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Chapter 6: Q17. (page 205)

For the following figure, complete the statements by writing <,=,>.

a. XZ__XY+YZ.

b. XZ__XY

c. XZ__YZ

Short Answer

Expert verified

a. XZ=XY+YZ

b. XZ>XY

c.XZ>YZ

Step by step solution

01

a.Step 1- Check the figure.

Consider the figure.

02

Step 2- Step description.

From the figure, XYand YZcoincide on XZ.

Therefore, XZis equal to the sum of both the segments.

03

Step 3- Step description.

Since XZ is equal to the sum of both the segments thus the statement is XZ=XY+YZ.

Thus, the statement is XZ=XY+YZ.

04

b.Step 1- Check the figure.

Consider the figure.

05

Step 2- Step description.

From the figure, XY and YZ coincide on XZ.

Since XZ is equal to the sum of both the segments thus XZ is greater than XY.

06

Step 3- Step description.

Since XZ is greater than XY thus the statement is XZ>XY.

Thus, the statement is XZ>XY.

07

c.Step 1- Check the figure.

Consider the figure.

08

Step 2- Step description.

From the figure, XY and YZ coincide on XZ.

Since XZ is equal to the sum of both the segments thus XZ is greater than YZ.

09

Step 3- Step description.

Since XZ is greater than YZ thus the statement is XZ>YZ.

Thus, the statement is XZ>YZ.

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