Transformations and Reflections in Geometry

The video tutorial covers rigid transformations, including rotations, reflections, and translations. It explores finding the center of rotation for polygons, reflecting shapes across axes, and sequencing transformations. The tutorial also includes practice problems to apply these concepts.

What is the term used to describe movements with rigid transformations?

• Dilation

• Shearing

• Scaling

• Mapping

What is the first step in finding the center of rotation for a 90-degree counterclockwise rotation?

• Measure the angles

• Identify the origin

• Use patty paper to trace the shape

• Draw a line of symmetry

When reflecting a trapezoid across the y-axis, what must be true about the points?

• They must be parallel to the x-axis

• They must form a right angle

• They must be equidistant from the x-axis

• They must be equidistant from the y-axis

What is the result of reflecting a polygon across the x-axis?

• The image is rotated 90 degrees

• The image is identical to the original

• The image is a mirror image across the x-axis

• The image is scaled up

What is the center used for a 180-degree clockwise rotation in the given problem?

• Point (0,-3)

• Point (3,0)

• Point (-3,0)

• Origin (0,0)

What is the first transformation step to map triangle A to triangle B?

• Rotate 90 degrees

• Scale down

• Translate up

• Reflect across the y-axis

In the sequence of transformations, what is the final step to ensure the correct outcome?

• Reflect across a line

• Scale up

• Translate to the right

• Rotate 180 degrees