Common Core: High School - Geometry : Use Geometric Shapes to Describe Objects: CCSS.Math.Content.HSG-MG.A.1

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Example Question #1 : Use Geometric Shapes To Describe Objects: Ccss.Math.Content.Hsg Mg.A.1

Identify all of the different shapes that make up the following figure of a two-dimensional boat.

Boat

Possible Answers:

Triangle, Rectangle

Trapezoid, Triangle, Rectangle

Polygon, Rectangle

Square, Trapezoid, Triangle

Trapezoid, Equilateral Triangle

Correct answer:

Trapezoid, Triangle, Rectangle

Explanation:

In the world around us, all figures can be looked at in geometric shapes.

Looking at the two-dimensional boat,

Boat

the boat can be broken down into three geometric shapes. The bottom of the boat is a trapezoid, the pole in the center of the boat is a rectangle and the sail is a triangle.

Example Question #2 : Use Geometric Shapes To Describe Objects: Ccss.Math.Content.Hsg Mg.A.1

Identify all of the different shapes that make up the following figure of a two-dimensional wagon.

Wagon

Possible Answers:

Rectangle, Circle, Quadrilateral 

Circle, Square, Parallelogram

None of the answers

Parallelogram, Rectangle

Rectangle, Circle

Correct answer:

Rectangle, Circle, Quadrilateral 

Explanation:

In the world around us, all figures can be looked at in geometric shapes.

Looking at the following  two-dimensional wagon,

Wagon

the figure can be broken down into three different shapes. The body of the wagon is a rectangle, the wheels are seen geometrically as circles and the handle is a quadrilateral. 

Recall that to be a square, the quadrilateral has to have four equal side lengths.

A parallelogram must have opposite parallel sides, this particular figure doesn't give enough information to determine whether the handle is a parallelogram.

A quadrilateral is a more correct statement as it describes a figure with four sides.

Therefore, the correct answer is, "Rectangle, Circle, Quadrilateral".

Example Question #3 : Use Geometric Shapes To Describe Objects: Ccss.Math.Content.Hsg Mg.A.1

Identify all of the different shapes that make up the following figure of a two-dimensional flagpole.

Flagpole

Possible Answers:

Rectangle, Triangle

Rectangle, Trapezoid

Square, Trapezoid

Square, Triangle

None of the other answers

Correct answer:

Rectangle, Triangle

Explanation:

In the world around us, all figures can be looked at in geometric shapes.

Looking at the two-dimensional flagpole,

Flagpole

the flagpole can be broken down into two geometric shapes. The pole portion of the flagpole can be described as a rectangle and the flag is in the shape of a triangle.

Example Question #4 : Use Geometric Shapes To Describe Objects: Ccss.Math.Content.Hsg Mg.A.1

Identify all of the different shapes that make up the following figure of a two-dimensional stop light.

Stoplight

Possible Answers:

Rectangle, Triangle

Rectangle, Trapezoid

None of the other answers

Rectangle, Circle

Square, Circle

Correct answer:

Rectangle, Circle

Explanation:

In the world around us, all figures can be looked at in geometric shapes.

Looking at the two-dimensional stop light,

Stoplight

the figure can be broken down into two geometric shapes. The outside portion of the stop light is a rectangle and the lights are in the form of circles.

 

Example Question #5 : Use Geometric Shapes To Describe Objects: Ccss.Math.Content.Hsg Mg.A.1

Identify all of the different shapes that make up the following figure of a two-dimensional non traditional stop sign.

Stopsign

Possible Answers:

None of the other answers

Octagon, Rectangle

Rectangle, Square

Hexagon, Rectangle

Hexagon, Octagon

Correct answer:

Hexagon, Rectangle

Explanation:

In the world around us, all figures can be looked at in geometric shapes.

Looking at the two-dimensional non traditional stop sign,

Stopsign

the figure can be broken down into two geometric shapes. It is important to point out that this stop sign is a non traditional one. Normal stop signs are octagons which have eight sides. This particular stop side only has six sides and is therefore a hexagon. Therefore, this non traditional stop sign can be broken down into a hexagon and a rectangle.

Example Question #6 : Use Geometric Shapes To Describe Objects: Ccss.Math.Content.Hsg Mg.A.1

Objects in the real world can be described in geometric shapes. What geometric shape describes a water silo?

Possible Answers:

Cylinder

Sphere

Triangle Prism

None of the other answers

Rectangle Prism

Correct answer:

Cylinder

Explanation:

In the three-dimensional world a water silo has a bottom and top in the shape of a circle. The three-dimensional connection between the top and the bottom creates a cylinder. Therefore, the geometric shape that best describes the silo is a cylinder.

Example Question #7 : Use Geometric Shapes To Describe Objects: Ccss.Math.Content.Hsg Mg.A.1

Objects in the real world can be described in geometric shapes. What geometric shape describes a basketball?

Possible Answers:

Circle

Cylinder

Circular Prism

Sphere

Rectangle

Correct answer:

Sphere

Explanation:

A basketball is a three-dimensional object that when cut down the middle has a circular base. The geometric shape that describes a basketball is known as a sphere.

Example Question #8 : Use Geometric Shapes To Describe Objects: Ccss.Math.Content.Hsg Mg.A.1

Sally orders a pair of shoes from an online store. The box that the shoes arrived in can be described as what geometric shape?

Possible Answers:

Sphere

None of the others.

Cylinder

Triangular Prism

Rectangular Prism

Correct answer:

Rectangular Prism

Explanation:

A box in three-dimensional space can be describes as either a cube or a rectangular prism depending on the side lengths. Since rectangular prism is the only option available, this is the best option. Most shoe boxes in general are rectangular prisms since shoes are longer than they are wide.

Example Question #9 : Use Geometric Shapes To Describe Objects: Ccss.Math.Content.Hsg Mg.A.1

Identify all of the different shapes that make up the following figure of a two-dimensional snowman.

Snowman

Possible Answers:

Circle, Line

Circle

None of the other answers.

Oval, Triangle

Line

Correct answer:

Circle, Line

Explanation:

In the world around us, all figures can be looked at in geometric shapes.

Looking at the two-dimensional snowman,

Snowman

the figure can be broken down into one main geometric shape, a circle. The base, torso, and head of the snowman are all circles and the arms are lines. Therefore, the geometric shapes of the two-dimensional snowman are circles and lines.

Example Question #10 : Use Geometric Shapes To Describe Objects: Ccss.Math.Content.Hsg Mg.A.1

Identify all of the different shapes that make up the following figure of a three-dimensional open box.

Open box

Possible Answers:

Rectangular Prism, Rectangle

Rectangular Prism, Cube

Cube, Rectangle

None of the other answers

Cube

Correct answer:

Rectangular Prism, Rectangle

Explanation:

In the world around us, all figures can be looked at in geometric shapes.

Looking at the three-dimensional open box,

Open box

two figure can be broken down into two main shapes, one which is a three-dimensional shape and the other is a two-dimensional shape. The box itself can be described as a rectangular prism. The lid of the box, which is up and thus making the box open is a rectangle.

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