Chapter 2

Justification and Similarity

Section 2.1 Justifications

You will review triangle congruence conditions and angle relationships. You will write proofs using flowcharts and learn proof by contradiction.

Desmos - Rigid Transformations Exploration
Desmos - Rigid Transformations Review
2.1.1 Triangle Congruence Theorems (165)
- Triangle Congruence Theorems (SSS, SAS, ASA, AAS, HL)
- 2.1.1 Resource Page
2.1.2 Flowcharts for Congruence (175)
- 2.1.2. Resource Page (Day 1)
- 2.1.2 Resource Page (Day 2) *includes other properties
- 2.1.2 Group Poster Activity
2.1.3 Converses (183)
- 2.1.3 Resource Page
2.1.4 Proof by Contradiction (192)
- 2.1.4 Resource Page
Quiz - 2.1 Justifications

Section 2.2 Similarity

Through an exploration with rubber bands, you will investigate the dilation transformation and determine the common qualities of a figure and its image after a dilation. Then you will learn about the properties of similar figures.

2.2.1 Dilations (202)
Desmos Activity - Dilations
2.2.2 Similarity (215)
Desmos -Intro to Triangle Similarity Proof
Quiz - 2.2 Similarity

Section 2.3 More on Similarity

You will discover the conditions that can be used to determine whether triangles are similar, and you will use flowcharts to organize facts and support your conclusions. You will solve both mathematical and everyday problems involving similar figures and deepen your understanding of proof.