turkey-yks 2020 Q31

turkey-yks · Other · yks-tyt Straight Lines & Coordinate Geometry Geometric Figure on Coordinate Plane

5 identical isosceles right triangles with right-angled side lengths of 1 unit are arranged as shown in Figure 1 such that their hypotenuses are on the same line and the vertices of adjacent triangles coincide.
Then triangle $ABC$ is rotated around point $A$ by some amount, and as shown in Figure 2, points B, C, and D become collinear.
Accordingly, what is the distance between points C and D in the final position in units?
A) 4
B) 5
C) 6
D) $3\sqrt{2}$
E) $4\sqrt{2}$

5 identical isosceles right triangles with right-angled side lengths of 1 unit are arranged as shown in Figure 1 such that their hypotenuses are on the same line and the vertices of adjacent triangles coincide.

Then triangle $ABC$ is rotated around point $A$ by some amount, and as shown in Figure 2, points B, C, and D become collinear.

Accordingly, what is the distance between points C and D in the final position in units?\\
A) 4\\
B) 5\\
C) 6\\
D) $3\sqrt{2}$\\
E) $4\sqrt{2}$

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