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SSAT Elementary Level Math : Geometry

Study concepts, example questions & explanations for SSAT Elementary Level Math

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All SSAT Elementary Level Math Resources

12 Diagnostic Tests 526 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #32 : Triangles

The perimeter of an equilateral triangle is 18 cm. Which choice shows the correct side lengths of the triangle?

Possible Answers:

$10cm,\ 4cm,\ 4cm$ $\displaystyle 10cm,\ 4cm,\ 4cm$

$3cm,\ 6cm,\ 9cm$ $\displaystyle 3cm,\ 6cm,\ 9cm$

$6cm, \ 6cm,\ 6cm$ $\displaystyle 6cm, \ 6cm,\ 6cm$

$8cm,\ 6cm,\ 4cm$ $\displaystyle 8cm,\ 6cm,\ 4cm$

$4cm,\ 5cm,\ 5cm$ $\displaystyle 4cm,\ 5cm,\ 5cm$

Correct answer:

$6cm, \ 6cm,\ 6cm$ $\displaystyle 6cm, \ 6cm,\ 6cm$

Explanation:

When finding the perimeter of any triangle, you will need to add all three sides. In this case, it is important to note that this is the perimeter of an equilateral triangle. An equilateral triangle has three equal sides. All the choices add up to 18cm, but only one choice shows three equal sides.

$6cm, \ 6cm,\ 6cm$ $\displaystyle 6cm, \ 6cm,\ 6cm$

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

An equilateral triangle has a side of length 10. What is the perimeter of the triangle?

Possible Answers:

$\displaystyle 40$

$\displaystyle 35$

$\displaystyle 45$

$\displaystyle 30$

$\displaystyle 50$

Correct answer:

$\displaystyle 30$

Explanation:

In an equilateral triangle, all sides are of equal length. The perimeter of a triangle is the sum of the lengths of the three sides. Our equilateral has a side of length 10, so all sides will be equal to 10. We can find the perimeter by adding up 10 three times.

$\displaystyle 10 + 10 + 10 = 30$

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Example Question #33 : Triangles

The perimeter of a scalene triangle is 21 mm. Which choice shows the correct side lengths?

Possible Answers:

$7mm\times3mm$ $\displaystyle 7mm\times3mm$

$\displaystyle 6mm+8mm+7mm$

$\displaystyle 7mm+7mm+7mm$

$\displaystyle 6mm+6mm+9mm$

Correct answer:

$\displaystyle 6mm+8mm+7mm$

Explanation:

When finding the perimeter of any triangle, you will need to add all three sides. In this case, it is important to note that this is the perimeter of a scalene triangle. A scalene triangle has no congruent/equal sides. The only choice that adds up to 21 mm with no equal sides is:

$6\ mm+8\ mm+7\ mm$ $\displaystyle 6\ mm+8\ mm+7\ mm$

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

Screen_shot_2013-12-21_at_3.13.48_pm

What is the perimeter of the above triangle?

Possible Answers:

7.5

Correct answer:

Explanation:

To find the perimeter of a triangle, add all of its three sides. 5 + 4 + 3 = 12

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

Screen_shot_2013-12-24_at_3.59.28_pm

If the blue triangle has three equal sides, what is the triangle's perimeter?

Possible Answers:

$\displaystyle 9$

$\displaystyle 12$

$\displaystyle 18$

$\displaystyle 15$

$\displaystyle 6$

Correct answer:

$\displaystyle 18$

Explanation:

Since the problem asks about an equilateral triangle (one that has three equal sides), we just need to multiply the given side's length by 3.

$6\times 3=18$ $\displaystyle 6\times 3=18$

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Example Question #621 : Geometry

Screen_shot_2014-01-06_at_12.34.19_pm

What is the perimeter of the above triangle?

Possible Answers:

Correct answer:

Explanation:

To find the perimeter of a triangle, simply add all three sides together.

$10 + 6 + 8 = \mathbf{24}$ $\displaystyle 10 + 6 + 8 = \mathbf{24}$

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Example Question #32 : Triangles

A triangle has a perimeter of $\displaystyle 27$ inches. If all its sides are the same length, what is the length of one of its sides?

Possible Answers:

$\displaystyle 9$ inches

$\displaystyle 7$ inches

$\displaystyle 8$ inches

$\displaystyle 20$ inches

$\displaystyle 6$ inches

Correct answer:

$\displaystyle 9$ inches

Explanation:

A triangle has $\displaystyle 3$ sides, and its perimeter is the length of all the sides added together. Since all the sides are the same length, dividing the perimeter by $\displaystyle 3$ will give the length of one side. $\displaystyle 27$ divided by $\displaystyle 3$ is $\displaystyle 9$ inches.

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

You can find the perimeter of a triangle if you know __________.

Possible Answers:

three side lengths

the area

the height and base

its angles

Correct answer:

three side lengths

Explanation:

$Perimeter_{\Delta }= the \;sum \;of \;all \;the\;sides =side_{1} +side_{2}+side_{3}$ $\displaystyle Perimeter_{\Delta }= the \;sum \;of \;all \;the\;sides =side_{1} +side_{2}+side_{3}$

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Example Question #5 : How To Find The Perimeter Of A Triangle

Screen_shot_2014-01-10_at_1.07.49_pm

What is the perimeter of the triangle?

Possible Answers:

$\displaystyle 13$

$\displaystyle 6$

$\displaystyle 12$

$\displaystyle 20$

$\displaystyle 23$

Correct answer:

$\displaystyle 12$

Explanation:

To find the perimeter of a triangle, simply add all three sides together.

$5 + 4 + 3 = \mathbf{12}$ $\displaystyle 5 + 4 + 3 = \mathbf{12}$

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Example Question #622 : Geometry

The perimeter of an isosceles triangle is 22 mm. Which choice shows the correct side lengths of the triangle?

Possible Answers:

$3\ mm+9\ mm+10\ mm$ $\displaystyle 3\ mm+9\ mm+10\ mm$

$8\ mm + 8\ mm+ 6\ mm$ $\displaystyle 8\ mm + 8\ mm+ 6\ mm$

$10\ mm + 8\ mm+ 4\ mm$ $\displaystyle 10\ mm + 8\ mm+ 4\ mm$

$6\ mm + 7\ mm+ 9\ mm$ $\displaystyle 6\ mm + 7\ mm+ 9\ mm$

$7\ mm + 5\ mm+ 10\ mm$ $\displaystyle 7\ mm + 5\ mm+ 10\ mm$

Correct answer:

$8\ mm + 8\ mm+ 6\ mm$ $\displaystyle 8\ mm + 8\ mm+ 6\ mm$

Explanation:

An isosceles triangle has two equal sides, and one different side. All of the answer choices add up to 22 mm, but only one choice shows two equal sides and one different side that add up to 22mm.

$\displaystyle side+side+different=22$

$\displaystyle 8mm+8mm+6mm=22mm$

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All SSAT Elementary Level Math Resources

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SSAT Elementary Level Math : Geometry

Study concepts, example questions & explanations for SSAT Elementary Level Math

All SSAT Elementary Level Math Resources

Example Questions

Example Question #32 : Triangles

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

Example Question #33 : Triangles

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

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

Example Question #621 : Geometry

Example Question #32 : Triangles

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

Example Question #5 : How To Find The Perimeter Of A Triangle

Example Question #622 : Geometry

All SSAT Elementary Level Math Resources

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