Congruent Opposite Sides of a Quadrilateral

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2014-06-02 06:12

In collections Congruence (CO) Cluster Congruence (Vol 2) CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2 Gail LeBlancCCSS High School: Geometry (Congruence) Volume 2 CCSS High School: Geometry (Congruence) Volume 2

This example demonstrates the properties and criteria of congruent opposite sides in a parallelogram. Key math concepts include congruence, parallelograms, and polygon properties. Construction highlights involve using GeoGebra commands like Circle, Segment, and Intersect. Suitable for middle school and above students to explore parallelogram theorems and properties, or for mathematical inquiry activities.

GeoGebra Commands & Parameters

Circle(A, B) → c
Circle(A, a) → d
Segment(A, B) → a_1
Circle(B, a) → e
Intersect(c, e, 2) → C
Circle(C, Radius[c]) → f
Intersect(d, f, 2) → E
Segment(E, C) → b
Segment(B, C) → g
Segment(A, E) → h

AI Drawing Prompt Reference

Draw a parallelogram where AB and CD are parallel and equal opposite sides, and BC and AD are also parallel and equal opposite sides. Start by drawing points A and B, then draw two circles with A and B as centers, find their intersection point C, next draw a circle with C as the center, find its other intersection with the first circle to get point E, finally connect points A to E, B to C, C to E, and A to B, ensuring that AB and CD, BC and AD are equal and parallel.

The prompt above was compiled from the original drawing commands and is for reference only.