All SSAT Upper Level Math Resources
Example Questions
Example Question #582 : Plane Geometry
Which of the shapes is NOT a quadrilateral?
Rectangle
Square
Rhombus
Hexagon
Trapezoid
Hexagon
A quadrilateral is a sided shape. The only shape listed that does not have
sides is a hexagon, which has
sides.
Example Question #96 : Areas And Perimeters Of Polygons
Which of the following shapes is NOT a parallelogram?
Rectangle
Kite
Square
Rhombus
Kite
A rectangle, square, and rhombus can all be classified as a parallelogram because each shape has opposite side lengths that are equal. A kite does not.
Example Question #11 : How To Find The Area Of A Parallelogram
What is the difference between a trapezoid and a isosceles trapezoid?
An isosceles trapezoid has to have equal side lengths
There is no difference between them
An isosceles trapezoid has to have equal base angles
A trapezoid has to have equal side lengths
A trapezoid has to have equal base angles
An isosceles trapezoid has to have equal base angles
By definition, an isosceles trapezoid has to have equal base angles, but a trapezoid does not have to have equal angles.
Example Question #4 : Shape Properties
Which shape is NOT a quadrilateral?
Kite
Rhombus
Rectangle
Trapezoid
Circle
Circle
A quadrilateral has to have sides, a circle does not have any sides.
Example Question #12 : How To Find The Area Of A Parallelogram
What other shape can a parallelogram be classified as?
Rectangle
Rhombus
Square
Quadrilateral
Triangle
Quadrilateral
A parallelogram can not be classified as a square because a square has to have equal sides, but a parallelogram can have two different side lengths, as long as the opposite side lengths are equal.
A parallelogram can not be classified as a rectangle because a rectangle has to have angles, and a parallelogram does not.
A parallelogram can not be classified as a triangle because a parallelogram has to have sides and a triangle only has
sides.
A parallelogram can not be classified as a rhombus because a rhombus has to have equal sides and a parallelogram does not.
A parallelogram has four sides, and all shapes with four sides are quadrilaterals.
Example Question #831 : Geometry
Figure NOT drawn to scale.
The above depicts Rhombus , which has perimeter 80.
.
Give the area of Rhombus .
The area of any parallelogram is the product of the length of its base and that of a corresponding altitude. We can take as a base and perpendicular
as an altitude.
All four sides of a rhombus have the same length, so we can find by dividing the perimeter - the sum of the lengths of the four sides - by 4:
Now multiply the lengths of this base and the altitude to get the area:
Example Question #13 : How To Find The Area Of A Parallelogram
What two shapes can a square be classified as?
Rectangle and Triangle
Trapezoid and Rhombus
Rhombus and Triangle
Trapezoid and Triangle
Rectangle and Rhombus
Rectangle and Rhombus
A square can also be a rectangle and a rhombus because a rectangle has to have at least sets of equal side lengths and a rhombus has to have
equal side lengths, like a square, and at least
sets of equal angles.
Example Question #1 : How To Find The Perimeter Of A Parallelogram
The base length of a parallelogram is which is two times more than its side length. Give the perimeter of the parallelogram in terms of
.
The side length is half of the base length:
The perimeter of a parallelogram is:
Where:
is the base length of the parallelogram and
is the side length
Example Question #1 : How To Find The Perimeter Of A Parallelogram
The side length of a parallelogram is and the base length is three times more than side length. Give the perimeter of the parallelogram in terms of
.
The base length is three times more than the side length, so we have:
Base length
The perimeter of a parallelogram is:
Where:
is the base length of the parallelogram and
is the side length. So we get:
Example Question #3 : How To Find The Perimeter Of A Parallelogram
The base length of a parallelogram is 10 inches and the side length is 6 inches. Give the perimeter of the parallelogram.
Like any polygon, the perimeter of a parallelogram is the total distance around the outside, which can be found by adding together the length of each side. In case of a parallelogram, each pair of opposite sides is the same length, so the perimeter is twice the base plus twice the side length. Or as a formula we can write:
Where:
is the base length of the parallelogram and
is the side length. So we can write:
All SSAT Upper Level Math Resources
