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Module 2 Lesson 10 Problem Set

Last updated almost 5 years ago
8 questions
1

Before we begin type the line "y=0". Where does the line fall?

1

What kind of line was created when you graphed line y=0

1

Now try typing in the line "x=0". Where does the line fall?

1

How is this line different from y=0

Work out your transformation on Transparency Paper in your book first. Then submit your final image on the graph below.
1

Let 𝑆 be the figure as shown below.Let there be a translation along vector 𝑣⃗, let there be the rotation around point 𝐴, βˆ’90 degrees (clockwise), and let there be the reflection across line 𝐿.
Show the location of 𝑆 after performing the following sequence.

1

Would the location of the image of 𝑆𝑆 in the previous problem be the same if the translation was performed last instead of first;
that is, does the sequence, translation followed by a rotation followed by a reflection, equal a rotation followed by a reflection followed by a translation? Explain.

1

Reflect triangle 𝐴BC across the vertical line, parallel to the 𝑦𝑦-axis, going through point (1, 0). Label the transformed points 𝐴, 𝐡, 𝐢 as 𝐴′, 𝐡′, 𝐢′, respectively.
Reflect triangle 𝐴′𝐡′𝐢′ across the horizontal line, parallel to the π‘₯π‘₯-axis going through point (0, βˆ’1). Label the transformed points of 𝐴′, 𝐡′, 𝐢′ as 𝐴′′, 𝐡′′, 𝐢′′, respectively.

1

Is there a single rigid motion that would map triangle 𝐴BC to triangle 𝐴′′𝐡′′𝐢′′?