SSAT Elementary Level Math : Plane Geometry
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Example Questions
Example Question #651 : Plane Geometry
Use the following to answer the question.
Find the perimeter of the triangle.
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
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.
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.
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:
Find the perimeter.
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
we can see it has sides of length 11cm, 6cm, and 12cm. So, we can substitute. We get
Example Question #651 : Plane Geometry
Which is true about a ray?
A ray extends indefinitely in both directions.
A ray is always shaped like a circle.
A ray is a line with a start point, but no end point.
A ray has three end points.
A ray is always shorter than a line segment.
A ray is a line with a start point, but no end point.
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 #2 : Lines
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?
height of the fence
area of the yard
perimeter of the yard
volume of the yard
perimeter of the yard
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 #3 : Lines
Line AC is 12 inches long. If Point B is located in the center of Line AC, how many inches long is Line BC?
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 #4 : Lines
A line is 
You must add the start point to the length of the line to find the end point of the line.
Example Question #5 : Lines
A pentagon has ____ sides.
A pentagon has five sides.
Example Question #6 : Lines
Line AC is 24 inches long. If Point B is the midpoint of Line AC, how many inches long is Line BC?
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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