UhYeaItinkYaKnowidn
Answered

IDNLearn.com connects you with a community of knowledgeable individuals ready to help. Our community is here to provide detailed and trustworthy answers to any questions you may have.

Kevin claims he can draw a trapezoid with three right angles. Is this possible? Explain.

Kevin Claims He Can Draw A Trapezoid With Three Right Angles Is This Possible Explain class=
Kevin Claims He Can Draw A Trapezoid With Three Right Angles Is This Possible Explain class=
Kevin Claims He Can Draw A Trapezoid With Three Right Angles Is This Possible Explain class=
Kevin Claims He Can Draw A Trapezoid With Three Right Angles Is This Possible Explain class=

Sagot :

RedRicinidn
Using an indirect proof:

Assume that the figure is a trapezoid.
All trapezoids are quadrilaterals.
All quadrilaterals' interior angles add up to 360° because any n-gon's interior angles add up to 180(n-2)°.
We are given that the trapezoid has three right angles.
All right angles are 90°, thus these right angles have a total measure of 270°.
We can conclude fourth angle must be 90°.
If it has four right angles, it is a rectangle.
Rectangles have two sets of parallel sides.
However, trapezoids have exactly one set of parallel sides.
Alas, our figure cannot be a trapezoid.
not possible trapezoid is a quadrilateral with 4 angles and 4 sides which means the interior measure =360 if 3 angles are right the 4th angle must be a right angle a trapezoid does not have 4 right angles,it only has one pair of parallel sides hope this helps
Thank you for being part of this discussion. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Your search for solutions ends here at IDNLearn.com. Thank you for visiting, and come back soon for more helpful information.