# Congruence-creating a triangle

posted by .

Three segments are given.

I need to draw one segment with the same length as any one of the given segments.

Then take the measure of another given segment with my compass and draw a cirlce of that radius from the endpoint of my first segment.

The question is:
1. What is true of any segment that connects this endpoint of the first segment to a point on the circle? Why?

2. Connect both endpoints of the first segment to one of the points where the circles intersect. What is true of the figure you just created? Why?

Truth: The segment created will be the same length as the measure of the given segment: why? it was measured beforehand.

The figure you just created is a triangle with sides congruent to the three segments originally given.

I am not certain of the point of this exercise.

## Similar Questions

1. ### Math

A 24-cm segment is divided into two segments. One segment is three times as long as the other. Find the lenghts of both segments.
2. ### math

you can draw one segment to connect two points and three distinct segments to connect three named points. how many segments can you drawto connect five points if no three of the points lie on the same line.........please help me i …
3. ### math

you can draw one segment to connect two points and three distinct segments to connect three named points. how many segments can you drawto connect five points if no three of the points lie on the same line.........please help me i …
4. ### geometry

a line segment is divided into two segments that are in a ratio 4 to 7. the measure of one segment is 15 inches longer than the measure of the other. Find the measure of each segment.
5. ### geometry

a line segment is divided into two segments that are in a ratio 4 to 7. the measure of one segment is 15 inches longer than the measure of the other. Find the measure of each segment.
6. ### Geometry

a line segment is divided into two segments that are in a ratio 4 to 7. the measure of one segment is 15 inches longer than the measure of the other. Find the measure of each segment.
7. ### Geometry

a line segment is divided into two segments that are in a ratio 4 to 7. the measure of one segment is 15 inches longer than the measure of the other. Find the measure of each segment.
8. ### Geometry

Use the given plan to write a two-column proof of the Symmetric Property of Congruence. Given: segment AB ≅ segment EF Prove: segment EF ≅ segment AB Plan: Use the definition of congruent segments to write segment AB ≅ …
9. ### geometry

Which of these is a correct step in constructing congruent line segments?
10. ### Geometry

Theorem: A line parallel to one side of a triangle divides the other two proportionately. In the figure below, segment DE is parallel to segment BC and segment EF is parallel to AB: The figure shows triangle ABC with segments DE and …

More Similar Questions

Post a New Question