Download Sample 5.3.B.2 Complete

G.CO.6-8
2011
Domain Congruence
Cluster Understand congruence in terms of rigid motions
Standards 6. Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a
given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.
7. Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding
pairs of sides and corresponding pairs of angles are congruent.
8. Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid
motions.
Essential Questions
Enduring Understandings
What types of motion in the
1. Students will know that
plane maintain the
rigid transformations
congruence of a figure?
preserve size and shape
or distance and angles,
within the concept of
Content Statements
congruency.
1. Review identification
2. Based on rigid motion,
and definitions of three
students will be able to
basic transformations
develop and explain the
including isometries.
triangle congruency
2. Students will apply the
based on the following
criteria for figure
criteria: ASA, SSS, SAS.
congruence, i.e.
corresponding parts of
congruent triangles.
Assessments
Activities, Investigation, and Student Experiences
1. Given two triangles, prove they are congruent based on
congruency definitions and thereoms.
2. Given three points, students will prove that these are the
vertices of an isosceles triangle, translate this figure 5
units to the right, and prove that the final image is
congruent to the pre-image.
3. Each student to make a quilt block using congruent right
triangles with specific measure. Then combine all
students work to create a class quilt.
4.
G.CO.6-8
Equipment Needed:
2011
Teacher Resources:
Njctl.org/courses/math/geometry (NEED WHOLE LINK)