Work out the size of angle z image included
1 answer:
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Answer:
The coordinates of the vertices of the image are (0, 0), (2, 3), (5, 0) ⇒ (A)
Step-by-step explanation:
<em>Let us talk about dilation</em>
- A dilation is a transformation that changes the size of a figure.
- It can become larger or smaller, but the shape of the figure does not change.
- The scale factor measures how much larger or smaller the image will be
- If the scale factor greater than 1, then the image will be larger
- If the scale factor between 0 and 1, then the image will be smaller
→ If point (x, y) dilated with scale factor m about the origin, then
→ Its image is (m x, m y)
<em>Let us solve the question</em>
∵ ΔXYZ has vertices:
→ X = (0, 0)
→ Y = (6, 9)
→ Z = (15, 0)
∵ ΔXYZ is dilated by a scale factor 1/3 about the origin
→ Multiply each coordinate in each vertex by the scale factor 1/3
∵ (0 × , 0 ×
)
∴ X' = (0, 0)
∵ (6 × , 9 ×
)
∴ Y' = (2 , 3)
∵ (15 × , 0 ×
)
∴ Z' = (5, 0)
∴ The coordinates of the vertices of the image are (0, 0), (2, 3), (5, 0)
Method 1.
Use the formula of a distance between two points:
We have
substitute
Answer: 10
Method 2
Look at the picture.
Use the Pythagorean theorem:
Answer: 10
