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The diagram below shows the shape $g$ on a grid - Junior Cycle Mathematics - Question 3 - 2019
Question 3
The diagram below shows the shape $g$ on a grid. The points $P$ and $S$ are also marked. Each small square on the grid has sides of length 1 cm. (a) Find the length... show full transcript
Worked Solution & Example Answer:The diagram below shows the shape $g$ on a grid - Junior Cycle Mathematics - Question 3 - 2019
Step 1
Find the length of the perimeter of the shape g.
Answer
To find the perimeter of shape , we need to add the lengths of all its sides. Observing the shape:
- The bottom side is 5 units long.
- The left vertical side is 4 units long.
- The top horizontal side is 3 units long.
- The right vertical side descends 2 units, followed by an additional 2 units (totaling 4 units).
Calculating the perimeter:
Step 2
Draw the image of the shape g under the translation that sends the point P to the point S.
Answer
To draw the shape under the translation that sends point to point , we first determine the translation vector. The coordinates of points and need to be identified. If point is at and point is at :
- The translation vector can be calculated as:
This vector is then applied to each vertex of shape to find their new positions. After applying the translation, the shape should be redrawn accordingly, ensuring that all corresponding vertices of the original shape retain their relative positions.