Core Connections Integrated I, 2013
CC
Core Connections Integrated I, 2013 View details
2. Section 11.2
Continue to next subchapter

Exercise 82 Page 613

Practice makes perfect
a To prove congruence between two triangles, we need to know at least one of the following:
  • Three pairs of congruent sides
  • Two pairs of sides and the included angle are congruent.
  • At least two pairs of congruent angles and one pair of congruent corresponding sides.
Examining the diagram, we see that and share as a side, which means it is congruent according to the Reflexive Property of Congruence.
b In both triangles, we know two angles. Using the Triangle Angle Sum Theorem, we can determine the last angle in each triangle.