Chapter 4.1, Problem 4WE

To determine

To Complete: The fill in the blank $\mathrm{.......}\cong \overline{AT}$ .

Answer to Problem 4WE

The correct answer is $\overline{IG}\cong \overline{AT}$ .

Explanation of Solution

Given information:

  $\Delta BIG\cong \Delta CAT$

Concept and Formula Used:

When two triangles are congruent then their corresponding parts i.e. sides and angles are congruent.

Congruent parts of congruent shapes are equal.

Calculation:

It is given that

  $\Delta BIG\cong \Delta CAT$

Therefore the corresponding parts of $\Delta BIG\&\Delta CAT$ i.e. sides and angles are congruent. Hence they are equal.

The corresponding side to side ‘AT’ is side ‘IG’.

Hence

  $\overline{IG}\cong \overline{AT}$

Conclusion:

The correct answer is $\overline{IG}\cong \overline{AT}$ .