Question

Given that ABC = DBE which statement must be truer

A. ABC & ABD
B. ABD & CBE
C. CBD & DBE
D. CBD & ABC

Answer 1

In this question, we are given that ABC is equal to DBE. The statement that must be truer is ABD & CBE.

Step-by-step explanation:

In this question, we are given that ABC is equal to DBE. We need to determine which statement must be truer.

If ABC is equal to DBE, it means that the angles A, B, and C are equal to the angles D, B, and E, respectively. Using this information, we can analyze the statements:

1. Statement A: ABC & ABD: This statement cannot be true because it implies that angle A is equal to angle D, which is not true based on our given information.
2. Statement B: ABD & CBE: This statement is true because the angles B and D are the same in both ABC and DBE, and the angles A and C are the same in both ABC and CBE.
3. Statement C: CBD & DBE: This statement cannot be true because it implies that angle C is equal to angle D, which is not true based on our given information.
4. Statement D: CBD & ABC: This statement cannot be true because it implies that angle C is equal to angle A, which is not true based on our given information.

Therefore, the statement that must be truer is statement B: ABD & CBE.