Triangle Transformations and Congruence

The video tutorial by Mr. Weaver covers 8th grade geometry, focusing on congruence and transformations. It explains how transformations like translations, reflections, and rotations preserve the shape and size of figures, making them congruent. The tutorial includes examples of determining congruence through sequences of transformations, such as mapping triangles and trapezoids. It also guides on identifying transformations by analyzing the order and orientation of vertices.

Which of the following transformations does NOT change the size or shape of a figure?

• Rotation

• Reflection

• Dilation

• Translation

What is the result called when multiple transformations are applied to a figure?

• Single Transformation

• Transformation Chain

• Transformation Sequence

• Transformation Composition

How can you determine if two triangles are congruent using transformations?

• By checking their colors

• By applying a sequence of transformations

• By measuring their sides

• By comparing their areas

Which transformation is used first to map triangle ABC onto triangle XYZ in the example?

• Reflection

• Rotation

• Translation

• Dilation

What is the final step to map triangle DEF onto triangle HGI?

• Translate down six units

• Translate one unit to the right

• Reflect over the x-axis

• Rotate 90 degrees clockwise

Why are trapezoid EFHG and trapezoid IJKL not congruent?

• They are different colors

• They have different angles

• They cannot be mapped using transformations

• They have different side lengths

What indicates a reflection has occurred in a transformation sequence?

• The figure is larger

• The orientation is reversed

• The figure is rotated

• The figure is smaller

How can you identify a rotation transformation?

• The figure is flipped

• The figure is moved to a new position

• The orientation remains the same but positions change

• The figure is enlarged

What is the center of rotation in a transformation?

• The point that moves the most

• The point where the figure is largest

• The point that remains fixed

• The point where the figure is smallest

Which transformation sequence correctly maps a figure onto its congruent counterpart?

• Reflect, then translate

• Translate, then reflect

• Reflect, then rotate

• Rotate, then translate