Common Core: 5th Grade Math : Geometry

Study concepts, example questions & explanations for Common Core: 5th Grade Math

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Example Questions

Example Question #1 : Classify Two Dimensional Figures: Ccss.Math.Content.5.G.B.4

What two shapes have to have two sets of opposite angles that are equal in measure? 

Possible Answers:

Parallelogram and Rhombus

Parallelogram and Kite

Rhombus and Kite

Quadrilateral and Kite

Correct answer:

Parallelogram and Rhombus

Explanation:

A parallelogram and a rhombus have two sets of opposite, equal angles. 

A kite only has one set of opposite, equal angles and a quadrilateral does not have to have any equal angles. 

Example Question #1981 : Common Core Math: Grade 5

Which shape has two sets of opposite, equal angles? 

Possible Answers:

Rhombus

Quadrilateral 

Trapezoid 

Kite

Correct answer:

Rhombus

Explanation:

A rhombas has two sets of opposite, equal angles. 

A kite has to one one set of opposite, equal angles.

A quadrilateral and trapezoid do not have to have any equal angles. 

Example Question #1982 : Common Core Math: Grade 5

Which shape can have all sides of varying length? 

Possible Answers:

Parallelogram 

Rectangle

Square

Quadrilateral 

Correct answer:

Quadrilateral 

Explanation:

A quadrilateral has to have  side lengths, but they can all cary in size. 

A square has  equal sides.

A rectangle and parallelogram have opposite, equal side lengths. 

Example Question #11 : Classify Two Dimensional Figures: Ccss.Math.Content.5.G.B.4

A right triangle has to have an angle that measures __________ degrees.

Possible Answers:

Correct answer:

Explanation:

A right triangle has to have a right angle, which is equal to . The image below is an example:

Screen shot 2020 09 14 at 4.10.41 pm

Example Question #12 : Classify Two Dimensional Figures: Ccss.Math.Content.5.G.B.4

What is the name for the two-dimensional figure below?

Screen shot 2020 09 14 at 4.11.36 pm

Possible Answers:

Pentagon

Octagon

Heptagon

Hexagon

Correct answer:

Pentagon

Explanation:

The two-dimensional figure shown in the image is a pentagon. A pentagon is classified by having five sides, five angles, and five vertices. A pentagon has interior angles that add to 540 degrees. Regular pentagons have sides of equal length and interior angles of 108 degrees.

Example Question #13 : Classify Two Dimensional Figures: Ccss.Math.Content.5.G.B.4

The triangle below can be classified as what type of triangle? 

Screen shot 2020 09 14 at 4.14.32 pm

Possible Answers:

Equilateral triangle

Isosceles triangle

Scalene triangle

Right triangle

Correct answer:

Scalene triangle

Explanation:

This triangle is a scalene triangle because all of the side lengths are different lengths.

This is not an equilateral triangle because an equilateral triangle has to have all sides equal in length. 

This is not an isosceles triangle because an isosceles triangle has two equal sides. 

This is not a right triangle because a right triangle has to have a right angle, an angle that measures .

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