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If AB cong CD then...

If `AB cong CD` then

A

`AB < CD`

B

`AB+CD =0`

C

`AB=CD`

D

`AB > CD`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question "If AB is congruent to CD, then...", we need to understand what congruence means in the context of geometry, particularly with triangles or line segments. ### Step-by-Step Solution: 1. **Understanding Congruence:** - Congruence in geometry means that two figures have the same shape and size. For line segments, this means they have the same length. 2. **Given Information:** - We are given that line segment AB is congruent to line segment CD. This can be written as: \[ AB \cong CD \] 3. **Implication of Congruence:** - Since AB is congruent to CD, we can conclude that the lengths of these segments are equal. Therefore: \[ \text{Length of } AB = \text{Length of } CD \] 4. **Conclusion:** - The statement "If AB is congruent to CD" implies that both segments are equal in length. Thus, we can state: \[ AB = CD \] ### Final Answer: If \( AB \cong CD \), then \( AB = CD \). ---
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