All SSAT Upper Level Math Resources
Example Questions
Example Question #2 : Shape Properties
Which of the shapes is NOT a quadrilateral?
Rhombus
Square
Trapezoid
Rectangle
Hexagon
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?
Rectangle
Rhombus
Square
Kite
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 #51 : Geometry
What is the difference between a trapezoid and a isosceles trapezoid?
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
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 #1 : Understand Categories And Subcategories Of Two Dimensional Figures: Ccss.Math.Content.5.G.B.3
Which shape is NOT a quadrilateral?
Kite
Rectangle
Rhombus
Trapezoid
Circle
Circle
A quadrilateral has to have sides, a circle does not have any sides.
Example Question #831 : Geometry
What other shape can a parallelogram be classified as?
Rhombus
Square
Rectangle
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 #1053 : Ssat Upper Level Quantitative (Math)
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 #1 : Understand Categories And Subcategories Of Two Dimensional Figures: Ccss.Math.Content.5.G.B.3
What two shapes can a square be classified as?
Rectangle and Rhombus
Trapezoid and Rhombus
Rhombus and Triangle
Trapezoid 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.
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 #1 : 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:
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