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QUESTION IMAGE

test yourself! practice tool cicely and james are working on if - then …

Question

test yourself! practice tool cicely and james are working on if - then statements in their geometry class. their statements for right triangles have one right angle are shown below. cicely: if a triangle is a right triangle, then it has one right angle. james: if a triangle has one right angle, then it is a right triangle. which of the two has written a correct if - then statement? cicely, because she has the correct hypothesis and conclusion. james, because he has the correct hypothesis and conclusion. they are both correct, the statement can be written either way. neither is correct, they have missed important information.

Explanation:

Brief Explanations

In geometry, the definition of a right - triangle is a triangle with one right angle. Cicely's statement "If a triangle is a right triangle, then it has one right angle" and James' statement "If a triangle has one right angle, then it is a right triangle" are both correct interpretations of the definition. The first starts with the name of the triangle and concludes with its property, while the second starts with the property and concludes with the name.

Answer:

They are both correct, the statement can be written either way.