What composite transformations could be used to have triangle 1 turn into triangle 2?
1 answer:
Answer:
see below
Step-by-step explanation:
The vertex order has been reversed, so a reflection is involved. The direction of the short side has been changed by 90°, so a rotation is potentially involved. Depending on the precise rotation and/or reflections, translation may be involved.
One potential set of transformations is ...
- rotate 90° CW about the origin
- translate left 1 and down 3
- reflect across the y-axis
Another potential set of transformations (shown below) is ...
- reflect across the line x+y=1
- translate down 4
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=
=
Now we know the two longest sides of the first triangle (24in and 26in) we can compare them with the two longest sides of the second triangle.
If
⇒
Finally, we need to multiply the smallest side of the first triangle by the scale factor to find the shortest side of the second triangle.
So the length of the shortest side of the other triangle is 15in.
You could, instead, calculate the length of the shortest side of the second triangle by using Pythagoras' theorem and ignoring the first triangle completely.