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jeyben [28]
3 years ago
15

8. Find the congruence transformation that maps ∆ABC to ∆A’B’C’. Explain your reasoning

Mathematics
1 answer:
puteri [66]3 years ago
6 0
The transformation is a reflection on the y-axis. 

If we take the y-axis as the mirror line as shown in the diagram below, we can see that the distance of vertices A, B, and C to the mirror line are equals to the distance of vertices A', B' and C' to the mirror line. 

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What is the area of triangle EDF?
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Answer:

4.5

Step-by-step explanation:

∠BAC ~ ∠EDF means that the triangles are similar. So the legs of the triangle share the same proportions, even if the sizes are different.

Since they share the same proportions, the same operations can be performed on each base to find the area.

The answer can be found with the knowledge that the area of a triangle is half of the height * width. You know the width of ∠BAC is 4, and the area is 8, so 16 (the area doubled) / 4 is the height. The width and height of ∠BAC are the same, and since the proportions are also the same, the width and height of ∠EDF are both 3. So the area is the width (3) times the height (3) divided by 2.

3*3 = 9

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