Rigid Transformations and Triangle Properties

The video tutorial explains rigid transformations, focusing on rotations. It demonstrates using an app to find midpoints and the center of rotation, and shows how to rotate triangle ABC to match triangle CFG. The process involves rotating the triangle in 10-degree increments until a 90-degree rotation is achieved, confirming CFG as a rotated copy of ABC.

What is a rigid transformation?

• A transformation that changes the size of a shape

• A transformation that alters the angles of a shape

• A transformation that only changes the position of a shape

• A transformation that maintains the size and angles of a shape

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

• Reflection

• Rotation

• Translation

• Dilation

What is the first step in using the app to find the center of rotation?

• Select the triangle

• Draw perpendicular arrows

• Find the midpoint of line segments

• Rotate the triangle

Why is finding the midpoint of line segments important?

• It is crucial for finding the center of rotation

• It determines the size of the triangle

• It helps in drawing the triangle

• It changes the angles of the triangle

What do you do after finding the midpoints of the line segments?

• Draw arrows from the midpoints

• Reflect the triangle

• Rotate the triangle

• Change the size of the triangle

How do you determine the center of rotation?

• By drawing arrows from the vertices

• By finding where perpendicular arrows intersect

• By calculating the area

• By measuring the angles

What is the result of rotating triangle ABC by 90 degrees?

• It matches triangle CFG

• It becomes a different triangle

• It changes its size

• It reflects over a line

Which triangle is a rotated copy of ABC?

• Triangle DEF

• Triangle GHI

• Triangle JKL

• Triangle CFG

What is the degree of rotation used to match triangle ABC to CFG?

• 60 degrees

• 120 degrees

• 45 degrees

• 90 degrees

What confirms that CFG is a rigid transformation of ABC?

• The triangles have different side lengths

• The triangles have different angles

• The triangles are in different positions

• The triangles overlap perfectly after rotation