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प्रश्न
State the two properties which are necessary for given two triangles to be similar.
उत्तर
The two triangles are similar if and only if
1. The corresponding sides are in proportion.
2. The corresponding angles are equal.
APPEARS IN
संबंधित प्रश्न
State which pair of triangles in the following figure are similar. Write the similarity criterion used by you for answering the question, and also write the pairs of similar triangles in the symbolic form:
In the following figure, `("QR")/("QS") = ("QT")/("PR")` and ∠1 = ∠2. Show that ΔPQS ~ ΔTQR.
In the following figure, PA, QB and RC are each perpendicular to AC. Prove that `1/x+1/z=1/y`
ABCD is a parallelogram and APQ is a straight line meeting BC at P and DC produced at Q. Prove that the rectangle obtained by BP and DQ is equal to the AB and BC.
The sides of certain triangles are given below. Determine which of them right triangles are.
(a – 1) cm, `2sqrta` cm, (a + 1) cm
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In figure, BD and CE intersect each other at the point P. Is ΔPBC ~ ΔPDE? Why?
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In ΔABC, AP ⊥ BC, BQ ⊥ AC. If AP = 7, BQ = 8 and BC = 12, then find AC.
