All SSAT Upper Level Math Resources
Example Questions
Example Question #3 : Shape Properties
What is the main difference between a triangle and a rectangle?
The number of sides
The color
The volume
The length of the sides
The area
The number of sides
Out of the choices given, the only characteristic used to describe shapes is the number of sides. A triangle has sides and a rectangle has
sides.
Example Question #4 : Shape Properties
Which two shapes have to have right angles?
Rectangle and Rhombus
Square and Rhombus
Rectangle and Parallelogram
Square and Parallelogram
Square and Rectangle
Square and Rectangle
By definition, the only two quadrilaterals that have to have right angles, are the square and the rectangle.
Example Question #4 : Shape Properties
Which of the shapes is NOT a quadrilateral?
Trapezoid
Rhombus
Hexagon
Rectangle
Square
Hexagon
A quadrilateral is a sided shape. The only shape listed that does not have
sides is a hexagon, which has
sides.
Example Question #5 : Shape Properties
Which of the following shapes is NOT a parallelogram?
Kite
Square
Rectangle
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 #7 : Shape Properties
What is the difference between a trapezoid and a isosceles trapezoid?
A trapezoid has to have equal side lengths
A trapezoid has to have equal base angles
There is no difference between them
An isosceles trapezoid has to have equal side lengths
An isosceles 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 #1051 : Ssat Upper Level Quantitative (Math)
Which shape is NOT a quadrilateral?
Trapezoid
Rhombus
Circle
Rectangle
Kite
Circle
A quadrilateral has to have sides, a circle does not have any sides.
Example Question #61 : Area Of Polygons
What other shape can a parallelogram be classified as?
Quadrilateral
Square
Triangle
Rhombus
Rectangle
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 #2 : Shape Properties
What two shapes can a square be classified as?
Trapezoid and Rhombus
Rectangle and Rhombus
Trapezoid and Triangle
Rhombus and Triangle
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.
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