What other information do you need to prove
Do you need another pair of congruent sides?
Look at the diagram. The triangles share
The diagram shows that
What other information do you need to prove
Recall that, in Lesson 1-6, you learned to construct segments using a compass open to a fixed angle. Now you can show that it works. Similar to the situation with the box and the doorway, the Side-Angle-Side Postulate tells you that the triangles outlined below are congruent. So,
Would you use SSS or SAS to prove the triangles congruent? If there is not enough information to prove the triangles congruent by SSS or SAS, write not enough information. Explain your answer.
What should you look for first, sides or angles?
Start with sides. If you have three pairs of congruent sides, use SSS. If you have two pairs of congruent sides, look for a pair of congruent included angles.
Use SAS because two pairs of corresponding sides and their included angles are congruent
There is not enough information; two pairs of corresponding sides and their included corresponding sides are congruent, but one of the angles is not the included angle.
Use SSS because three pairs of corresponding sides are congruent.
Use SSS or SAS because all three pairs of corresponding sides and a pair of included angles (the vertical angles) are congruent.
Would you use SSS or SAS to prove the triangles below congruent? Explain.