Geometric Transformations and Properties

The video tutorial covers lesson three practice problems, focusing on translating, rotating, and reflecting images. It explains how to translate an image horizontally, rotate it by 60 and 90 degrees, and reflect it over a line. The tutorial also discusses forming a prism through translation and provides an overview of problem three, which involves translating, rotating, and reflecting a pentagon.

What is the primary direction of movement in a translation of a geometric figure?

• Diagonal

• Vertical

• Horizontal

• Circular

When rotating a figure by 60 degrees on an isometric grid, what strategy can be used to verify the rotation?

• Using a protractor

• Counting along the sides of triangles

• Estimating by eye

• Measuring with a ruler

In a reflection, what type of line connects corresponding points across the line of reflection?

• Horizontal

• Parallel

• Diagonal

• Perpendicular

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

• Connecting corresponding points with a line segment

• Estimating the center by eye

• Drawing a circle

• Using a protractor

How can you verify a 90-degree rotation using a counting strategy?

• Count along the axis and in the direction of rotation

• Use a protractor to measure the angle

• Estimate the angle visually

• Draw a circle around the figure

What is the result of translating a base of a prism to another spot on the grid?

• The prism rotates

• A new base is formed

• The prism becomes a cylinder

• The prism disappears

What type of shapes are the faces of a right prism?

• Parallelograms

• Triangles

• Hexagons

• Circles

In a reflection, what must be true about the distances on either side of the line of reflection?

• They must be different

• They must be infinite

• They must be equal

• They must be zero

What tool can be used in Dosari to assist with a 150-degree rotation?

• Compass

• Calculator

• Protractor

• Ruler

What is the significance of shading the bases and faces of a prism?

• It rotates the prism

• It changes the shape of the prism

• It creates an optical illusion

• It makes the prism disappear