anonymous
  • anonymous
Given: Line segment CD is perpendicular to Line segment AB Line Segment BE is Perpendicular to Line segment AC Line segment BE is Congruent to Line segment CD PROVE: Triangle ABC is isosceles
Geometry
  • Stacey Warren - Expert brainly.com
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
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anonymous
  • anonymous
help please :(
phi
  • phi
Do you know what kind of triangle BCE is ?

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anonymous
  • anonymous
nope :( and were trying to apply the median, altitude angle bisector, perpendicular bisector here.
phi
  • phi
I was thinking BCE is a right triangle. If you know 2 sides of a right triangle, you can find the 3rd side. if two right triangles have congruent sides, their third side will also be congruent. in other words, triangles BCE and CDB are congruent by side-side-side now you can say the base angles of the big triangle ABC are congruent, and so ABC is isosceles
anonymous
  • anonymous
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anonymous
  • anonymous
Thank you!! Though I have to use one of the special segments as a proof :( @phi
phi
  • phi
I am not sure what you mean. You are using the fact that a perpendicular forms a right angle.
anonymous
  • anonymous
oh okay, thank you!! :D
phi
  • phi
you can use this http://www.wyzant.com/help/math/geometry/triangles/right_triangle_congruence
anonymous
  • anonymous
but what can I use as a reason that line segment BD is congruent to Line segment CE?
anonymous
  • anonymous
I finally get it aghh thank you so much!! @phi

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