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 #33 : How To Find The Points On A Coordinate Plane

Starting at the coordinate point shown below, if you move down \(\displaystyle 9\) and to the left \(\displaystyle 2\), what is your new point? 

Screen shot 2015 07 30 at 9.21.38 am

 

Possible Answers:

\(\displaystyle (6,9)\)

\(\displaystyle (10,1)\)

\(\displaystyle (8,3)\)

\(\displaystyle (10,0)\)

\(\displaystyle (9,3)\)

Correct answer:

\(\displaystyle (10,1)\)

Explanation:

The starting point is at \(\displaystyle (12,10)\). When we move up or down we are moving along the \(\displaystyle y\)-axis. When we move to the right or left we are moving along the \(\displaystyle x\)-axis. 

Moving up the \(\displaystyle y\)-axis and moving right on the \(\displaystyle x\)-axis means addition. 

Moving down the \(\displaystyle y\)-axis and moving left on the \(\displaystyle x-\)axis means subtraction. 

Because we are moving down \(\displaystyle 9\), we can subtract \(\displaystyle 9\) from our \(\displaystyle y\) coordinate point and because we are moving to the left \(\displaystyle 2\) we can subtract \(\displaystyle 2\) from our \(\displaystyle x\)coordinate point. 

\(\displaystyle 10-9=1\)

\(\displaystyle 12-2=10\)

\(\displaystyle (10,1)\)

Example Question #944 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Starting at the coordinate point shown below, if you move down \(\displaystyle 2\) and to the right \(\displaystyle 7\), what is your new point? 

Screen shot 2015 07 30 at 9.21.38 am

Possible Answers:

\(\displaystyle (19,8)\)

\(\displaystyle (13,2)\)

\(\displaystyle (6,17)\)

\(\displaystyle (17,6)\)

\(\displaystyle (8,19)\)

Correct answer:

\(\displaystyle (19,8)\)

Explanation:

The starting point is at \(\displaystyle (12,10)\). When we move up or down we are moving along the \(\displaystyle y\)-axis. When we move to the right or left we are moving along the \(\displaystyle x\)-axis. 

Moving up the \(\displaystyle y\)-axis and moving right on the \(\displaystyle x\)-axis means addition. 

Moving down the \(\displaystyle y\)-axis and moving left on the \(\displaystyle x-\)axis means subtraction. 

Because we are moving down \(\displaystyle 2\), we can subtract \(\displaystyle 2\) from our \(\displaystyle y\) coordinate point and because we are moving to the right \(\displaystyle 7\) we can add \(\displaystyle 7\) to our \(\displaystyle x\)coordinate point. 

\(\displaystyle 10-2=8\)

\(\displaystyle 12+7=19\)

\(\displaystyle (19,8)\)

Example Question #41 : Geometry

Starting at the coordinate point shown below, if you move down \(\displaystyle 6\) and to the right \(\displaystyle 4\), what is your new point? 


Screen shot 2015 07 30 at 9.21.38 am

Possible Answers:

\(\displaystyle (11,7)\)

\(\displaystyle (16,4)\)

\(\displaystyle (12,6)\)

\(\displaystyle (10,9)\)

\(\displaystyle (18,2)\)

Correct answer:

\(\displaystyle (16,4)\)

Explanation:

The starting point is at \(\displaystyle (12,10)\). When we move up or down we are moving along the \(\displaystyle y\)-axis. When we move to the right or left we are moving along the \(\displaystyle x\)-axis. 

Moving up the \(\displaystyle y\)-axis and moving right on the \(\displaystyle x\)-axis means addition. 

Moving down the \(\displaystyle y\)-axis and moving left on the \(\displaystyle x-\)axis means subtraction. 

Because we are moving down \(\displaystyle 6\), we can subtract \(\displaystyle 6\) from our \(\displaystyle y\) coordinate point and because we are moving to the right \(\displaystyle 4\) we can add \(\displaystyle 4\) to our \(\displaystyle x\)coordinate point. 

