Triangle Congruence and Transformations

This video tutorial covers lesson 4.7 on congruence transformations. It explains the types of transformations: reflection, translation, and rotation, and how they maintain the size and shape of figures. The video provides examples of each transformation type and discusses how to verify congruence transformations using the side-side-side postulate and distance formula. The tutorial emphasizes the importance of identifying and verifying transformations to ensure congruence.

What is a transformation called when a shape flips over?

• Translation

• Rotation

• Scaling

• Reflection

Which transformation involves a shape sliding from one position to another?

• Reflection

• Rotation

• Translation

• Dilation

When a shape turns around a point, what type of transformation is it?

• Shearing

• Reflection

• Translation

• Rotation

If a shape can be seen as both sliding and flipping, what are the possible transformations?

• Either Reflection or Translation

• Only Translation

• Only Reflection

• Neither Reflection nor Translation

What is the first step in verifying a congruence transformation?

• Measure the angles of the shapes

• Ensure the shapes are the same size and shape

• Check if the shapes are similar

• Count the number of sides

Which postulate is used to verify that two triangles are congruent?

• Angle-Side-Angle

• Side-Side-Side

• Side-Angle-Side

• Angle-Angle-Angle

How do you find the length of a diagonal side when verifying congruence?

• Use the distance formula

• Use a ruler

• Estimate visually

• Count the grid squares

What is the result when all three pairs of sides in two triangles are congruent?

• The triangles are different

• The triangles are similar

• The triangles are congruent

• The triangles are identical

What should you do if a side is horizontal or vertical when verifying congruence?

• Ignore the side

• Use the distance formula

• Measure with a protractor

• Count the distance

What is the final step in verifying a congruence transformation?

• Ensure all side pairs are congruent

• Compare the areas

• Check the angles

• Measure the perimeter