If angle ABC is congruent to angle CBD, find x. A. 75 B. 225 C. 35 D. 25
1 answer:
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Answer:
Corresponding side of AB is FE
Corresponding side of CB is DE
Corresponding side of AC is FD
Step-by-step explanation:
Given
and
See attachment for triangles
Solving (a): Corresponding side of AB
Going by the names of the triangle, the corresponding sides are:
AB and FE; CB and DE; AC and FD
Hence, the corresponding side of AB is FE
Solving (b): Corresponding side of CB
This has been solved in (a) above.
The corresponding side of CB is DE
Solving (c): Corresponding side of AC
This has been solved in (a) above.
The corresponding side of AC is FD
Solving (d): Scale factor from ABC to FED
To do this, we simply divide the lengths of corresponding sides.
The scale factor k is:
Solving (e): Length of DE
We make use of the scale factor calculated in (d) above
Solving (f): Length of FD
Using Pythagoras:
