WebDiagonals of a trapezium ABCD with AB∥DC intersect each other at the point O. If AB=2CD, find the ratio of the areas of triangles AOB and COD Medium Solution Verified by Toppr In AOB and COD ∠AOB=∠COD [Vertically opposite angles] ∠OAB=∠OCD [Since AB CD with AC as traversal alternate angle are equal] Hence, AOB∼ COD [AA similarity] WebMar 28, 2024 · Example 2 ABCD is a trapezium with AB DC. E and F are points on non-parallel sides AD and BC respectively such that EF is parallel to AB (see Fig. 6.14). Show that ...
Diagonals of a trapezium ABCD with AB∥ DC intersect each
WebO is the point of intersection of the diagonals AC and BD of a trapezium ABCD with ABIIDC. Through O, a line segment PQ is drawn parallel to AB meeting AD in P and BC in Q. Prove … WebMar 29, 2024 · Show that ABCD is a trapezium Given: ABCD is a quadrilateral where diagonals AC & BD intersect at O & 𝐴𝑂/𝐵𝑂=𝐶𝑂/𝐷𝑂 To prove: ABCD is a trapezium Construction: Let us draw a line EF II AB passing through point O. Proof: Given 𝐴𝑂/𝐵𝑂=𝐶𝑂/𝐷𝑂 ⇒ 𝐴𝑂/𝐶𝑂=𝐵𝑂/𝐷𝑂 Now, in ∆ 𝐴𝐷𝐵 EO II AB 𝐴𝐸/𝐷𝐸=𝐵𝑂/𝐷𝑂 ⇒ 𝐴𝐸/𝐷𝐸=𝐴𝑂/𝐶𝑂 Thus in Δ ADC, Line EO divides the triangle in … como ativar o shift lock
ABCD is a trapezium in which AB DC and its diagonals intersect …
WebTo understand the Basic Proportionality Theorem, let us perform the following activity: Activity 2 : Draw any angle XAY and on its one arm AX, mark points (say five points) P, Q, D, R and B such that AP = PQ = QD = DR = RB. WebJan 3, 2024 · In a trapezium ABCD , it is given that `AB CD and AB= 2CD`. Its diagonals AC and BD intersect at the point O such that `ar (Delta AOB)=84 cm^ (2)`. Find `ar (Delta COD)`. WebTHEOREM 5.15: A point P lies on the plane determined by three non-collinear points O, A and B if and only if there exists real numbers r and s such that \overrightarrow{O P}=r \overrightarrow{O A}+s \overrightarrow{O B} and, in this case, the real numbers r and s are unique satisfying this equation. como ativar o touchscreen