Math Example--Geometric Transformation--Translating Triangles--Example 7

Topic

Transformations

Description

A triangle is translated 4 units up and 5 units left, showing the original ABC and translated A'B'C' triangles. Example 7: "Draw the triangle that results from the following translation: 4 units up, 5 units left." Solution: "Identify one point to translate. Then complete the triangle."

In this topic, students explore transformations, focusing specifically on translating triangles. These examples visually demonstrate how shapes move within a coordinate plane, reinforcing understanding of shifts along axes. Translation examples assist in grasping the basic concept of shifting figures without altering their orientation or shape.

Exposure to multiple examples allows students to observe how variations in translations affect a shape's position, aiding in a deeper comprehension of the concept. By analyzing numerous worked-out examples, students can identify patterns and develop strategies for solving similar problems independently.

Teacher’s Script: In this example, the triangle is translated as described in the instructions. Observe how each vertex moves exactly and units translated A'B'C' triangles. Pay attention to how this translation affects the overall position of the triangle while maintaining its shape and orientation.

For a complete collection of math examples related to Transformations click on this link: Math Examples: Translating Triangles Collection.