A scale diagram of the front of the shed is shown below - Leaving Cert Mathematics - Question d - 2022
Question d
A scale diagram of the front of the shed is shown below. One point on the diagram is marked A.
Construct an enlargement of the diagram below, with centre A and a sc... show full transcript
Worked Solution & Example Answer:A scale diagram of the front of the shed is shown below - Leaving Cert Mathematics - Question d - 2022
Step 1
Draw ray AD'
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Answer
From point A, draw a ray AD' extending outwards. This ray represents the enlargement of segment AD.
Step 2
Draw ray AC'
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Answer
From point A, draw a ray AC' extending outwards. This line indicates the enlarged distance to point C.
Step 3
Draw ray AB'
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Answer
From point A, draw a ray AB' extending outward as well. This represents the enlargement of segment AB.
Step 4
Marking image points
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Answer
Mark the distances on each ray corresponding to the scale factor of 3:
For AD', measure 3 times the length of AD (4 cm), thus marking D' at 12 cm from A.
For AC', measure 3 times the length of AC (6 cm), thus marking C' at 18 cm from A.
For AB', measure 3 times the length of AB (0 cm), thus marking B' at 0 cm from A.
Step 5
Construct the enlarged figure
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Answer
Connect points D', C', and B' to form the enlarged shape. Ensure that all construction lines are visible.
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