SSAT Elementary Level Math : Plane Geometry

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

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Example Questions

Example Question #651 : Plane Geometry

Use the following to answer the question.

Triangle2

Find the perimeter of the triangle.

Possible Answers:

Correct answer:

Explanation:

To find the perimeter of a triangle, we will use the following formula:

where a, b, and c are the lengths of the sides of the triangle.

 

So, in the triangle

Triangle2

we can see the lengths of the sides are 11cm, 12cm, and 6cm.  Knowing this, we can substitute into the formula.  We get

Example Question #652 : Plane Geometry

Find the perimeter of an equilateral triangle with a base of 16in.

Possible Answers:

Correct answer:

Explanation:

To find the perimeter of a triangle, we will use the following formula:

where a, b, and c are the lengths of the sides of the triangle.

 

Now, we know the base of the triangle has a length of 16in.  Because it is an equilateral triangle, all lengths are the same.  Therefore, all lengths are 16in.

Knowing this, we can substitute into the formula.  We get

Example Question #653 : Plane Geometry

The perimeter of an equilateral triangle is 27in.  Find the length of one side of the triangle.

Possible Answers:

Correct answer:

Explanation:

To find the perimeter of an equilateral triangle, we will use this formula:

where a is the length of one side.  Now, to find the length of one side, we will solve for a

We know the perimeter of the triangle is 27in.  So, we will substitute.  We get

 

Therefore, the length of one side of the triangle is 9in.

Example Question #654 : Plane Geometry

Use the following triangle to solve the problem:

Triangle2

Find the perimeter.

Possible Answers:

Correct answer:

Explanation:

To find the perimeter of a triangle, we will use the following formula:

where a, b, and c are the lengths of the sides of the triangle.

 

Now, given the triangle

Triangle2

we can see it has sides of length 11cm, 6cm, and 12cm.  So, we can substitute.  We get

Example Question #5811 : Ssat Elementary Level Quantitative (Math)

Which is true about a ray?

Possible Answers:

A ray is a line with a start point, but no end point. 

A ray is always shaped like a circle.

A ray extends indefinitely in both directions.

A ray is always shorter than a line segment. 

A ray has three end points. 

Correct answer:

A ray is a line with a start point, but no end point. 

Explanation:

A ray always has one start point, and then continues indefinitely in the opposite direction. Line segments are different because they have a defined start and end point. 

Example Question #5812 : Ssat Elementary Level Quantitative (Math)

Alex needs to buy a fence for her yard. She doesn't know how much she needs to surround the entire yard. What does she need to calculate to figure this out?

Possible Answers:

height of the fence

perimeter of the yard

area of the yard

volume of the yard

Correct answer:

perimeter of the yard

Explanation:

Perimeter is the distance around a shape. She needs to know the perimeter of her yard to determine how much fence to buy. 

Example Question #5813 : Ssat Elementary Level Quantitative (Math)

Line AC is 12 inches long. If Point B is located in the center of Line AC, how many inches long is Line BC?

Possible Answers:

Correct answer:

Explanation:

Since Point B is located in the middle of Line AC, it will break Line AC into two equal line segments - Line AB and Line BC. We should divide the original length of Line AC by 2 because we are breaking the original line in half.

Example Question #5814 : Ssat Elementary Level Quantitative (Math)

A line is  inches long on a number line, if the starting point is , what is the end point on the number line?

Possible Answers:

Correct answer:

Explanation:

You must add the start point to the length of the line to find the end point of the line.

Example Question #4 : Lines

A pentagon has ____ sides.

Possible Answers:

Correct answer:

Explanation:

A pentagon has five sides. 

Example Question #5 : Lines

Line AC is 24 inches long. If Point B is the midpoint of Line AC, how many inches long is Line BC?

Possible Answers:

Correct answer:

Explanation:

Point B is the midpoint that breaks Line AC into two line segments of equal length.  Therefore, to find the length of Line BC, divide the length of Line AC by 2:

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