what additional infroamtion is needed in order to prove triagles CDE and CDQ congruent by ASA

Answer 1

To prove triangles CDE and CDQ congruent by the Angle-Side-Angle (ASA) criterion, you need the following information:

1. Two Angles: You need to know the measures of two angles in triangle CDE that correspond to two angles in triangle CDQ. For example, if you have measures for ∠CDE and ∠CDQ, you would need to establish that these angles are equal (∠CDE = ∠CDQ). You would also need another pair of corresponding angles that are known to be equal.

2. Included Side: You need to know the length of the side that is included between those two angles in both triangles. This side must be the same length in both triangles. For example, if the included side is segment DE in triangle CDE and segment DQ in triangle CDQ, you need to show that DE = DQ.

Once you have these three components:

• One pair of equal angles (∠CDE = ∠CDQ)
• Another pair of equal angles (for example, ∠DCE = ∠DCQ)
• The included side being equal (DE = DQ)

You can conclude that triangles CDE and CDQ are congruent by the ASA criterion.