How to find length of a line

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ISEE Lower Level Quantitative Reasoning › How to find length of a line

Questions 1 - 6
1

The length of is and the length of is .

Screenshot_2015-03-29_at_2.20.22_pm

What is the length of segment in terms of and ?

Explanation

Segments and make up segment . Using the segment addition postulate, add the lengths of and to find the length of .

Substitute and :

2

On a number line, what is the length of a line that stretches from \dpi{100} -3 to \dpi{100} 13?

\dpi{100} 16

\dpi{100} 13

\dpi{100} 3

\dpi{100} 10

Explanation

\dpi{100} -3 is \dpi{100} 3 units to the left of zero on the number line. \dpi{100} 13 is \dpi{100} 13 units to the right of zero on the number line.

The length of the line would then be \dpi{100} 13+ 3=16.

3

The length of is and the length of is .

Screenshot_2015-03-29_at_2.20.22_pm

What is the length of in terms of and ?

Explanation

Using the segment addition postulate, we know that . We can substitute and for and and solve for .

Substitute:

Subtract y from both sides:

Simplify:

4

The length of is and the length of is .

Screenshot_2015-03-29_at_2.20.22_pm

What is the length of segment ?

Explanation

Using the segment addition postulate, we know that . We can substitute and for and and solve for .

Substitute:

Subtract y from both sides:

Simplify:

5

The length of BC is x and the length of CE is y.

Screenshot_2015-03-29_at_2.20.22_pm

What is the length of segment ?

Explanation

Segments and make up segment . Using the segment addition postulate, add the lengths of and to find the length of .

Substitute and :

6

If the radius of a circle is equal to , then what is the value of the diameter?

Explanation

The length of a dimater is twice the length of the radius. Given that the length of the radius is , the dimater will be equal to .

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