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ISEE Lower Level Quantitative : Plane Geometry

Study concepts, example questions & explanations for ISEE Lower Level Quantitative

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All ISEE Lower Level Quantitative Resources

20 Diagnostic Tests 114 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #11 : Quadrilaterals

Angela found the perimeter of the trapezoid below to be 35 cm.

Screenshot_2015-03-29_at_3.18.05_pm

What is the length of the missing side?

Possible Answers:

$4\:cm$ $\displaystyle 4\:cm$

$9\:cm$ $\displaystyle 9\:cm$

$6\:cm$ $\displaystyle 6\:cm$

$12\:cm$ $\displaystyle 12\:cm$

$10\:cm$ $\displaystyle 10\:cm$

Correct answer:

$9\:cm$ $\displaystyle 9\:cm$

Explanation:

To find the perimeter of a trapezoid, add up the lengths of the four sides. In the given trapezoid,

$x+8\:cm+12\:cm+6\:cm=35\:cm$ $\displaystyle x+8\:cm+12\:cm+6\:cm=35\:cm$

To find the missing side, combine like terms and solve for $\displaystyle x$ .

$x+26\:cm=35\:cm$ $\displaystyle x+26\:cm=35\:cm$

$x+26\:cm-26\:cm=35\:cm-26\:cm$ $\displaystyle x+26\:cm-26\:cm=35\:cm-26\:cm$

$x=35\:cm-26\:cm=9\:cm$ $\displaystyle x=35\:cm-26\:cm=9\:cm$

The length of the missing side is thus $9\:cm$ $\displaystyle 9\:cm$ .

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Example Question #241 : Geometry

Screenshot_2015-03-29_at_3.18.30_pm

What is the perimeter of the above trapezoid?

Possible Answers:

$35\:cm$ $\displaystyle 35\:cm$

$38\:cm$ $\displaystyle 38\:cm$

$28\:cm$ $\displaystyle 28\:cm$

$30\:cm$ $\displaystyle 30\:cm$

$33\:cm$ $\displaystyle 33\:cm$

Correct answer:

$33\:cm$ $\displaystyle 33\:cm$

Explanation:

To find the perimeter of a trapezoid, add up the lengths of the four sides. In the given trapezoid,

$9\:cm+7\:cm+8\:cm+12\:cm=33\:cm$ $\displaystyle 9\:cm+7\:cm+8\:cm+12\:cm=33\:cm$

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Example Question #1 : Parallelograms

Ted drew the parallelogram shown below.

Screenshot_2015-03-26_at_3.21.53_pm

What is the perimeter of the parallelogram?

Possible Answers:

13 feet

17 feet

12 feet

40 feet

26 feet

Correct answer:

26 feet

Explanation:

The perimeter of a parallelogram can be found by summing the lengths of each of the sides. In a parallelogram, opposite sides have the same length. Therefore, you should use the equation 8 + 8 + 5 + 5 = P. The perimeter of the parallelogram is 26 feet.

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Example Question #2 : Parallelograms

Guillermo drew the parallelogram below.

Screenshot_2015-03-26_at_3.32.40_pm

What is the perimeter of the parallelogram?

Possible Answers:

40 millimeters

72 millimeters

26 millimeters

20 millimeters

42 millimeters

Correct answer:

40 millimeters

Explanation:

The perimeter of a parallelogram can be found by summing the lengths of each of the sides. In a parallelogram, opposite sides have the same length. Therefore, you should use the equation 8 + 8 + 12 + 12 = P. The perimeter of the parallelogram is 40 feet.

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Example Question #11 : Plane Geometry

Find the perimeter of the following parallelogram.

Possible Answers:

$\displaystyle 24$

$\displaystyle 15$

$\displaystyle 8$

$\displaystyle 12$

Correct answer:

$\displaystyle 24$

Explanation:

We plug in our values into the equation for the perimeter:

$\displaystyle P=2(7)+2(5)=24$

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Example Question #246 : Geometry

Find the perimeter of the following parallelogram.

Possible Answers:

$\displaystyle 15$

$\displaystyle 19$

$\displaystyle 25$

$\displaystyle 38$

Correct answer:

$\displaystyle 38$

Explanation:

We plug in our values into the equation for the perimeter:

$\displaystyle P=2(10)+2(9)=38$

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Example Question #3 : Parallelograms

Find the perimeter of the following parallelogram.

Possible Answers:

$\displaystyle 25$

$\displaystyle 28$

$\displaystyle 32$

$\displaystyle 30$

$\displaystyle 38$

Correct answer:

$\displaystyle 38$

Explanation:

We plug in our values into the equation for the perimeter:

$\displaystyle P=2(10)+2(9)=38$

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Example Question #12 : How To Find The Perimeter Of A Figure

What is the perimeter of the polygon below?

Possible Answers:

45in $\displaystyle 45in$

46in $\displaystyle 46in$

48in $\displaystyle 48in$

47in $\displaystyle 47in$

43in $\displaystyle 43in$

Correct answer:

48in $\displaystyle 48in$

Explanation:

To find the area of a perimeter, we add all of the side lengths together.

$\displaystyle 9+15+6+8+3+7=48$

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Example Question #1 : Parallelograms

What is the perimeter of the polygon below?

Possible Answers:

32in $\displaystyle 32in$

31in $\displaystyle 31in$

30in $\displaystyle 30in$

33in $\displaystyle 33in$

38in $\displaystyle 38in$

Correct answer:

32in $\displaystyle 32in$

Explanation:

To find the area of a perimeter, we add all of the side lengths together.

$\displaystyle 8+7+4+1+4+8=32$

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Example Question #13 : How To Find The Perimeter Of A Figure

What is the perimeter of the polygon below?

Possible Answers:

42in $\displaystyle 42in$

43in $\displaystyle 43in$

41in $\displaystyle 41in$

44in $\displaystyle 44in$

40in $\displaystyle 40in$

Correct answer:

42in $\displaystyle 42in$

Explanation:

To find the area of a perimeter, we add all of the side lengths together.

$\displaystyle 12+5+8+4+4+9=42$

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All ISEE Lower Level Quantitative Resources

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ISEE Lower Level Quantitative : Plane Geometry

Study concepts, example questions & explanations for ISEE Lower Level Quantitative

All ISEE Lower Level Quantitative Resources

Example Questions

Example Question #11 : Quadrilaterals

Example Question #241 : Geometry

Example Question #1 : Parallelograms

Example Question #2 : Parallelograms

Example Question #11 : Plane Geometry

Example Question #246 : Geometry

Example Question #3 : Parallelograms

Example Question #12 : How To Find The Perimeter Of A Figure

Example Question #1 : Parallelograms

Example Question #13 : How To Find The Perimeter Of A Figure

All ISEE Lower Level Quantitative Resources

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