Which pair of triangles can be used to show that the slope of line a is the same anywhere along the line?
1 answer:
Answer:
C
Step-by-step explanation:
The pair of triangles in option C (image attached below) shows that the slope of line a is the same anywhere on the line.
Let's check it out:
Slope = rise/run
✔️For the first lower triangle:
Rise = 3.5
Run = 4.5
Slope = 3.5/4.5 ≈ 0.8
✔️For the second upper traingle:
Rise = 4
Run = 5
Slope = 4/5 = 0.8
Therefore, it shows that the slope of the line is the same anywhere along the line of the graph.
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<h3>Answer: Choice B</h3>
Reflection along y axis
Translation: which means we shift 3 units down
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Explanation:
Let's track point A to see how it could move to point A'.
If we were to reflect point A over the vertical y axis, then A(-4,4) would move to (4,4). The x coordinate flips in sign, but the y coordinate stays the same.
The diagram shows that A' is located at (4,1) instead of (4,4). So a y-axis reflection isn't enough to move A to A', but we can shift that reflected point three units down. That will move (4,4) to (4,1) which is exactly where we want to end up. Note how we subtract 3 from the y coordinate and x stays the same. So that explains the notation
Overall, this points to choice B as the final answer. If we apply these steps to points B and C, you should find that they'll land on B' and C' respectively. Apply this to all of the points on the triangle ABC, and it will move everything to triangle A'B'C'.