ABCD is a parallelogram and AC is one of it's diagonals (see figure). when can you say about ABC and CDA ? Explain your answers. [Hint: Opposite sides and opposite angles of a parallelogram are congruent]
Answers
Answer:
these two will be equal as we can prove them congruent by using following
AB=CD given
<b=<d opposite angle of parellogram are equally
AC=AC common
so ABC and CDA are equal by sas property of congruese
Given ABCD is a parallelogram and AC is one of its diagonals
To Find : What can be said about triangle ABC and triangle CDA
Solution:
ABCD is a parallelogram
opposite sides of parallelogram are equal
AB = CD
BC = AD
in ΔABC and ΔCDA
AB = CD
BC = DA
AC = CA Common
=> ΔABC ≅ ΔCDA ( SSS )
As hint is given opposite angles of a parallelogram are
congruent using that
in ΔABC and ΔCDA
AB = CD
∠B = ∠D opposite angles of parallelogram
BC = DA
=> ΔABC ≅ ΔCDA ( SAS )
triangle ABC and triangle CDA are congruent
Learn More:
Solve a proportion to find the missing side. The figures are similar to ...
brainly.in/question/17153989
we know in a triangle sum of any two sides is greater than the third ...
brainly.in/question/6691141