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ISEE Lower Level Math : Plane Geometry

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10 Diagnostic Tests 170 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #271 : Plane Geometry

Find the area of the trapezoid.

Possible Answers:

192

168

146

180

Correct answer:

168

Explanation:

Recall the formula for finding the area of a trapezoid:

$\text{Area}=\frac{base_1+base_2}{2}\times(height)$

Now, plug in the values for the bases and the height to find the area.

$\text{Area}=\frac{3+25}{2}\times(12)=168$

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Example Question #272 : Plane Geometry

Set_3

Figure not drawn to scale

Find the perimeter of the trapezoid.

Possible Answers:

$40\ in$

$30\ in$

$46\ in$

$24\ in$

$72\ in$

Correct answer:

$40\ in$

Explanation:

In order to find the perimeter of the trapezoid, you must add up the lengths of all the sides of the trapezoid.

8+10+8+14=40

Because the lengths of the trapezoid are in inches, the answer is 40 in.

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Example Question #2 : How To Find The Perimeter Of A Trapezoid

What would you call a polygon with four sides and four angles, all of different measurements?

Possible Answers:

Rectangle

Square

Rhombus

Quadrilateral

None of these

Correct answer:

Quadrilateral

Explanation:

A quadrilateral has four sides and four angles, but no restrictions on how the lengths or measures are related. Thus, quadrilateral is the right answer.

In squares and rectangles, all four angles measure 90 degrees; thus the angles are all of equal measurements, making square and rectangle incorrect answer choices. A rhombus has two sets of angles of equal measurements, and would also be incorrect.

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Example Question #272 : Plane Geometry

Mrs. Green's garden is shaped like a trapezoid. She wants to build a fence on the perimeter of her garden. The sides of her garden measure 3 ft, 4 ft, 10 ft, 12 ft . How long will the fence need to be?

Possible Answers:

132 ft

124 ft

29 ft

28 ft

34 ft

Correct answer:

29 ft

Explanation:

To calculate the perimeter of a trapezoid, find the sum of the four sides.

P = 3 ft + 4ft + 10ft + 12 ft

P=29ft

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Example Question #3 : How To Find The Perimeter Of A Trapezoid

The perimeter of a trapezoid is two times the base length plus two times the side lengths. True or False?

Possible Answers:

True

False

Correct answer:

False

Explanation:

Since the two base lengths area not the same length, you must add them separately and not just multiple one of the by two.

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Example Question #2 : How To Find The Perimeter Of A Trapezoid

Set_3

Figure not drawn to scale

Find the perimeter of the trapezoid.

Possible Answers:

$34\textup{ in}$

$32\textup{ in}$

$36\textup{ in}$

$38\textup{ in}$

$40\textup{ in}$

Correct answer:

$40\textup{ in}$

Explanation:

In order to find the perimeter of the trapezoid, you must add up the lengths of all the sides of the trapezoid.

8+10+8+14=40

Because the lengths of the trapezoid are in inches, the answer is $40\textup{ in}$

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Example Question #1 : Triangles

The base of triangle ABC is $\dpi{100} 6\ cm$ , it's height $\dpi{100} 12\ cm$ . What is the triangle's area?

Possible Answers:

$\dpi{100} 36\ cm^{2}$

$\dpi{100} 72\ cm^{2}$

$\dpi{100} 18\ cm^{2}$

$\dpi{100} 30\ cm^{2}$

Correct answer:

$\dpi{100} 36\ cm^{2}$

Explanation:

$\dpi{100} Area=\frac{1}{2}\ base\times height$

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Example Question #2 : Triangles

What is the area of a triangle that has a base of $14\ cm$ and a height of $5\ cm.$

Possible Answers:

$38 cm^{2}$

$19 cm^{2 }$

$35 cm^{2}$

$40 cm^{2}$

$42 cm^{2}$

Correct answer:

$35 cm^{2}$

Explanation:

In order to find the area of a triangle, we must use the formula

$\frac{1}{2}\left ( b\cdot h \right )$

So the first thing we must do is multiply the base and height.

$14cm\cdot 5 cm = 70 cm^{2}$

The next thing we must do is find $\frac{1}{2}$ of through multiplication.

$\small \frac{1}{2}$ $\cdot 70 cm^{2}=35 cm^{2}$

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Example Question #1 : How To Find The Area Of A Triangle

Find the area of the triangle:

Question_12

Possible Answers:

Correct answer:

Explanation:

$A=\frac{1}{2}bh$

$A=\frac{1}{2}(10)(7)$

A=(5)(7)=35

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Example Question #4 : Triangles

A triangle has an area of 36 in.². if its base is 6 in., what is its height?

Possible Answers:

$12\ in$

$24\ in$

$6\ in$

$3\ in$

$36\ in$

Correct answer:

$12\ in$

Explanation:

To find the height of the triangle, you must need to plug in what you know (the area and the base of the triangle) into the formula to find the area of the triangle:

$Area=\frac{1}{2}bh$

$36=\frac{1}{2}6h$

Now that you plugged in the area and the base into the formula to find the area of a triangle, you can solve for the height:

Multiply both sides by 2 (the reciprocal of 1/2) to get rid of the fraction

$2*36=\frac{1}{2}6h*2$

72=6h

Divide both sides by 6 to find the height

$\frac{72}{6}=\frac{6}{6}h$

12=1*h Remember that 1*h is the same as

12=h

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All ISEE Lower Level Math Resources

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ISEE Lower Level Math : Plane Geometry

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

All ISEE Lower Level Math Resources

Example Questions

Example Question #271 : Plane Geometry

Example Question #272 : Plane Geometry

Example Question #2 : How To Find The Perimeter Of A Trapezoid

Example Question #272 : Plane Geometry

Example Question #3 : How To Find The Perimeter Of A Trapezoid

Example Question #2 : How To Find The Perimeter Of A Trapezoid

Example Question #1 : Triangles

Example Question #2 : Triangles

Example Question #1 : How To Find The Area Of A Triangle

Example Question #4 : Triangles

All ISEE Lower Level Math Resources

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