All Common Core: 5th Grade Math Resources
Example Questions
Example Question #3 : Understand Categories And Subcategories Of Two Dimensional Figures: Ccss.Math.Content.5.G.B.3
What two shapes can a square be classified as?
Trapezoid and Triangle
Rhombus and Triangle
Trapezoid and Rhombus
Rectangle 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 #4 : Understand Categories And Subcategories Of Two Dimensional Figures: Ccss.Math.Content.5.G.B.3
What is the main difference between a triangle and a rectangle?
The area
The color
The number of sides
The length of the sides
The volume
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 #5 : Understand Categories And Subcategories Of Two Dimensional Figures: Ccss.Math.Content.5.G.B.3
Which two shapes have to have right angles?
Rectangle and Rhombus
Rectangle and Parallelogram
Square and Rectangle
Square and Rhombus
Square and Parallelogram
Square and Rectangle
By definition, the only two quadrilaterals that have to have right angles, are the square and the rectangle.
Example Question #4 : Understand Categories And Subcategories Of Two Dimensional Figures: Ccss.Math.Content.5.G.B.3
Which of the shapes is NOT a quadrilateral?
Trapezoid
Hexagon
Rectangle
Rhombus
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 : 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
Rhombus
Rectangle
Square
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 #6 : Shape Properties
What is the difference between a trapezoid and a isosceles trapezoid?
A trapezoid has to have equal side lengths
An isosceles trapezoid has to have equal base angles
An isosceles trapezoid has to have equal side lengths
There is no difference between them
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 #7 : Shape Properties
Which shape is NOT a quadrilateral?
Rhombus
Rectangle
Circle
Trapezoid
Kite
Circle
A quadrilateral has to have sides, a circle does not have any sides.
Example Question #6 : Understand Categories And Subcategories Of Two Dimensional Figures: Ccss.Math.Content.5.G.B.3
What is the main difference between a right triangle and an isosceles triangle?
A right triangle has to have a angle and an isosceles triangle has to have equal, base angles.
A right triangle has to have a angle and an isosceles triangle has to have equal, base angles.
A right triangle has to have a angle and an isosceles triangle has to have equal, base angles.
An isosceles triangle has to have a angle and a right triangle has to have equal, base angles.
A right triangle has to have a angle and an isosceles triangle has to have equal, base angles.
A right triangle has to have a angle and an isosceles triangle has to have equal, base angles.
By definition, a right triangle has to have one right angle, or a angle, and an isosceles triangle has equal base angles and two equal side lengths.
Example Question #581 : Plane Geometry
What is the difference between an equilateral triangle and a scalene triangle?
The sum of their side lengths
The sum of their angle measurements
The length of their sides
Their color
The number of side lengths
The length of their sides
Of the choices listed, the main difference between an equilateral triangle and a scalene triangle is their side lengths. An equilateral triangle has to have equal sides, but a scalene triangle can have all different side lengths.
Example Question #11 : Shape Properties
A two-dimensional figure has four sides, the length is 3 centimeters. All of its four angles are right angles. Choose the correct category (or categories) that describes this type of figure.
rectangle
rhombus
square
quadrilateral
All four categories are correct.
All four categories are correct.