Dilation and Coordinate Transformations

This lesson focuses on dilations on the coordinate plane, expanding on concepts introduced in previous lessons. It covers the Fundamental Theorem of Similarity (FTS) and how the scale factor affects dilations. Students learn to dilate points and figures using coordinates and the dilation equation. The lesson includes exercises for practice and instructions for drawing and labeling dilated figures. A summary and homework instructions conclude the lesson.

What is the main focus of lesson six in module three?

• Understanding the properties of triangles

• Learning about dilations on the coordinate plane

• Exploring the concept of symmetry

• Studying the Pythagorean theorem

Which theorem is abbreviated as FTS in the lesson?

• Fundamental Theorem of Calculus

• Fundamental Theorem of Similarity

• Fundamental Theorem of Arithmetic

• Fundamental Theorem of Algebra

What does the dilation equation state?

• The dilation is the original minus the scale factor

• The dilation is the sum of the original and the scale factor

• The dilation is the original divided by the scale factor

• The dilation equals the original multiplied by the scale factor

How do you find the new coordinates after a dilation?

• Divide each coordinate by the scale factor

• Subtract the scale factor from each coordinate

• Add the scale factor to each coordinate

• Multiply each coordinate by the scale factor

What is the result of dilating point A with coordinates (7, 9) by a scale factor of 6?

• (49, 63)

• (42, 54)

• (13, 15)

• (21, 27)

If a point is dilated from the origin by a scale factor of 1/2, what happens to its coordinates?

• They are tripled

• They double

• They remain the same

• They are halved

What is the first step in dilating a figure on a coordinate plane?

• Find the midpoint of the figure

• Draw the figure using a ruler

• Identify the original coordinates

• Calculate the area of the figure

When dilating a quadrilateral, how many prime points do you need to find?

• Five

• Four

• Three

• Two

What should you do if you need more practice with multiplying fractions?

• Ignore it and move on

• Ask a friend for help

• Reach out to the teacher or use online resources

• Skip the exercises

What is the purpose of the exit ticket in this lesson?

• To test your knowledge of the entire module

• To assess your understanding of the day's lesson

• To introduce a new topic

• To provide extra credit