Please help. Determine whether the statement is true or false?

a) Every square is a rectangle. b) Some scalene triangle are right triangles. c) Every parallelogram is a rectangle. d) Every rectangle is a parallelogram. e) Some right triangles are equilateral triangles.Please help. Determine whether the statement is true or false?
a) true (both square and rectangle are quadrilaterals)


b) true (a rt. angle triangle can be a scalene triangle)


c)false (rectangle has all angles equal)


d)true (opposite sides of a rectangle are parallel)


e) false (in rt. triangle, hypotenuse is larger than any of the other sides)Please help. Determine whether the statement is true or false?
A rectangle is a quadrilateral (four-sided figure) with opposite sides equal and opposite sides parallel.


A square is a quadrilateral with all sides equal and opposite sides parallel. Since, in a square, all sides are equal and opposite sides parallel, opposite sides must be equal and parallel so all squares are rectangles.





A scalene triangle is a triangle with no equal sides.


A right triangle is a triangle with one right angle. According to Pythagoras, the sum of the squares of the lengths of the two shorts sides of any right triangle is equal to the square of the hypotenuse. Take the 3-4-5 triangle.


The sides are not equal, and 3x3 + 4x4 = 5x5. So some scalene triangles are right triangles.





Again, a rectangle has opposite sides parallel. That's the definition of a parallelogram. So every rectangle is a parallelogram.





An equilateral triangle has two sides of equal length and their opposite angles equal. Any 45-45-90 triangle satisfies these two criteria. So, some right triangles are equilateral.
a)true b)false c)false d)true e) false
a. true


b. true


c. false


d. true


e. False
a)true


b)true


c)false


d)true


e)false