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CAHSEE Math 5.3 Measurement and Geometry 283 Views
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Description:
Measurement and Geometry: Drill Set 5, Problem 3. Which of the following figures shown on the same coordinate axis would be the resulting triangle?
Transcript
- 00:03
Here’s your shmoop du jour…
- 00:06
Jake’s favorite way to mess with his roommate Blake is to continually move his stuff around.
- 00:10
Like… Blake’s unusual collection of signed… triangles.The triangle XYZ is shown below.
- 00:16
If this triangle is translated +2 units on the x-axis and -2 units on the y-axis,
- 00:22
the resulting triangle X'Y'Z' would be which of the following figures shown on the same coordinate axis?
Full Transcript
- 00:31
And here are the potential answers...
- 00:37
OK, so this question is asking us about translation.
- 00:40
A translation of 2 on the x-axis, the horizontal axis, moves the whole triangle to the right 2 units.
- 00:47
Similarly, a translation of negative 2 on
- 00:50
the y-axis, the vertical axis, means a shift of 2 units down for the entire triangle.
- 00:56
Since both translations move the entire triangle, this also means that any point on the triangle
- 01:01
XYZ undergoes the same translation.
- 01:04
We can focus on just one point of the triangle, like X, on the triangle XYZ.
- 01:09
It has coordinates (-4, 4).
- 01:12
Undergoing the translation of 2 to the right and 2 down, the new point, X', should have
- 01:16
coordinates (-4 + 2, 4 - 2) or (-2, 2).
- 01:22
The only triangle with X' having these coordinates is triangle D.
- 01:25
Our answer is D.
- 01:29
As in, "Don't touch my things!”
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