Common Core: 7th Grade Math : Geometry

Study concepts, example questions & explanations for Common Core: 7th Grade Math

varsity tutors app store varsity tutors android store

Example Questions

Example Question #11 : Solve Problems Involving Scale Drawings Of Geometric Figures: Ccss.Math.Content.7.G.A.1

The rectangle provided is a scaled drawing of a rectangular yard. Given the scale of , what is the actual width of the yard? 


6

Possible Answers:

Correct answer:

Explanation:

This question is asking us to solve for the actual size of the width of the rectangle, therefore, we first need to recall which side is considered to be the width of the rectangle. 

7

In this example, the width of the rectangle is . We can set up a proportion to solve for the actual length of the rectangle, 

Next, we cross multiply and solve for 

Example Question #11 : Solve Problems Involving Scale Drawings Of Geometric Figures: Ccss.Math.Content.7.G.A.1

The rectangle provided is a scaled drawing of a rectangular yard. Given the scale of , what is the actual length of the yard? 


5

Possible Answers:

Correct answer:

Explanation:

This question is asking us to solve for the actual size of the length of the rectangle, therefore, we first need to recall which side is considered to be the length of the rectangle. 

7

In this example, the length of the rectangle is . We can set up a proportion to solve for the actual length of the rectangle, 

Next, we cross multiply and solve for 

Example Question #1 : Describe The Two Dimensional Figures That Result From Slicing Three Dimensional Figures: Ccss.Math.Content.7.G.A.3

What is the two dimensional shape that is created when the shape provided is sliced vertically? 


Screen shot 2016 02 26 at 10.41.26 am

Possible Answers:

Rectangle 

Triangle

Trapezoid 

Square

Correct answer:

Triangle

Explanation:

A vertical cut is an up and down cut. 

Screen shot 2016 02 26 at 10.47.39 am

This shape is a right rectangular pyramid, which has a base of a rectangle and sides in the shape of triangles; thus,  a vertical cut would make a triangle. 

Example Question #11 : Geometry

What is the two dimensional shape that is created when the shape provided is sliced vertically? 

Screen shot 2016 02 26 at 10.28.17 am

Possible Answers:

Rectangle 

Trapezoid 

Triangle

Right triangle 

Correct answer:

Rectangle 

Explanation:

A vertical cut is an up and down cut. 

Screen shot 2016 02 26 at 10.47.28 am

This shape is rectangular prism, which has a base and sides in the shape of rectangles; thus, the two dimensional shape is a rectangle. 

Example Question #3 : Describe The Two Dimensional Figures That Result From Slicing Three Dimensional Figures: Ccss.Math.Content.7.G.A.3

What is the two dimensional shape that is created when the shape provided is sliced vertically? 

Screen shot 2016 02 26 at 10.29.37 am

Possible Answers:

Trapezoid 

Rectangle 

Square

Triangle 

Correct answer:

Square

Explanation:

A vertical cut is an up and down cut. 

Screen shot 2016 02 26 at 10.47.35 am

This shape is cube, which has a base and sides in the shape of squares; thus, the two dimensional shape is a square. 

Example Question #4 : Describe The Two Dimensional Figures That Result From Slicing Three Dimensional Figures: Ccss.Math.Content.7.G.A.3

What is the two dimensional shape that is created when a rectangular prism is sliced vertically? 

Possible Answers:

Right triangle

Triangle 

Rectangle 

Trapezoid 

Correct answer:

Rectangle 

Explanation:

A vertical cut is an up and down cut. 

Screen shot 2016 02 26 at 10.47.28 am

This shape is rectangular prism, which has a base and sides in the shape of rectangles; thus, the two dimensional shape is a rectangle. 

Example Question #4 : Describe The Two Dimensional Figures That Result From Slicing Three Dimensional Figures: Ccss.Math.Content.7.G.A.3

What is the two dimensional shape that is created when a cube is sliced vertically? 

Possible Answers:

Triangle 

Rectangle 

Square

Right triangle 

Correct answer:

Square

Explanation:

A vertical cut is an up and down cut. 

Screen shot 2016 02 26 at 10.47.35 am

This shape is cube, which has a base and sides in the shape of squares; thus, the two dimensional shape is a square. 

Example Question #12 : Geometry

What is the two dimensional shape that is created when a right rectangular pyramid is sliced vertically? 

Possible Answers:

Square

Trapezoid 

Triangle 

Rectangle 

Correct answer:

Triangle 

Explanation:

A vertical cut is an up and down cut. 

Screen shot 2016 02 26 at 10.47.39 am

This shape is a right rectangular pyramid, which has a base of a rectangle and sides in the shape of triangles; thus,  a vertical cut would make a triangle. 

Example Question #13 : Geometry

What is the two dimensional shape that is created when the shape provided is sliced horizontally? 


Screen shot 2016 02 26 at 10.28.17 am

Possible Answers:

Rectangle 

Right Triangle 

Triangle 

Cube

Correct answer:

Rectangle 

Explanation:

A horizontal cut is a side to side cut. 

Screen shot 2016 02 26 at 10.59.58 am

This shape is rectangular prism, which has a base and sides in the shape of rectangles; thus, the two dimensional shape is a rectangle. 

Example Question #5 : Describe The Two Dimensional Figures That Result From Slicing Three Dimensional Figures: Ccss.Math.Content.7.G.A.3

What is the two dimensional shape that is created when the shape provided is sliced horizontally? 


Screen shot 2016 02 26 at 10.29.37 am

Possible Answers:

Square

Trapezoid 

Triangle 

Rectangle 

Correct answer:

Square

Explanation:

A horizontal cut is a side to side cut. 

Screen shot 2016 02 26 at 11.00.04 am

This shape is cube, which has a base and sides in the shape of squares; thus, the two dimensional shape is a square. 

Learning Tools by Varsity Tutors