1. Write the congruence statements for the following pairs of congruent triangles:
b)
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1. Write the congruence statements for the following pairs of congruent triangles:
b)
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Answer:
Step-by-step explanation:
In the image, we have two congruent triangles, ABD and ACD, with a common side AD. Since the sides of a triangle are unique, we can conclude that the other two sides of the triangles are also congruent. Therefore, we can write the following congruence statement:
△ABD≅△ACD
Since the triangles are congruent, their corresponding angles must also be congruent. Therefore, we can write the following congruence statements for the corresponding angles:
∠BAD=∠CAD∠ABD=∠ACD
We can also write the following congruence statement for the corresponding sides:
AB=AC
Therefore, the complete congruence statement for the two triangles is:
△ABD≅△ACD by SAS