What are the properties of a rhombus? A rhombus has four congruent sides, opposite angles that are congruent, and when the diagonals of a rhombus bisect they form four right angles.
MooMooMath/Rhombus
Transcript
What is a Rhombus?
Hi welcome
to MooMooMath. Today we are going to look at the properties of a Rhombus. I
have drawn a figure that looks like a Rhombus. We have DOGS and a rhombus falls
in the quadrilateral family as a parallelogram. So we have quadrilaterals then
a smaller sub of parallelograms with rectangles over here and rhombuses over
here and these two (rectangles and rhombuses) are not the same. Since a rhombus
is a parallelogram it does have all the properties of a parallelogram. So it
has opposite sides O and G and D and S that are congruent and they are also
parallel and the OG and SD are also parallel. What sets a rhombus apart that
not only are the opposite sides congruent (equal) top to bottom, left to right
all four are congruent. So this side is 5, this side is 5, all four sides are a
5 so that is why I call it a squished square
So we have opposite sides that are congruent, opposite angles that are
congruent, OS and DG are opposite angles. We have parallel sides and we can
have the angles being supplementary. D and O are supplementary and O and G are
supplementary. Now what sets the rhombus apart besides these four sides being
congruent is it has some properties with the diagonals. I will draw OS and DG and
one property is that the diagonals are perpendicular. They cross and make four
right angles. Now what is going to happen is O to the center C, let’s call that
C,and C ( the center) to S, call that S these two segments are congruent and
these two segments are congruent ( points to segments D-C and C-G) and you can
see you have 4 congruent triangles. So these smaller triangles are reflections
and are congruent to each other. Another property is the diagonals bisect each
other. Which just means they cut each other in half. So the segments are
congruent. Hope this video was helpful
