When two angles have the same number of markers, this indicates that the angles are congruent. Similarly, when two sides have the same number of markers, the sides are congruent.
Corresponding Angles:∠ A ≅ ∠ F, ∠ B ≅ ∠ J, ∠ C ≅ ∠ I, ∠ D ≅ ∠ H, ∠ E ≅ ∠ G Corresponding Sides: EA ≅ GF, AB ≅ FJ, ED ≅ GH, BC ≅ JI, DC ≅ HI Congruence Relation: ABCDE ≅ FJIHG
The measures of the angles tell us about the congruence relationships between the angles of the triangles.
∠ A &≅ ∠ F
∠ B &≅ ∠ J
∠ C &≅ ∠ I
∠ D &≅ ∠ H
∠ E &≅ ∠ G
All angles in ABCDE have congruent pairs in FJIHG.
Checking Sides
Now let's check the sides.
The markers on the sides tell us about the congruence relationships between the sides of the triangles.
AB &≅ FJ
BC &≅ JI
CD &≅ HI
DE &≅ HG
EA &≅ GF
All sides of ABCDE have congruent pairs in FJIHG.
Conclusion
Since the vertices of the two polygon can be paired up so that the corresponding angles and sides are congruent, the two polygons are congruent.
A BCD E ≅ F JIH G
