Secondary Level Mathematics: Math 20

Math 20 Concept G: Angles and Polygons
Note: Computer software such as GeoDraw (IBM) or Geometric Supposer (Triangles) or (Circles) could be used throughout this Geometry unit. Foundational Objectives

To develop the ability to identify pairs of congruent triangles and to employ the congruence postulates SSS, SAS, ASA, AAS, or HL in guided proofs showing such congruences. (10 07 01). Supported by learning objectives 1 to 5.
To demonstrate the ability to apply the concepts of similar polygons and scale factors to determine the surface area and/or volume of similar polygons or solids. (10 07 02). Supported by learning objectives 8 to 15.
To provide a reasonable explanation for congruences of pairs of triangles, or for corresponding parts of congruent triangles (10 07 03). Supported by learning objectives 6 and 7.

Objectives

G.1
To informally and formally construct congruent angles and congruent triangles.

G.2
To determine the properties of congruent triangles.

G.3
To identify and state corresponding parts of congruent triangles.

G.4
To determine whether triangles are congruent by SSS, SAS, ASA, AAS, or HL.

G.5
To prove that two triangles are congruent by supplying the statements and reasons in a guided deductive proof.

G.6
To prove triangles congruent by SSS, SAS, AAS, ASA, or HL in a two-column deductive proof or paragraph form.

G.7
To prove corresponding parts of congruent triangles are congruent.

G.8
To identify similar polygons.

G.9
To determine the measure of corresponding angles in two similar polygons.

G.10
To calculate the scale factor of two similar polygons.

G.11
To calculate the length of a missing side of two similar polygons.

G.12
To show that two triangles are similar by the Angle Angle Similarity Theorem. (Postulate in some resource texts).

G.13
To calculate the length of a missing side in two similar right triangles.

G.14
To solve problems involving similar triangles, and other polygons.

G.15
To determine surface area and volumes of similar polygons or solids.

Math 20Concept G: Angles and Polygons

Foundational Objectives

Math 20
Concept G: Angles and Polygons