Question

1. for each statement, respond yes, no, or maybe.

a. i am looking at a quadrilateral. am i looking at a convex simple closed curve?
b. i am looking at a triangle. am i looking at convex simple closed curve?
c. i am looking at a trapezoid. am i looking at a square?
d. i am looking at a rectangle. am i looking at a parallelogram?
e. i am looking at an equilateral triangle. am i looking at an isosceles triangle?

Explanation:

Step1: Recall quadrilateral properties

A quadrilateral can be convex or non - convex. So it's not always a convex simple closed curve.

Step2: Recall triangle properties

A triangle is always a convex simple closed curve.

Step3: Recall trapezoid and square definitions

A trapezoid has one pair of parallel sides and a square has two pairs of parallel sides and all sides equal. A trapezoid is not a square.

Step4: Recall rectangle and parallelogram definitions

A rectangle has four right angles and opposite sides equal. A parallelogram has opposite sides parallel. A rectangle is a type of parallelogram.

Step5: Recall equilateral and isosceles triangle definitions

An equilateral triangle has all sides equal. An isosceles triangle has at least two sides equal. An equilateral triangle is an isosceles triangle.

Answer:

a. MAYBE
b. YES
c. NO
d. YES
e. YES