Question

Given:$\mathbf{ABCD}$is a parallelogram;$\overline{\mathrm{AD}}\cong \overline{\mathrm{AC}}$;$\overline{\mathrm{AE}}\cong \overline{\mathrm{EC}}$;$\angle \mathbf{ADF}\cong \angle \mathbf{CDF}$;$\mathbf{m}\angle \mathbf{DAC}\mathbf{=}\mathbf{36}$.

Complete each statement about the diagram.

20.$△\mathbf{ADC}$is a(n)$\underset{\_}{?}$ triangle.

Short answer

$△ADC$is an isosceles triangle.

Step-by-step solution

- Observe the given diagram.

The given diagram is:

- Write the definition of isosceles triangle.

The isosceles triangle is a triangle in which the two of the sides are equal.

- Write the complete statement.

It is being given that$\overline{AD}\cong \overline{AC}$.

Therefore, in the triangle$△ADC$, it can be noticed that$\overline{AD}\cong \overline{AC}$.

Therefore, in the triangle$△ADC$, two of the sides are equal. Therefore,$△ADC$ is an isosceles triangle.

$△ADC$is an isosceles triangle.