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The diagram below is made up of two equilateral triangles and two parallelograms - Junior Cycle Mathematics - Question 5 - 2019

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The diagram below is made up of two equilateral triangles and two parallelograms. Three angles are marked. a) Write the correct letter in each space in the table be... show full transcript

Worked Solution & Example Answer:The diagram below is made up of two equilateral triangles and two parallelograms - Junior Cycle Mathematics - Question 5 - 2019

Step 1

Type of angle Angle (P, Q, or S)

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Answer

| P | Acute | | S | Reflex | | Q | Obtuse |

Step 2

Work out the size of the angles P, Q, and S.

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Answer

|∠P| = 60° |∠Q| = 120° |∠S| = 240°

Step 3

Give a reason why the two triangles are similar.

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Answer

Both triangles are equilateral so they have the same angles.

Step 4

Give a reason why the two triangles are not congruent.

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Answer

The sides of the triangles are different lengths.

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