ISEE Lower Level Quantitative : Geometry

Study concepts, example questions & explanations for ISEE Lower Level Quantitative

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Example Questions

Example Question #11 : How To Find Symmetry

Line segment  goes exactly halfway across a sheet of paper. If the sheet of paper has a width of  inches, how long is line segment ?

Possible Answers:

 

 

 

 

Correct answer:

 

Explanation:

Since the length of line segment  is half of , convert  to a mixed number. 



Then divide  by .



Then convert  to a mixed number. 




Example Question #771 : Geometry

The Johnson family had an extension put onto their driveway that doubled the width of the driveway. If their driveway was originally  feet wide, how wide is their new driveway? 

Possible Answers:

 

 

 

Correct answer:

 

Explanation:

Since the original driveway was half the width of the new driveway, multiply  by .


Example Question #541 : Plane Geometry

Line segment  is twice as long as line segment  and half as long as line segment . If line segment  is  meters, how long is line segment ?

Possible Answers:

 

 

Correct answer:

 

Explanation:

Since line segment  is half the length of line segment  we need to divide  by .


Example Question #772 : Geometry

How many lines of symmetry does an octagon have?

Possible Answers:

Correct answer:

Explanation:

A line of symmetry divides a shape into two equal and identical halves. Any regular shape has as many lines of symmetry as it does sides. Since octagons have eight sides, the correct answer is 8.

Example Question #773 : Geometry

Do the black lines in the figure represent lines of symmetry? 

10

Possible Answers:

Yes

No

Correct answer:

Yes

Explanation:

When you are trying to decide if a line represents a line of symmetry you can think about folding the figure across that line. Once you make the fold, do all of the parts line up on top?

If yes, then the line represents a line of symmetry. 

If no, then the line does not represent a line of symmetry. 

10

These lines represent lines of symmetry because if you fold on the black lines, then one side would lay on top of the other and the parts would match up. 

Example Question #21 : How To Find Symmetry

Does the black line in the figure represent a line of symmetry? 


9

Possible Answers:

Yes

No

Correct answer:

Yes

Explanation:

When you are trying to decide if a line represents a line of symmetry you can think about folding the figure across that line. Once you make the fold, do all of the parts line up on top?

If yes, then the line represents a line of symmetry. 

If no, then the line does not represent a line of symmetry. 

9

This line represents a line of symmetry because if you fold on the black line, then one side would lay on top of the other and the parts would match up. 

Example Question #21 : How To Find Symmetry

Do the black lines in the figure represent lines of symmetry? 

8

Possible Answers:

No

Yes

Correct answer:

Yes

Explanation:

When you are trying to decide if a line represents a line of symmetry you can think about folding the figure across that line. Once you make the fold, do all of the parts line up on top?

If yes, then the line represents a line of symmetry. 

If no, then the line does not represent a line of symmetry. 

8

These lines represent lines of symmetry because if you fold on the black lines, then one side would lay on top of the other and the parts would match up. 

Example Question #22 : How To Find Symmetry

Do the black lines in the figure represent lines of symmetry? 

7

Possible Answers:

No

Yes

Correct answer:

No

Explanation:

When you are trying to decide if a line represents a line of symmetry you can think about folding the figure across that line. Once you make the fold, do all of the parts line up on top?

If yes, then the line represents a line of symmetry. 

If no, then the line does not represent a line of symmetry. 

 7

These lines do not represent lines of symmetry because if you fold on the black lines,  one side will not lay on top of the other with parts that match up. 

Example Question #774 : Geometry

Does the black line in the figure represent a line of symmetry? 

6

Possible Answers:

No

Yes

Correct answer:

No

Explanation:

When you are trying to decide if a line represents a line of symmetry you can think about folding the figure across that line. Once you make the fold, do all of the parts line up on top?

If yes, then the line represents a line of symmetry. 

If no, then the line does not represent a line of symmetry. 

 6

This line does not represents a line of symmetry because if you fold on the black line,  one side will not lay on top of the other with parts that match up. 

Example Question #1091 : Common Core Math: Grade 4

Do the black lines in the figure represent lines of symmetry? 

5

Possible Answers:

No

Yes

Correct answer:

No

Explanation:

When you are trying to decide if a line represents a line of symmetry you can think about folding the figure across that line. Once you make the fold, do all of the parts line up on top?

If yes, then the line represents a line of symmetry. 

If no, then the line does not represent a line of symmetry. 

 5

These lines do not represent lines of symmetry because if you fold on the black lines,  one side will not lay on top of the other with parts that match up. 

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