Determine whether the two triangles shown below are similar. If similar, complete the similarity statement and give the reason for the similarity. Δ APT ~ Δ _____ not similar similar; DPE by AA similarity similar; EPD by SAS similarity similar; DPE by ASA similarity similar; EPD by AA similarity similar; EPD by ASA similarity similar; EPD by SAS similarity similar; DPE by SSS similarity similar; DPE by SSS similarity
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(I) tri APT IS SIMILAR TO tri EPD BECAUSE
ANGLE A = ANGLE E (ALTERNATE INTERIOR ANGLES)
ANGLE T = ANGLE D(ALTERNATE INTERIOR ANGLES)
ANGLE P = ANGLE P(VERTICALLY OPPOSITE ANGLES)
THEY BOTH ARE SIMILAR BY AA TEST.
(II) AND TRI DPE IS SIMILAR TO TRI TPA
ANGLE D = ANGLE T (ALTERNATE INTERIOR ANGLES)
ANGLE E = ANGLE A(ALTERNATE INTERIOR ANGLES)
ANGLE P = ANGLE P(VERTICALLY OPPOSITE ANGLES)
THEY BOTH TRI ARE SIMILAR BY AA TEST.
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