For each of the following compound statements,first identify the corresponding component statements. Then check whether the statements are true or not.
If a triangle $ABC$ is equilateral,then it is isosceles.
If a triangle $ABC$ is equilateral,then it is isosceles.
(N/A) The component statements are given by:
$p: \text{Triangle } ABC \text{ is equilateral.}$
$q: \text{Triangle } ABC \text{ is isosceles.}$
Since every equilateral triangle is also an isosceles triangle,the given compound statement is true.
$p: \text{Triangle } ABC \text{ is equilateral.}$
$q: \text{Triangle } ABC \text{ is isosceles.}$
Since every equilateral triangle is also an isosceles triangle,the given compound statement is true.
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