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The diagram shows four triangles - Edexcel - GCSE Maths - Question 6 - 2020 - Paper 1
Question 6
The diagram shows four triangles. Two of these triangles are congruent. Write down the letters of these two triangles. (Total for Question 4 is 1 mark)
Worked Solution & Example Answer:The diagram shows four triangles - Edexcel - GCSE Maths - Question 6 - 2020 - Paper 1
Step 1
Identify the Congruent Triangles
Answer
To determine which two triangles are congruent, we analyze the angles and sides of each triangle.
- Triangle A has angles of 55°, 45°, and 80° with sides of 10 cm and an opposite side.
- Triangle B has angles of 45°, 55°, and an unknown angle with a side of 8 cm and 10 cm.
- Triangle C has angles of 55°, 45°, and 80° with sides of 8 cm and 10 cm.
- Triangle D has angles of 45°, 80°, and 55° with corresponding sides.
Notice that Triangle A and Triangle C share the same angle measures (55°, 45°, and 80° respectively) and also have proportional sides, confirming their congruence. Thus, the two triangles that are congruent are A and C.