SOLUTION: Assume that abcd is a rhombus. Prove that ac is prependicular to bd (let e be the point of intersection$
Algebra.Com
Question 602872: Assume that abcd is a rhombus. Prove that ac is prependicular to bd (let e be the point of intersection$
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Draw the diagonals forming 4 triangles. Since it is a rhombus, it is also a parallelogram. The diagonals of a parallelogram bisect each other.
AB congruent AD, defn of rhombus
AE congruent AE, reflexive equality
BE congruent DE, diagonals of parallelogram bisect each other
Triangle ABE congruent triangle ADE by SSS
Angle BED is a straight angle, hence measures 180 degrees.
Angle AEB congruent Angle AED by CPCT
measure of BED equals measure AEB + measure AED
measure of BED equals 2 times measure AEB
measure AEB is 90
QED.
John
My calculator said it, I believe it, that settles it
RELATED QUESTIONS
ABCD is a square. Prove that AC =... (answered by EdenWolf)
email: maplespots@gmail.com
Please help me solve this;
"Quadrilateral ABCD is a (answered by solver91311)
890.Trapezoid ABCD has parallel sides AB and CD, of lengths a and b respectively.... (answered by AnlytcPhil,Edwin McCravy)
line segmant ab is congruent to bc and cd and ad (that is abcd is a rhombus)prove that... (answered by venugopalramana)
If. A(-8;6),B,C and D(3;9) are vertices of a rhombus. The equation for AC is 3y=-x+10... (answered by richwmiller,Edwin McCravy)
ABCD is a square, prove that AC=BD by using a 2 column proof (answered by solver91311)
given trapezoid abcd with diagonals ac and bd intercept at point e prove triangle dec is... (answered by solver91311)
The diagonals of a rectangle are congruent
Theorem 4.5.9
Given:Rectangle ABCD with... (answered by solver91311)
ABCD is a quadrilateral. If diagonals AC and BD bisect each other, then prove that ABCD... (answered by math_tutor2020,ikleyn)
