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Published byJeremiah Linden Modified over 5 years ago

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**Honors Geometry Section 4.1 Congruent Polygons**

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To name a polygon, start at any vertex and go around the figure, either clockwise or counterclockwise , and name the vertices in order. Example 1: Give two (out of 12) possible names for the hexagon at the right. DEMONS MEDSNO

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**In simple terms, two polygons are congruent if they have exactly the same size and shape.**

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More formally, two polygons are congruent iff their vertices can be paired so that corresponding angles and sides are congruent.

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**Example 2. List the congruent sides and angles in the quadrilaterals below.**

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When naming congruent polygons, you must list the corresponding vertices in order. This is known as a congruence statement.

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**Example 3: Complete this congruence statement using the figure above: quad GONE quad ____**

YATS

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By looking at a congruence statement, you can determine the pairs of corresponding parts. Example 4: Use the statement to fill in the blanks.

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To prove two triangles are congruent using the definition of congruent polygons, one must show that all 6 pairs of corresponding parts are congruent.

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Given Isosceles Triangle Theorem Definition of Midpoint Def. of Perpendicular Lines Right Angle Theorem Def. of Angle Bisector Reflexive Property Def. of cong. polygons

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In subsequent sections, you will see that it is possible to prove that some triangles are congruent by using only three pairs of congruent parts!

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