Posted by **Troy** on Thursday, February 2, 2012 at 10:00pm.

You are given two segments, AB with AB = 4 and CD with CD = 7. You want to construct a new segment, EF with EF = 1. If you can use only congruent-segments construction, explain how you would use AB and CD to construct EF.

- Geometry -
**Steve**, Friday, February 3, 2012 at 11:26am
Draw a line segment of sufficient length

Set your compass to length AB.

Mark off two segments of length AB on the new line. Call the endpoints E and G. EG has length 4+4=8.

Set the compass to the length of CD, or 7.

Place the compass at G and mark a point on EG between E and G. Call that F.

GF = 7, and EF = 1

## Answer This Question

## Related Questions

- geometry - You are given two segments, with AB = 4 and with CD = 7. Explain how...
- Geometry - You are given two segments, LineAB with AB = 4 and LineCD with CD = 7...
- Geometry - Use the given plan to write a two-column proof of the Symmetric ...
- Geometry - Given: A(3,-1), B(5,2), C(-2,0), P(-3,4), Q(-5,-3), R(-6,2). Prove: ...
- Geometry - Help? 1. In your own words, explain why we use the formula AB = |a - ...
- Geometry - Given: A(3,-1), B(5,2), C(-2,0), P(-3,4), Q(-5,-3), R(-6,2). Prove: ...
- Geometry - Given: A(3,-1), B(5,2), C(-2,0), P(-3,4), Q(-5,-3), R(-6,2). Prove: ...
- Math - 1. Name one pair of congruent angles. (1 point) ?PQR and ?VST ?PRQ and ?...
- Congruence-creating a triangle - Three segments are given. I need to draw one ...
- Geometry - Describe the difference between saying that two segments are ...

More Related Questions