How to find symmetry of a line - SSAT Elementary Level Quantitative (Math)

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Question

Number_line_midpoint

is the midpoint of the number line that extends from to . What is the value of ?

Answer

Find the average of the two endpoints to find their midpoint. To find the average of two numbers, add them together and divide by two.

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Question

The length of a certain line is inches. If this line is cut in half, how long is each half?

Answer

Divide the length of the line by 2 to find the length of each half:

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Question

How many lines of symmetry does a square have?

Answer

A line of symmetry is the imaginary line that you draw through a shape so that you can fold the image over the line and have both halves match exactly. Any regular shape has as many lines of symmetry as it does sides. Since a square has four sides, the correct answer is 4!

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Question

How many lines of symmetry does an octagon have?

Answer

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.

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Question

How many lines of symmetry does a rectangle have?

Answer

A line of symmetry is the imaginary line that you draw through a shape so that you can fold the image over the line and have both halves match exactly. Any regular shape has as many lines of symmetry as it does total sides. Since a rectangle has four sides, the correct answer is 4!

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Question

How many lines of symmetry does an octagon have?

Answer

A line of symmetry is the imaginary line that you draw through a shape so that you can fold the image over the line and have both halves match exactly. Any regular shape has as many lines of symmetry as it does sides. Since an octagon has eight sides, the correct answer is .

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Question

How many lines of symmetry does the figure have? This is not an equilateral triangle.

Screen shot 2015 11 04 at 7.55.37 pm

Answer

There is only one line of symmetry in this figure. It would be right down the middle. Screen shot 2015 11 04 at 8.10.37 pm

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