Exploring Dilations in Geometry

This video tutorial covers the concept of dilations on the coordinate plane, focusing on geometric figures. It explains how dilations can either reduce or enlarge figures, depending on the dilation factor. The video provides detailed examples of both reductions and enlargements, demonstrating the calculations involved. It also highlights the effect of different dilation factors on the size of geometric figures, using practical examples to illustrate these transformations.

What does a dilation ratio less than 1 result in for a geometric figure?

• No change in size

• Increase in size

• Decrease in size

• Rotation of the figure

If a triangle undergoes a dilation with a ratio of 1/3, what happens to its size?

• It remains the same size

• It doubles in size

• It reduces to one-third of its original size

• It triples in size

What is the result of multiplying the coordinates of a figure by a ratio greater than 1?

• The figure increases in size

• The figure rotates

• The figure remains unchanged

• The figure decreases in size

How would you describe the image of a figure after a dilation of 1/2?

• Twice the original size

• Half the original size

• One-fourth the original size

• The same size

What does a dilation factor of 3/4 do to a geometric figure?

• Reduces its size to 3/4 of the original

• Increases its size to 4/3 of the original

• Doubles its size

• Leaves it unchanged

What is the effect of a dilation factor of 2 on a figure's dimensions?

• It reduces by half

• It quadruples

• It doubles

• It remains the same

If a dilation ratio of 2.5 is applied, how does the figure change?

• It becomes half its size

• It remains the same size

• It becomes 2.5 times smaller

• It becomes 2.5 times larger

What happens to a figure when it undergoes a dilation with a ratio of 1?

• It becomes smaller

• It becomes larger

• It disappears

• It remains the same size

In the context of geometric dilations, what does a ratio greater than 1 imply?

• The figure shrinks

• The figure grows

• The figure translates

• The figure rotates

How do you calculate the new coordinates of a point after a dilation?

• Add the dilation ratio to each coordinate

• Divide each coordinate by the dilation ratio

• Subtract the dilation ratio from each coordinate

• Multiply each coordinate by the dilation ratio