Before we begin type the line "y=0". Where does the line fall?
What kind of line was created when you graphed line y=0
Now try typing in the line "x=0". Where does the line fall?
How is this line different from y=0
Let 𝑆 be the figure as shown below.Let there be a translation along vector 𝑣⃗, let there be the rotation around point 𝐴, −90 degrees (clockwise), and let there be the reflection across line 𝐿.
Show the location of 𝑆 after performing the following sequence.
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.
Reflect triangle 𝐴BC across the vertical line, parallel to the 𝑦𝑦-axis, going through point (1, 0). Label the transformed points 𝐴, 𝐵, 𝐶 as 𝐴′, 𝐵′, 𝐶′, respectively.
Reflect triangle 𝐴′𝐵′𝐶′ across the horizontal line, parallel to the 𝑥𝑥-axis going through point (0, −1). Label the transformed points of 𝐴′, 𝐵′, 𝐶′ as 𝐴′′, 𝐵′′, 𝐶′′, respectively.
Is there a single rigid motion that would map triangle 𝐴BC to triangle 𝐴′′𝐵′′𝐶′′?