Consider the congruence statement
ΔSUN≅ΔFOG.
Identify the congruent sides.
Identify the congruent angles.
the vertices (and thus the angles) are listed in the same order.
So, list the sides and vertices of SUN and pick the corresponding letters from FOG
For example, SU ≅ FO
etc.
Okay Thank you
In the congruence statement ΔSUN≅ΔFOG, the congruent sides and congruent angles can be identified as follows:
Congruent sides:
- Side SU is congruent to side FO
- Side UN is congruent to side OG
- Side SN is congruent to side FG
Congruent angles:
- Angle SUN is congruent to angle FOG
- Angle USN is congruent to angle OFG
- Angle UNS is congruent to angle OGF
To identify the congruent sides and angles of the congruence statement ΔSUN ≅ ΔFOG, we need to compare the corresponding parts of the two triangles.
Congruent sides are sides that have the same length, so we need to look for pairs of sides that are equal in length in both triangles.
Congruent angles are angles that have the same measure, so we need to look for pairs of angles that have the same size in both triangles.
To do this, we can start by comparing the corresponding sides of the two triangles. For example:
- We can compare side SU in ΔSUN with side FO in ΔFOG.
- We can compare side UN in ΔSUN with side OG in ΔFOG.
- We can compare side SN in ΔSUN with side FG in ΔFOG.
If any of these pairs of sides have the same length, we can identify them as congruent sides.
Next, let's compare the corresponding angles of the two triangles. For example:
- We can compare angle S in ΔSUN with angle F in ΔFOG.
- We can compare angle U in ΔSUN with angle O in ΔFOG.
- We can compare angle N in ΔSUN with angle G in ΔFOG.
If any of these pairs of angles have the same measure, we can identify them as congruent angles.
By comparing the corresponding sides and angles of the two triangles, we can determine the congruent sides and angles of the congruence statement ΔSUN ≅ ΔFOG.