Corresponding Angles: ∠ A ≅ ∠ F, ∠ B ≅ ∠ G, and ∠ C ≅ ∠ J Corresponding Sides: AB ≅ FG, BC ≅ GJ, and CA ≅ JF
Practice makes perfect
We want to write congruence statements comparing the corresponding parts in the given figures. To do so, we will use the matching arcs and tick marks to identify the corresponding parts.
We can write congruence statements about the corresponding angles by recalling that congruent angles have a matching number of arcs.
cc
∠ A ≅ ∠ F& ∠ B ≅ ∠ G &
∠ C ≅ ∠ J
Similarly, we can write congruence statements about the corresponding sides by recalling that congruent sides have a matching number of tick marks.
AB ≅ FG BC ≅ GJ [0.5em]
CA ≅ JF
