ABCD is a rhombus and its diagonals intersect at O . (i) Is Δ BOC ≅ Δ DOC ? State the condruence condition used? (ii) Also state, if ∠ BCO = ∠ DCO .

Question

ABCD is a rhombus and its diagonals intersect at O . (i) Is &#x394; BOC &#x2245; &#x394; DOC ? State the condruence condition used? (ii) Also state, if &#x2220; BCO = &#x2220; DCO .

Philoid · Accepted Answer

(i) In ΔBOC and ΔDOC

BO = DO [In a rhombus diagonals bisect each other]

CO = CO Common

BC = CD [All sides of a rhombus are equal]

ΔBOC≅ΔDOC [SSS Congurency]

(ii) ∠BCO =∠DCO from above [corresponding parts of congruent triangles]

ABCD is a rhombus and its diagonals intersect at O.(i) Is ΔBOC≅ΔDOC? State the condruence condition used?(ii) Also state, if ∠BCO =∠DCO.

ABCD is a rhombus and its diagonals intersect at O.
(i) Is ΔBOC≅ΔDOC? State the condruence condition used?

(ii) Also state, if ∠BCO =∠DCO.