All Intermediate Geometry Resources
Example Questions
Example Question #11 : How To Find The Length Of The Side Of A Kite
Given: Regular Pentagon with center . Construct segments and to form Quadrilateral .
True or false: Quadrilateral is a kite.
False
True
True
Below is regular Pentagon with center , a segment drawn from to each vertex - that is, each of its radii drawn.
A kite is a quadrilateral with two sets of congruent adjacent sides, 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 Quadrilateral is a kite.
Example Question #321 : Intermediate Geometry
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 #331 : Intermediate Geometry
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 #332 : Intermediate Geometry
A kite has one set of equivalent sides each with a measurement of . Additionally, the kite has a perimeter of 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:
, where and are the lengths of opposite sides of the kite and solve for .
Example Question #333 : Intermediate Geometry
A kite has one set of equivalent sides each with a measurement of . Additionally, the kite has a perimeter of 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:
, where and are the lengths of opposite sides of the kite and solve for .
Example Question #334 : Intermediate Geometry
A kite has one set of equivalent sides each with a measurement of cm. Additionally, the kite has a perimeter of cm. 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:
, where and are the lengths of opposite sides of the kite and solve for .
Example Question #335 : Intermediate Geometry
A kite has one set of equivalent sides each with a measurement of foot. Additionally, the kite has a perimeter of feet. 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: , where and are the lengths of opposite sides of the kite and solve for .
Example Question #336 : Intermediate Geometry
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: , where and are the lengths of opposite sides of the kite and solve for .
Example Question #337 : Intermediate Geometry
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, side must equal inches.
Example Question #338 : Intermediate Geometry
A kite has one set of equivalent sides each with a measurement of . Additionally, the kite has a perimeter of 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:
, where and are the lengths of opposite sides of the kite and solve for .