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McGraw Hill Integrated II, 2012 View details

5. Isosceles and Equilateral Triangles

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Exercise 56 Page 382

△ ADC and and △ ABC share the same side AC.

△ ADC≅ △ ABC

Practice makes perfect

Let's begin by placing the given angle measures on the figure.

Notice that △ ADC and and △ ABC share the same side AC. In this case, two angles and the non-included side of △ ADC are congruent to two angles and the non-included side of △ ABC. Thus, △ ADC≅ △ ABC by the Angle-Angle-Side Theorem.