When numerical expressions have the same value, you say that they are equal (=). Similarly, if two segments have the same length, then the segments are congruent
This means that if
As illustrated above, you can mark segments alike to show that they are congruent. If there is more than one set of congruent segments, you can indicate each set with the same number of marks.
Problem 3 Comparing Segment Lengths
Are
Plan
How do you know if segments are congruent?
Congruent segments have the same length. So find and compare the lengths of
Yes.
✓ Got It?
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- Use the diagram above. Is
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Reasoning To find AC in Problem 3, suppose you subtract
- Use the diagram above. Is
The midpoint of a segment is a point that divides the segment into two congruent segments. A point, line, ray, or other segment that intersects a segment at its midpoint is said to bisect the segment. That point, line, ray, or segment is called a segment bisector.
Table of Contents
- 6-1 The Polygon Angle-Sum Theorems
- 6-2 Properties of Parallelograms
- 6-3 Proving That a Quadrilateral Is a Parallelogram
- 6-4 Properties of Rhombuses, Rectangles, and Squares
- 6-5 Conditions for Rhombuses, Rectangles, and Squares
- 6-6 Trapezoids and Kites
- 6-7 Polygons in the Coordinate Plane
- 6-8 and 6-9 Coordinate Geometry and Coordinate Proofs