Choose the correct terms for A, B and C from the following list:
radius
diameter
circumference
centre
chord
Write the answers into the grid - Junior Cycle Mathematics - Question 12 - 2013
Question 12
Choose the correct terms for A, B and C from the following list:
radius
diameter
circumference
centre
chord
Write the answers into the grid.
Find the missing angl... show full transcript
Worked Solution & Example Answer:Choose the correct terms for A, B and C from the following list:
radius
diameter
circumference
centre
chord
Write the answers into the grid - Junior Cycle Mathematics - Question 12 - 2013
Step 1
Choose the correct terms for A, B and C
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Answer
| A | CHORD |
| B | RADIUS |
| C | CENTRE |
Step 2
Find the missing angles in the diagram
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Answer
| x | 70° |
| w | 35° |
| y | 75° |
| z | 75° |
Step 3
Which triangle is isosceles? Give a reason for your answer.
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Answer
Triangle B is isosceles because it has two sides of equal length (5, 5).
Step 4
Do you agree or disagree with Cian’s measurement? Give a reason for your answer.
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Answer
I disagree with Cian's measurement. The angle α is an acute angle (<90°).
Step 5
Theorem to find the measure of the angles in the triangle
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Answer
The exterior angle is equal to the sum of the two interior opposite angles, or the sum of all angles in a triangle adds up to 180°.
Step 6
Find the measure of each of the missing angles
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Answer
Using the triangle angle sum:
xo+60°+73°=180°
Thus,
xo=180°−60°−73°=47°
Also,
YY:
yo=180°−73°−60°=47°
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