Explanation:
The first three statements are the statement that they give to us:
AM ≅ CP, CM ≅ GP, and C is the midpoint of AG
Then, since C is the midpoint of AG, we can say that AC is congruent to CG or:
AC ≅ CG.
Finally, if each side of the triangle ACM has a congruent side in the triangle CGP, we can say that ΔACM is congruent with ΔCGP or:
ΔACM ≅ ΔCGP
Therefore, the complete table is:
Statements Reason
1. AM ≅ CP 1. Given
2. CM ≅ GP 2. Given
3. C is the midpoint of AG 3. Given
4. AC ≅ CG 4. C is the midpoint of AG
5. ΔACM ≅ ΔCGP 5. SSS (side-side-side)
