Congruence

10th grade

Experiment with transformations in the plane

Why Should You Learn About Planar Figures?

What Are Edges, Vertices and Angles?

What Are Acute, Obtuse and Right Angles?

Represent transformations in the plane

What Is a Translation in the Coordinate Plane?

Describe rotations and reflections

How Do You Rotate a Polygon 90° about the Origin?

How Do You Rotate a Polygon 180° about the Origin?

Develop definitions of rotations, reflections and translations

What Is a Rotation in the Coordinate Plane?

How Do You Rotate a Point 270° about the Origin?

How Do You Rotate a Point 180° about the Origin?

What Is a Reflection in the Coordinate Plane?

Experiment with transformations in the plane

How Do You Reflect a Polygon over the x or y-axis?

How Do You Reflect a Polygon over a 45-Degree Diagonal Line?

How Do You Calculate the Coordinates of a Translated Polygon?

How Do You Calculate the Original Coordinates of a Translated Polygon?

Dilations in the Coordinate Plane

What Is a Dilation In the Coordinate Plane?

How Do You Calculate the Scale Factor of a Dilation?

How Do You Find the Center of Dilation?

How Do You Dilate a Polygon With the Origin as the Center of Dilation?

How Do You Dilate a Polygon When the Origin Is Not the Center of Dilation?

Understand triangle congruence

What Is Congruence?

What Are Congruent Triangles?

What Is the AAS Congruence Rule?

What Is the ASA Congruence Rule?

What Is the SAS Congruence Rule?

Make geometric constructions

How to construct two parallel lines?

Steps to construct a parallel line through a point

Constructing a 60°, 30° or 15° Angle

Constructing a 90°, 45° or 22.5° Angle

Make larger geometric constructions

Construction of Larger Figures

Examples of Larger Construcions