Chapter 7: Congruence and Coordinate Geometry

Can I identify important quantities in situations and describe their relationships using graphs?

Mathematically proficient students:

Understand congruence in terms of rigid motion. (G.CO.6, G.CO.8)
Use coordinates to prove simple geometric theorems algebraically. (G.GPE.4, G.GPE.7)

I can determine the effect of a given rigid motion. (G.CO.6)
I can use ratios (scale factors) of corresponding sides of similar shapes to calculate lengths of missing sides. (G.SRT.2)
I can identify and explain whether a system of linear equations has one solution, no solutions, or infinitely many solutions. (A.REI.6)

I can use a sequence of rigid transformations (visualized or drawn) to identify pairs of congruent triangles and write a congruence statement. (G.CO.6)
I can prove triangle congruence using SSS ≅, ASA ≅, AAS ≅, HL ≅, and SAS ≅ and write a congruence statement. (G.CO.8)

Assessment Bank - Chapter 7

Chapter 7 Student Pacing Chart

Chapter 7 Teacher Pacing Chart

Chapter 7 Opening Teacher Notes
7.1.1: Are the polygons congruent? Defining Congruence
7.1.2: Do I need to know ever measurement? Conditions for the Triangle Congruence
7.1.3: How can I organize my information? Creating a Flowchart
7.1.4: Are the triangles congruent? Justifying Triangle Congruence Using Flowcharts
7.1.5: How else can I determine congruence? More Condition for Triangle Congruence
7.1.6: How can I prove it? Congruence of Triangles Through Rigid Transformations
7.1.7: Are the triangles congruent? More Congruence Flowcharts
7.2.1: What makes a quadrilateral special? Studying Quadrilaterals on a Coordinate Grid
7.2.2: How can I find the midpoint? Coordinate Geometry and Midpoints
7.2.3: What kind of quadrilateral is it? Identifying Quadrilaterals on a Coordinate Grid
Chapter 7 Closure