Answer:
The coordinates of the upper right hand corner after translation is (1, 13)
Step-by-step explanation:
<em>Let us revise the rules of translation</em>
- If the point (x , y) translated horizontally to the right by h units then its image is (x + h , y) ⇒ T (x , y) → (x + h , y)
- If the point (x , y) translated horizontally to the left by h units then its image is (x - h , y) ⇒ T (x , y) → (x - h , y)
- If the point (x , y) translated vertically up by k units then its image is (x , y + k)→ (x + h , y) ⇒ T (x , y) → (x , y + k)
- If the point (x , y) translated vertically down by k units then its image is (x , y - k) ⇒ T (x , y) → (x , y - k)
<em>At first let us find the upper right hand corner of the square</em>
∵ Its lower left hand corner at the origin (0,0)
∵ The length of each side of the square is 8 units
→ To find lower right hand corner add 8 to the x-coordinate of the
lower left hand corner
∴ The lower right hand corner = (0 + 8, 0)
∴ The lower right hand corner = (8, 0)
→ To find upper right hand corner add 8 to the y-coordinate of the
lower right hand corner
∴ The upper right hand corner = (8, 0 + 8)
∴ The upper right hand corner = (8, 8)
<em>Now Let us find the image of this corner after translation</em>
∵ This square is translated five units up
→ Use the 3rd rule above
∴ Add 5 to the y-coordinate of the point (8, 8)
∴ Its image = (8, 8 + 5)
∴ Its image = (8, 13)
∵ The square is translated seven units left
→ Use the 2nd rule above
∴ Subtract 7 from the x-coordinate of the point (8, 13)
∴ Its image = (8 - 7, 13)
∴ Its image = (1, 13)
The coordinates of the upper right hand corner after translation is (1, 13)
