Answer:
(x, y) ⇒ (-x, y)
Step-by-step explanation:
When you're looking for a rule that transforms one figure to the other, the first step is to look at the figures. You want to identify their orientation (order of vertices) and the relative locations of corresponding vertices.
Here, vertices VWX are in <em>clockwise</em> order. The corresponding vertices V'W'X' are in <em>counterclockwise</em> order. For that to happen, there must be a reflection involved.
The y-axis goes through the midpoints of VV', WW' and XX'. This means the y-axis is the line of reflection. The coordinates of V'W'X' have the same y-values as their originals, but their x-values have changed sign.
The algebraic rule for these two figures is ...
(x, y) ⇒ (-x, y) . . . . . . reflection over y-axis; sign of x changes
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<em>Additional comment</em>
No rotation is involved here.
The rule (x, y) ⇒ (x, y+10) means the y-coordinate has had 10 added to it. That causes a translation upward by 10 units. This <em>is</em> the algebraic rule.
Answer:
Part A: yes
Part B: yes
Part C: yes
Step-by-step explanation:
Part A:
77² + 420² = 427²
5,929 + 176,400 = 182,329
182,329 = 182,329
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Part B:
279² + 440² = 521²
77,841 + 193,600 = 271,441
271,441 = 271,441
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Part C:
39² + 760² = 761²
1,521 + 577,600 = 579,121
579121 = 579,121
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If you're looking for a simple percentage, the answer would be 15.47%
