The diagram shows triangles ABC and ADE - OCR - GCSE Maths - Question 11 - 2021 - Paper 1
Question 11
The diagram shows triangles ABC and ADE.
B lies on AD and C lies on AE.
BC is parallel to DE.
Complete these statements to show that triangles ABC and ADE are simi... show full transcript
Worked Solution & Example Answer:The diagram shows triangles ABC and ADE - OCR - GCSE Maths - Question 11 - 2021 - Paper 1
Step 1
Angle ACB = angle DAE because ...
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Answer
BC is parallel to DE and AD is a transversal. When a transversal intersects two parallel lines, the alternate angles are equal.
Step 2
Angle BAC is ...
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Answer
equal to angle EAD by the same reasoning, as they are corresponding angles.
Step 3
Triangles ABC and ADE are similar because ...
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Answer
the angles of triangle ABC are equal to the angles of triangle ADE, satisfying the Angle-Angle (AA) criterion for similarity.
