Question

Complete the following statements:

Suppose that$\Delta ART\cong \Delta DEB$.

a. $\Delta EBD\cong \_\_$

b.$\overline{AT}\cong \_\_$

c.$m\angle R=\_\_$

Short answer

a.$\Delta EDB\cong \Delta RTA$

b.$\overline{AT}\cong \overline{DB}$

c.$m\angle R=m\angle E$

Step-by-step solution

Step 1- Draw the diagrams.

Consider the diagrams.

Step 2- Step description.

If two triangles are congruent, part of corresponding triangles are equal.

Step 3- Conclusion.

Since the two triangles are congruent thus the part of corresponding triangles is equal and $\Delta ART\cong \Delta DEB$ thus$\Delta EBD\cong \Delta RTA$ .

Therefore, the answer is$\Delta RTA$ .

Step 1- Draw the diagrams.

Consider the diagrams.

Step 2- Step description.

If two triangles are congruent, part of corresponding triangles are equal.

Step 3- Conclusion.

Since the two triangles are congruent thus the part of corresponding triangles is equal and $\Delta ART\cong \Delta DEB$ thus$\overline{AT}\cong \overline{DB}$ .

Therefore, the answer is$\overline{AT}\cong \overline{DB}$ .

Step 1- Draw the diagrams.

Consider the diagrams.

Step 2- Step description.

If two triangles are congruent, part of corresponding triangles are equal.

Step 3- Conclusion.

Since the two triangles are congruent thus the part of corresponding triangles is equal and $\Delta ART\cong \Delta DEB$ thus$m\angle R\cong m\angle E$ .

Therefore, the answer is$m\angle R\cong m\angle E$ .