# Solution - Similarity Examples and Solutions

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ConceptSimilarity Examples and Solutions

#### Question

In figure, ABCD is a trapezium with AB || DC. If ∆AED is similar to ∆BEC, prove that AD = BC.

#### Solution

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#### Similar questions VIEW ALL

Examine each pair of triangles in Figure, and state which pair of triangles are similar. Also, state the similarity criterion used by you for answering the question and write the similarity relation in symbolic form

figure (i)

figure 2

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figure 5

figure 6

figure 7

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P and Q are points on sides AB and AC respectively of ∆ABC. If AP = 3 cm, PB = 6cm. AQ = 5 cm and QC = 10 cm, show that BC = 3PQ.

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In figure, ∠BAC = 90º and segment AD ⊥ BC. Prove that AD2 = BD × DC.

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In figure, ∆ACB ~ ∆APQ. If BC = 8 cm, PQ = 4 cm, BA = 6.5 cm, AP = 2.8 cm, find CA and AQ.

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In figure, ∠CAB = 90º and AD ⊥ BC. If AC = 75 cm, AB = 1 m and BD = 1.25 m, find AD.

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#### Reference Material

Solution for concept: Similarity Examples and Solutions. For the course 8th-10th CBSE
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