Question

given: line segment AD is congruent to line segment AE, angle D is congruent to angle E, line segment FD is congruent to line segment GE, and line segment AB is congruent to line segment AC prove angle B is vongtuent to angle C

Answer 1

To prove that angle B is congruent to angle C, we can use congruency properties and the Side-Angle-Side (SAS) criterion.

Step-by-step explanation:

To prove that angle B is congruent to angle C, we can use the information given in the question:

• Line segment AD is congruent to line segment AE (given)
• Angle D is congruent to angle E (given)
• Line segment FD is congruent to line segment GE (given)
• Line segment AB is congruent to line segment AC (to be proved)

Using these congruency properties, we can see that triangle ABD and triangle ACE are congruent by the Side-Angle-Side (SAS) congruence criterion. Therefore, angle B is congruent to angle C.