Intermediate Geometry : Kites

Study concepts, example questions & explanations for Intermediate Geometry

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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.

Possible Answers:

False

True

Correct answer:

True

Explanation:

Below is regular Pentagon  with center , a segment drawn from  to each vertex - that is, each of its radii drawn.

Pentagon a

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

Kite_series_2

Using the kite shown above, find the length of side 

Possible Answers:

Correct answer:

Explanation:

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

Kite_series_2

What is the length of side 

Possible Answers:

Correct answer:

Explanation:

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. 

Possible Answers:

Correct answer:

Explanation:

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.

Possible Answers:

Correct answer:

Explanation:

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.

Possible Answers:

 

 

 

Correct answer:

 

Explanation:

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. 

Possible Answers:

Correct answer:

Explanation:

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

Kite_series_2

Using the kite shown above, find the length of side 

Possible Answers:

Correct answer:

Explanation:

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

Kite_series_2

Using the kite shown above, find the length of side 

Possible Answers:

Correct answer:

Explanation:

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. 

Possible Answers:

Correct answer:

Explanation:

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







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