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you do: check for understanding: judge the validity of arguments and gi…

Question

you do: check for understanding: judge the validity of arguments and give counterexamples to disprove statements: “all trapezoids are parallelograms.” a. valid b. not valid

Explanation:

Step1: Recall definitions

A trapezoid has exactly one pair of parallel sides. A parallelogram has two pairs of parallel sides.

Step2: Analyze the statement

The statement claims all trapezoids are parallelograms. But by definition, trapezoids don't always meet the criteria for parallelograms.

Step3: Provide counter - example

A right - angled trapezoid with only one pair of parallel sides is a counter - example.

Answer:

b. Not valid