ABCD is a rectangle and AC is a diagonal of the rectangle.
Show that the diagonal divides the rectangle into two
congruent triangles. Name the triangles and conditions
applied to prove that they are congruent.
Answers
Answered by
6
Here, ABCD is a rectangle.
AC is diagonal of a rectangle.
In △ABC and △CAD
⇒ AB=DC [ Opposite sides of rectangle ]
⇒ BC=AD [ Opposite sides of rectangle ]
⇒ AC=CA [ Common side ]
∴ △ABC≅△CAD [ By SSS congruence property ]
Answered by
1
SOLUTION-
In ABC and CDA
Sides AB-CD (opposite side of rectangle)
B-D-90 degree each
Angles BC-DA
By SAS congruency
ABC is congruent to CDA
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