\(\displaystyle 10-6=4\)

\(\displaystyle 12+4=16\)

\(\displaystyle (16,4)\)

Example Question #34 : How To Find The Points On A Coordinate Plane

Starting at the coordinate point shown below, if you move down \(\displaystyle 8\) and to the right \(\displaystyle 3\), what is your new point? 


Screen shot 2015 07 30 at 9.21.38 am

Possible Answers:

\(\displaystyle (15,7)\)

\(\displaystyle (18,3)\)

\(\displaystyle (19,6)\)

\(\displaystyle (17,2)\)

\(\displaystyle (15,2)\)

Correct answer:

\(\displaystyle (15,2)\)

Explanation:

The starting point is at \(\displaystyle (12,10)\). When we move up or down we are moving along the \(\displaystyle y\)-axis. When we move to the right or left we are moving along the \(\displaystyle x\)-axis. 

Moving up the \(\displaystyle y\)-axis and moving right on the \(\displaystyle x\)-axis means addition. 

Moving down the \(\displaystyle y\)-axis and moving left on the \(\displaystyle x-\)axis means subtraction. 

Because we are moving down \(\displaystyle 8\), we can subtract \(\displaystyle 8\) from our \(\displaystyle y\) coordinate point and because we are moving to the right \(\displaystyle 3\) we can add \(\displaystyle 3\) to our \(\displaystyle x\)coordinate point. 

\(\displaystyle 10-8=2\)

\(\displaystyle 12+3=15\)

\(\displaystyle (15,2)\)

Example Question #947 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Starting at the coordinate point shown below, if you move up \(\displaystyle 2\) and to the right \(\displaystyle 7\), what is your new point? 

Screen shot 2015 07 30 at 9.21.38 am

Possible Answers:

\(\displaystyle (13,15)\)

\(\displaystyle (12,17)\)

\(\displaystyle (15,13)\)

\(\displaystyle (9,6)\)

\(\displaystyle (19,12)\)

Correct answer:

\(\displaystyle (19,12)\)

Explanation:

The starting point is at \(\displaystyle (12,10)\). When we move up or down we are moving along the \(\displaystyle y\)-axis. When we move to the right or left we are moving along the \(\displaystyle x\)-axis. 

Moving up the \(\displaystyle y\)-axis and moving right on the \(\displaystyle x\)-axis means addition. 

Moving down the \(\displaystyle y\)-axis and moving left on the \(\displaystyle x-\)axis means subtraction. 

Because we are moving up \(\displaystyle 2\), we can add \(\displaystyle 2\) to our \(\displaystyle y\) coordinate point and because we are moving to the right \(\displaystyle 7\) we can add \(\displaystyle 7\) to our \(\displaystyle x\)coordinate point. 

\(\displaystyle 10+2=12\)

\(\displaystyle 12+7=19\)

\(\displaystyle (19,12)\)

Example Question #948 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Starting at the coordinate point shown below, if you move up \(\displaystyle 9\) and to the right \(\displaystyle 8\), what is your new point? 

Screen shot 2015 07 30 at 9.21.38 am

Possible Answers:

\(\displaystyle (13,4)\)

\(\displaystyle (19,13)\)

\(\displaystyle (20,19)\)

\(\displaystyle (15,5)\)

\(\displaystyle (17,6)\)

Correct answer:

\(\displaystyle (20,19)\)

Explanation:

The starting point is at \(\displaystyle (12,10)\). When we move up or down we are moving along the \(\displaystyle y\)-axis. When we move to the right or left we are moving along the \(\displaystyle x\)-axis. 

Moving up the \(\displaystyle y\)-axis and moving right on the \(\displaystyle x\)-axis means addition. 

Moving down the \(\displaystyle y\)-axis and moving left on the \(\displaystyle x-\)axis means subtraction. 

Because we are moving up \(\displaystyle 9\), we can add \(\displaystyle 9\) to our \(\displaystyle y\) coordinate point and because we are moving to the right \(\displaystyle 8\) we can add \(\displaystyle 8\) to our \(\displaystyle x\)coordinate point. 

