Rigid Transformations in Geometry

This video tutorial explains how to use rigid transformations to identify congruent triangles. It covers the three main types of rigid transformations: rotation, reflection, and translation, which preserve side lengths and angles. The video provides examples of congruence through translation and rotation, demonstrating how these transformations result in congruent triangles. It concludes with a summary of the key concepts discussed.

What is the primary purpose of using rigid transformations in geometry?

• To change the size of a figure

• To recognize congruent triangles

• To alter the shape of a figure

• To create new angles

Which of the following is NOT a type of rigid transformation?

• Rotation

• Reflection

• Translation

• Dilation

What does a rigid transformation preserve?

• Only side lengths

• Only angle measures

• Both side lengths and angle measures

• Neither side lengths nor angle measures

Which of the following is a property of a rigid transformation?

• It modifies the angles of a figure

• It alters the perimeter of a figure

• It preserves the orientation of a figure

• It changes the area of a figure

What is the result of applying a sequence of rigid transformations to a triangle?

• A congruent triangle

• A similar but not congruent triangle

• A triangle with different angles

• A triangle with different side lengths

In the example of triangles JKL and QRS, what transformation is applied?

• Dilation

• Rotation

• Reflection

• Translation

How many units is triangle JKL translated to the right from triangle QRS?

• 15 units

• 20 units

• 10 units

• 5 units

Which theorem could also be used to prove the congruence of triangles JKL and QRS?

• Side-Angle-Side

• Angle-Angle

• Hypotenuse-Leg

• Angle-Side-Angle

Which side of triangle JKL is congruent to side QR of triangle QRS?

• Side JK

• Side KL

• Side JL

• Side LK

In the example of triangles JKM and WXY, what transformation is applied?

• Rotation

• Reflection

• Dilation

• Translation