If ΔCAT≅ΔDOG, which statement must be true?
A. m∠A=m∠O
B. m∠C=m∠G
C.CA = OG
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D.CT≅DO
2021 anyone?
so A is right
the vertices are named in the same order in both triangles
A and O are both in the middle of their respective triangle designations
... so they are equal
Read R_scott's response more carefully.
so which ones the correct answer ?
ΔCAT =?
To determine which statement must be true if ΔCAT≅ΔDOG (meaning triangle CAT is congruent to triangle DOG), we need to understand the properties of congruent triangles. Congruent triangles have corresponding sides and angles that are equal.
Let's analyze each statement:
A. m∠A=m∠O: This statement implies that angle A in triangle CAT is equal to angle O in triangle DOG. However, we don't have enough information to conclude this from the given congruence statement ΔCAT≅ΔDOG. So, statement A is not necessarily true.
B. m∠C=m∠G: This statement implies that angle C in triangle CAT is equal to angle G in triangle DOG. Similarly to statement A, we don't have enough information to conclude this from the given congruence statement ΔCAT≅ΔDOG. Therefore, statement B is not necessarily true.
C. CA = OG: This statement implies that side CA in triangle CAT is equal to side OG in triangle DOG. According to the congruence statement ΔCAT≅ΔDOG, corresponding sides are equal. Therefore, statement C must be true.
D. CT≅DO: This statement implies that side CT in triangle CAT is equal to side DO in triangle DOG. We don't have enough information to conclude this from the given congruence statement ΔCAT≅ΔDOG. Hence, statement D is not necessarily true.
In conclusion, the statement that must be true if ΔCAT≅ΔDOG is statement C: CA = OG.