\(\displaystyle 10+9=19\)

\(\displaystyle 12+8=20\)

\(\displaystyle (20,19)\)

Example Question #949 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Starting at the coordinate point shown below, if you move up \(\displaystyle 3\) and to the right \(\displaystyle 4\), what is your new point? 

Screen shot 2015 07 30 at 9.21.38 am

Possible Answers:

\(\displaystyle (7,11)\)

\(\displaystyle (11,9)\)

\(\displaystyle (14,12)\)

\(\displaystyle (18,15)\)

\(\displaystyle (16,13)\)

Correct answer:

\(\displaystyle (16,13)\)

Explanation:

The starting point is at \(\displaystyle (12,10)\). When we move up or down we are moving along the \(\displaystyle y\)-axis. When we move to the right or left we are moving along the \(\displaystyle x\)-axis. 

Moving up the \(\displaystyle y\)-axis and moving right on the \(\displaystyle x\)-axis means addition. 

Moving down the \(\displaystyle y\)-axis and moving left on the \(\displaystyle x-\)axis means subtraction. 

Because we are moving up \(\displaystyle 3\), we can add \(\displaystyle 3\) to our \(\displaystyle y\) coordinate point and because we are moving to the right \(\displaystyle 4\) we can add \(\displaystyle 4\) to our \(\displaystyle x\)coordinate point. 

\(\displaystyle 10+3=13\)

\(\displaystyle 12+4=16\)

\(\displaystyle (16,13)\)

Example Question #43 : Geometry

Starting at the coordinate point shown below, if you move up \(\displaystyle 9\) and to the right \(\displaystyle 3\), what is your new point? 


Screen shot 2015 07 30 at 8.51.14 am

Possible Answers:

\(\displaystyle (10,12)\)

\(\displaystyle (3,4)\)

\(\displaystyle (8,14)\)

\(\displaystyle (6,11)\)

\(\displaystyle (18,7)\)

Correct answer:

\(\displaystyle (6,11)\)

Explanation:

The starting point is at \(\displaystyle (3,2)\). When we move up or down we are moving along the \(\displaystyle y\)-axis. When we move to the right or left we are moving along the \(\displaystyle x\)-axis. 

Moving up the \(\displaystyle y\)-axis and moving right on the \(\displaystyle x\)-axis means addition. 

Moving down the \(\displaystyle y\)-axis and moving left on the \(\displaystyle x-\)axis means subtraction. 

Because we are moving up \(\displaystyle 9\), we can add \(\displaystyle 9\) from our \(\displaystyle y\) coordinate point and because we are moving to the right \(\displaystyle 3\) we can add \(\displaystyle 3\) to our \(\displaystyle x\)coordinate point. 

\(\displaystyle 2+9=11\)

\(\displaystyle 3+3=6\)

\(\displaystyle (6,11)\)

Example Question #1 : Understand Categories And Subcategories Of Two Dimensional Figures: Ccss.Math.Content.5.G.B.3

Which of the following shapes is NOT a quadrilateral? 

Possible Answers:

Rhombus

Rectangle 

Kite

Square

Triangle

Correct answer:

Triangle

Explanation:

A quadrilateral is any two-dimensional shape with  \(\displaystyle 4\) sides. The only shape listed that does not have \(\displaystyle 4\) sides is a triangle. 

Example Question #1 : Understand Categories And Subcategories Of Two Dimensional Figures: Ccss.Math.Content.5.G.B.3

What is the main difference between a square and a rectangle?

Possible Answers:

The number of sides they each have 

Their side lengths 

Their color 

Their angle measurments

The sum of their angles 

Correct answer:

Their side lengths 

Explanation:

The only difference between a rectangle and a square is their side lengths. A square has to have \(\displaystyle 4\) equal side lengths, but the opposite side lengths of a rectangle only have to be equal. 

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