What is CPCTC?

CPCTC stands for "Corresponding Parts of Congruent Triangles are Congruent". It is a theorem that states that if two triangles have corresponding sides that are congruent, then the angles opposite those sides are also congruent. This theorem is often used in solving geometric problems, particularly those involving angles and triangles.

Solving Worksheet 79 Using CPCTC

Worksheet 79 is a geometric problem that can be solved using the CPCTC theorem. The problem involves two triangles, ABC and DEF. The task is to determine the measures of the angles of the triangles by using the given information. The problem can be solved by first drawing the triangles, labeling the sides and angles, and then using the CPCTC theorem to determine the measures of the angles.

Step 1: Draw the Triangles

The first step in solving Worksheet 79 is to draw the two triangles, ABC and DEF. It is important to label the sides and angles of the triangles so that the information given can be easily identified. For example, if the problem states that side AB is congruent to side DE, then it is important to label AB and DE in the diagram.

Step 2: Use CPCTC

Once the triangles have been drawn, the CPCTC theorem can be used to solve the problem. The theorem states that if two triangles have corresponding sides that are congruent, then the angles opposite those sides are also congruent. Therefore, if side AB is congruent to side DE, then angle A is congruent to angle D. By using this theorem, the measures of the angles can be determined by using the given information.

Step 3: Determine the Measures of the Angles

The last step in solving Worksheet 79 is to determine the measures of the angles. This can be done by using the CPCTC theorem and the given information. For example, if side AB is congruent to side DE, then angle A is congruent to angle D. Thus, the measure of angle A can be determined by using the measure of angle D. The same process can be used to determine the measures of the other angles in the triangles.

Conclusion

Worksheet 79 can be solved using the CPCTC theorem. The theorem states that if two triangles have corresponding sides that are congruent, then the angles opposite those sides are also congruent. By drawing the triangles and labeling the sides and angles, the measures of the angles can be determined by using the given information. With this knowledge, Worksheet 79 can be easily solved.