Take turns with your partner stating steps in the proof that figure \(ABCD\) is congruent to figure \(EFGH\).5: If necessary, reflect the image of figure \(QRS\) across \(XY\) to be sure the image of \(S\), which we will call \(S'\), is on the same side of \(XY\) as \(Z\).4: Since points \(S'\) and \(Z\) are the same distance along the same ray from \(Y\), they have to be in the same place.Apply that rigid motion to figure \(QRS\). Therefore, there is a rigid motion that takes \(QR\) to \(XY\). shapes with straight and curved sides cone- three. Two segments are congruent if and only if they have the same length. 3: Segments \(QR\) and \(XY\) are the same length, so they are congruent. that cuts an angle exactly in half, making two equal angles attribute- a. The following two theorems (Segment and Angle Congruence) also follow directly.2: \(S'\) must be on ray \(YZ\) since both \(S'\) and \(Z\) are on the same side of \(XY\) and make the same angle with it at \(Y\).Also have students use the different colors as they do their constructions. Standard Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations given two. 1: Therefore, figure \(QRS\) is congruent to figure \(XYZ\). Use different-colored ink/pencils for line segments, congruent angles, bisectors, etc., so that students can physically see the different steps. Cluster Understand congruence and similarity using physical models, transparencies, or geometry software.
Put them in order to write a proof about figures \(QRS\) and \(XYZ\).
Here are some statements about 2 zigzags.
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