Consider the congruence statement
Δ SUN ≅ Δ FOG
a. Identify the congruent sides.
b. Identify the congruent angles.
To identify the congruent sides and angles in the congruence statement ΔSUN ≅ ΔFOG, we need to compare the corresponding parts of the two triangles. Here's how we can do that:
a. To identify the congruent sides, we can look for sides that are equal in length in both triangles. Start by comparing the corresponding sides of the two triangles:
- Side UA in ΔSUN corresponds to side OF in ΔFOG.
- Side SN in ΔSUN corresponds to side FG in ΔFOG.
- Side NU in ΔSUN corresponds to side GO in ΔFOG.
So, the congruent sides are: UA ≅ OF, SN ≅ FG, and NU ≅ GO.
b. To identify the congruent angles, we can look for angles that have the same measure in both triangles. Again, compare the corresponding angles of the two triangles:
- Angle U in ΔSUN corresponds to angle O in ΔFOG.
- Angle S in ΔSUN corresponds to angle F in ΔFOG.
- Angle N in ΔSUN corresponds to angle G in ΔFOG.
So, the congruent angles are: ∠U ≅ ∠O, ∠S ≅ ∠F, and ∠N ≅ ∠G.
That's how you identify the congruent sides and angles in the given congruence statement.
the corresponding parts are congruent, and are listed in the same order.
SU ≅ FO
etc.