Are the triangles congruent (part 3)?

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2016-01-18 05:57

In collections Congruence (CO) Cluster Congruence (Vol 1) Congruence (Vol 1) Over 80 Resources CCSS High School: Geometry (Congruence) Volume 1 S N ATTAR Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1 CCSS High School: Geometry (Congruence) Volume 1

This example demonstrates how to use given measurement tools to establish that the corresponding sides of triangle ABS and triangle A'B'C' have equal lengths, proving the congruence of the triangles. The core mathematical concept involves triangle congruence criteria, where precise measurements and comparisons of corresponding sides are used to verify congruence. The construction utilizes GeoGebra commands and objects such as Polygon, Circle, Segment, Point, Angle, Rotate, and elements like points A, B, C, poly1, c, a, b, etc., to provide a visual and interactive understanding of geometric figures. This example is suitable for middle school mathematics education, helping students grasp the criteria for triangle congruence and their practical applications.

GeoGebra Commands & Parameters

Polygon(A, B, C) → poly1, c, a, b
Circle(E, 1.5) → d
Segment(E, F) → e
Point(d) → G
Segment(G, E) → f
Angle(F, E, G) → α
Rotate(A, 165*°, O) → A'
Rotate(B, 165*°, O) → B'
Rotate(C, 165*°, O) → C'
Polygon(A', B', C') → poly1', c', a', b'