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

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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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