Given: ΔABC isosceles
and the line AD cuts the side BC.
Are ΔADC and ΔADB congruent?
And if so, according to which congruence theorem?
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Given: ΔABC isosceles
and the line AD cuts the side BC.
Are ΔADC and ΔADB congruent?
And if so, according to which congruence theorem?
Since we know that the triangle is isosceles, we can establish that AC=AB and that
AD=AD since it is a common side to the triangles ADC and ADB
Furthermore given that the line AD intersects side BC, we can also establish that BD=DC
Therefore, the triangles are congruent according to the SSS (side, side, side) theorem
Congruent by L.L.L.
Look at the triangles in the diagram.
Which of the statements is true?
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