengths of opposite sides of the kite and solve for.
Example Question #29 :Kites
Using the kite shown above, find the length of side
A kite is a geometric shape that has two sets of equivalent adjacent sides.
In this particular case the top sides that are connected at the top are congruent and the two sides that are connected at the bottom are congruent.
Thus, sidemust equalinches.
Example Question #30 :Kites
A kite has one set of equivalent sides each with a measurement of. Additionally, the kite has a perimeter ofFind the length for one of the other two sides of the kite.
A kite is a geometric shape that has two sets of equivalent adjacent sides.
Therefore plug in the given information into the formula:
, whereandare the lengths of opposite sides of the kite and solve for.
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