Mathematics MA2015 (2016) Grade: 9-12 Geometry | 8 ) Explain how the criteria for triangle congruence, angle-side-angle (ASA), side-angle-side (SAS), and side-side-side (SSS), follow from the definition of congruence in terms of rigid motions. [G-CO8]
Alabama Alternate Achievement Standards
|
Mathematics MA2019 (2019) Grade: 9-12 Geometry with Data Analysis | 25. Verify criteria for showing triangles are congruent using a sequence of rigid motions that map one triangle to another.
a. Verify that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.
b. Verify that two triangles are congruent if (but not only if) the following groups of corresponding parts are congruent: angle-side-angle (ASA), side-angle-side (SAS), side-side-side (SSS), and angle-angle-side (AAS).
Example: Given two triangles with two pairs of congruent corresponding sides and a pair of congruent included angles, show that there must be a sequence of rigid motions will map one onto the other. Unpacked Content
Alabama Alternate Achievement Standards
|