All SSAT Upper Level Math Resources
Example Questions
Example Question #5 : How To Find The Area Of A Parallelogram
Which of the shapes is NOT a quadrilateral?
Square
Hexagon
Trapezoid
Rectangle
Rhombus
Hexagon
A quadrilateral is a sided shape. The only shape listed that does not have sides is a hexagon, which has sides.
Example Question #2 : Understand Categories And Subcategories Of Two Dimensional Figures: Ccss.Math.Content.5.G.B.3
Which of the following shapes is NOT a parallelogram?
Kite
Square
Rhombus
Rectangle
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 #3 : Understand Categories And Subcategories Of Two Dimensional Figures: Ccss.Math.Content.5.G.B.3
What is the difference between a trapezoid and a isosceles trapezoid?
A trapezoid has to have equal base angles
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
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 #8 : Shape Properties
Which shape is NOT a quadrilateral?
Circle
Kite
Rectangle
Rhombus
Trapezoid
Circle
A quadrilateral has to have sides, a circle does not have any sides.
Example Question #11 : How To Find The Area Of A Parallelogram
What other shape can a parallelogram be classified as?
Square
Rectangle
Rhombus
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 #101 : Areas And Perimeters Of Polygons
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 #12 : How To Find The Area Of A Parallelogram
What two shapes can a square be classified as?
Trapezoid and Triangle
Rhombus and Triangle
Rectangle and Rhombus
Trapezoid and Rhombus
Rectangle and Triangle
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 #2 : 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:
Certified Tutor