If all squares are rectangles, and all rectangles have four sides, which of the following statements is true?*1 pointSome squares are not rectangles.All rectangles are squares.All squares have four sides.All rectangles have four equal sides.
Question
If all squares are rectangles, and all rectangles have four sides, which of the following statements is true?*1 pointSome squares are not rectangles.All rectangles are squares.All squares have four sides.All rectangles have four equal sides.
Solution
The statement "All squares have four sides" is true.
Here's why:
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The question states that all squares are rectangles. This means that every square shares the properties of a rectangle.
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The question also states that all rectangles have four sides.
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Therefore, since every square is a rectangle, and every rectangle has four sides, it follows that every square must also have four sides.
So, the statement "All squares have four sides" is true.
Similar Questions
The contrapositive of the statement "If a shape is a square, then it has four equal sides" is:a.If a shape is not a square, then it does not have four equal sides.b.If a shape has four equal sides, then it is a square.c.If a shape does not have four equal sides, then it is not a square.d.If a shape is a square, then it has unequal sides.
State whether True or False.(a) All rectangles are squares. (b) All rhombuses are parallelograms.(c) All squares are rhombuses and also rectangles. (d) All squares are not parallelograms.(e) All kites are rhombuses. (f) All rhombuses are kites.(g) All parallelograms are trapeziums. (h) All squares are trapeziums.
Select three true statements.ResponsesA A rhombus is always a square.A rhombus is always a square.B A square is always a rectangle.A square is always a rectangle.C A rectangle is always a square.A rectangle is always a square.D A square is always a rhombus.A square is always a rhombus.E A square is always a parallelogram.
Try AgainOne of your answers is incorrect.True or False?Every parallelogram is a rectangle. TrueFalseEvery rectangle with four congruent sides is a square. TrueFalseEvery square is a rectangle. TrueFalseEvery quadrilateral is a square. TrueFalse
All squares are rectangles, and no rectangles are circles. Are all circles squares?NoYesMaybe
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