ambrose6474 ambrose6474

22-01-2024
Mathematics

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Triangle ABC with vertices A at (0, 0), B at (2, 4), and C at (0, 2), the measure of angle C is 135°, and the measure of angle B is 30° and Triangle DEF with vertices D at (2, 0), E at (4, 4), and F at (4, 2), the measure of angle F is 135°, and the measure of angle D is 30° name the congruent triangles and justify the reason for congruence.
a. ∆ABC ≅ ∆EDF by Side-Side-Side (SSS).
b. ∆ABC ≅ ∆FED by Hypotenuse-Leg (HL).
c. ∆ABC ≅ ∆FDE by Side-Side-Side (SSS).
d. ∆ABC ≅ ∆FDE by Hypotenuse-Leg (HL).

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