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Intermediate Geometry : Plane Geometry

Study concepts, example questions & explanations for Intermediate Geometry

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Example Questions

Example Question #22 : Kites

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 .

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Example Question #23 : Kites

A kite has one set of equivalent sides each with a measurement of . Additionally, the kite has a perimeter of 48. 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:

perimeter=2(a+b) , where and are the lengths of opposite sides of the kite and solve for .

48=2(9+b)

$\frac{48}{2}=(9+b)$

24=9+b

b=24-9=15

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Example Question #22 : Kites

A kite has one set of equivalent sides each with a measurement of . Additionally, the kite has a perimeter of 88. 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:

perimeter=2(a+b) , where and are the lengths of opposite sides of the kite and solve for .

88=2(a+31)

$a+31=\frac{88}{2}$

a=44-31=13

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Example Question #25 : Kites

A kite has one set of equivalent sides each with a measurement of cm. Additionally, the kite has a perimeter of 450 cm. Find the length for one of the other two sides of the kite.

Possible Answers:

231cm

131cm

133cm

262cm

133in

Correct answer:

131cm

Explanation:

A kite is a geometric shape that has two sets of equivalent adjacent sides.

Therefore plug in the given information into the formula:

perimeter=2(a+b) , where and are the lengths of opposite sides of the kite and solve for .

450=2(94+b)

$\frac{450}{2}=94+b$

225=94+b

b=225-94=131

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Example Question #26 : Kites

A kite has one set of equivalent sides each with a measurement of $\frac{2}{4}$ foot. Additionally, the kite has a perimeter of 4.5 feet. Find the length for one of the other two sides of the kite.

Possible Answers:

1.75 feet

1.25 feet

$\frac{3}{4} foot$

0.5foot

2.25 feet

Correct answer:

1.75 feet

Explanation:

A kite is a geometric shape that has two sets of equivalent adjacent sides.

Therefore plug in the given information into the formula: perimeter=2(a+b) , where and are the lengths of opposite sides of the kite and solve for .

4.5=2(0.5+b)

$0.5+b=\frac{4.5}{2}=2.25$

b=2.25-0.5=1.75

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Example Question #336 : Intermediate Geometry

Kite_series_2

Using the kite shown above, find the length of side .

Possible Answers:

5.5 in

5 in

16 in

8.5in

8in

Correct answer:

5.5 in

Explanation:

A kite is a geometric shape that has two sets of equivalent adjacent sides.

Therefore plug in the given information into the formula: perimeter=2(a+b) , where and are the lengths of opposite sides of the kite and solve for .

43=2(a+16)

$a+16=\frac{43}{2}$

a+16=21.5

a=21.5-16=5.5

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Example Question #27 : Kites

Kite_series_2

Using the kite shown above, find the length of side

Possible Answers:

5.5in

14in

9in

16in

13.5in

Correct answer:

16in

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.

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Example Question #28 : Kites

A kite has one set of equivalent sides each with a measurement of 9.5 . Additionally, the kite has a perimeter of 26. Find the length for one of the other two sides of the kite.

Possible Answers:

9.5

3.5

5.5

Correct answer:

3.5

Explanation:

A kite is a geometric shape that has two sets of equivalent adjacent sides.

Therefore plug in the given information into the formula:

perimeter=2(a+b) , where and are the lengths of opposite sides of the kite and solve for .

26=2(9.5+b)

$9.5+b=\frac{26}{2}$

9.5+b=13

b=13-9.5=3.5

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Example Question #161 : Quadrilaterals

A kite has one set of equivalent sides each with a measurement of 0.75 yards. Additionally, the kite has a perimeter of yards. Find the length for one of the other two sides of the kite.

Possible Answers:

5.75yds

6.25yds

5.25yds

4.75yds

6.75yds

Correct answer:

6.25yds

Explanation:

A Kkite is a geometric shape that has two sets of equivalent adjacent sides.

Therefore plug in the given information into the formula:

perimeter=2(a+b) , where and are the lengths of opposite sides of the kite and solve for .

14=2(0.75+b)

$\frac{14}{2}=0.75+b$

b+0.75=7

b=7-0.75=6.25

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Example Question #1 : How To Find The Length Of The Diagonal Of A Parallelogram

The length of a parallelogram is cm and the width is cm. One of its diagonals measures cm. Find the length of the other diagonal.

Possible Answers:

$2\sqrt{38}cm$

$3\sqrt{3}cm$

$\sqrt{142}cm$

None of the other answers.

$4\sqrt{38}cm$

Correct answer:

$\sqrt{142}cm$

Explanation:

The formula for the relationship between diagonals and sides of a parallologram is

$(d_{1})^{2} + (d_{2})^{2} = 2a^{2} + 2b^{2}$ ,

where $d_{1}$ represents one diagonal,

$d_{2}$ represents the other diagonal,

represents a side, and

represents the adjoining side.

So, in this problem, substitute the known values and solve for the missing diagonal.

$14^{2} + (d_{2})^{2} = 2(12)^{2} + 2(5)^{2} \rightarrow 196 + d^{2} = 288 + 50$

$\rightarrow d^{2} = 142 \rightarrow d = \sqrt{142}$

So, the missing diagonal is $\sqrt{142}$ cm.

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Intermediate Geometry : Plane Geometry

Study concepts, example questions & explanations for Intermediate Geometry

All Intermediate Geometry Resources

Example Questions

Example Question #22 : Kites

Example Question #23 : Kites

Example Question #22 : Kites

Example Question #25 : Kites

Example Question #26 : Kites

Example Question #336 : Intermediate Geometry

Example Question #27 : Kites

Example Question #28 : Kites

Example Question #161 : Quadrilaterals

Example Question #1 : How To Find The Length Of The Diagonal Of A Parallelogram

All Intermediate Geometry Resources

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