Question

An isosceles trapezoid is a quadrilateral with two congruent legs and a pair of parallel bases. Prove the base angles of an isosceles trapezoid are congruent. Be sure to create and name the appropriate geometric figures. This figure does not need to be submitted.

Answer 1

@Hamoody1996

Answer 2

can you help?

Answer 3

the answer will be Consider two triangles ABC and CDA as the figure we had.
In triangles,
1. <CBA = <ACD (the line AC is a transversal of parallel lines AB and CD,hence Angle CAB and ACD are alternate angles)
2. <ACB=<CAD (The line AC is a transversal of parallel lines BC and DA,hence Angle ACB and Angle CAD are alternate angles)
3. AC=CA (The common side to two triangles)
From conditions 1,2 and 3,
Triangles ABC and CDA are congruent (By Angle -Side-Angle congruency property)
Hence as triangles are congruent triangles , the corresponding sides are equal,
Hence, AB = CD and BC = DA.

Answer 4

the figure is :

Answer 5

thats the answer or jus
t how to do it? @Hamoody1996

Answer 6

its how to do it

Answer 7

im not understanding what to do now ? @Hamoody1996

Answer 8

look this is not a problem to solve
this is a proof
so you can consider the above as a solution

Answer 9

Oh ok. i understand now. thanks @Hamoody1996

Answer 10

yw
and in short words : u can extend the upper part of the trapezium to meet both the legs at a point. .. then u can prove that using similarity of triangles