Chapter 4.1, Problem 1WE

To determine

To Complete: The fill in the blank $\angle G\cong \mathrm{.............}$

Answer to Problem 1WE

The correct answer is $\angle G\cong \angle T$ .

Explanation of Solution

Given information:

  $\Delta BAG\cong \Delta CAT$

Concept and Formula Used:

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

Calculation:

It is given that

  $\Delta BAG\cong \Delta CAT$

Therefore the corresponding parts of $\Delta BAG\&\Delta CAT$ i.e. sides and angles are congruent.

The corresponding angle to angle ‘G’ is angle ‘T’.

Hence

  $\angle G\cong \angle T$

Conclusion:

The correct answer is $\angle G\cong \angle T$ .