__Congruence__

Congruence Theorems

Congruence Theorems

- Identify congruent and non-congruent figures
- Identify corresponding parts given two congruent figures
- Write congruence statements given congruent figures
- Use the congruence theorems to determine if two figures are congruent

Congruence means exactly the same size and shape. Two figures are congruent if and only if the figures have both the same size and shape.

Let's look at some examples below:

Determine if the figures are congruent:

Corresponding parts are angles or sides that are in the same relative position in both figures. We can determine the corresponding parts of two figures given a diagram or statement.

Given the following diagram, we can determine the corresponding parts by looking at the "tick" marks on the sides and angles of the triangles.

Using the diagram below, determine the six corresponding parts:

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As stated earlier, we can also determine corresponding parts given a statement. A statement is used to show that two figures are congruent. For example, given the following statement,

This means that "A" corresponds with "D", "B" corresponds with "E", and "C" corresponds with "F".

I like to think of a pattern. Since the letters are color coded we can see that it goes red, blue, green and then repeats with red, blue, and green.

I like to think of a pattern. Since the letters are color coded we can see that it goes red, blue, green and then repeats with red, blue, and green.

Given the congruence statement below, determine the six corresponding parts:

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Finally, we can look at the 5 Congruence Theorems!

Click on the images below to learn more about each Congruence Theorem:

Click on the images below to learn more about each Congruence Theorem:

You will take the quiz **after** you have researched and taken notes on the 5 Congruence Theorems.

CLICK HERE FOR QUIZ

CLICK HERE FOR QUIZ

(C) 2017 MATH IN DEMAND