10 Questions MCQ Test Mathematics (Maths) Class 10 - Test: Criteria for Similar Triangles
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If ΔDEF ~ ΔABC and DE = AB, what is the relation between the two triangles?
Detailed Solution for Test: Criteria for Similar Triangles - Question 1
Since DE=AB means that there ratio is 1 which means corresponding sides are equal.Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion . In other words, similar triangles are the same shape, but not necessarily the same size. The triangles are congruent if, in addition to this, their corresponding sides are of equal length.So they are congruent.
In the given figure ΔABC ~ ΔBDC = 90° each. Choose the correct similarity from the given choices.
Detailed Solution for Test: Criteria for Similar Triangles - Question 8
We have Angle C common and Angle B = Angle D
So in similarity we write the name of the triangle in such an order in which the corresponding alphabets denote equal angles . this means that ΔABC ~ ΔBDC that says Angle A = Angle B, Angle B = Angle D, and Angle C = Angle C
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