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 AED because ...
96%
114 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
they are alternate angles (or angles on opposite sides of the transversal).
Step 2
Angle BAC is ...
99%
104 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
equal to angle DAE because they are also corresponding angles.
Step 3
Triangles ABC and ADE are similar because ...
96%
101 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
the angles of triangle ABC are equal to the angles of triangle ADE (AA similarity criterion).
