Mathematics 10 — Exercise 6.3 · Q2

Full question

Plot the square with the given vertices and translate it by (9, 7).

Step-by-step solution

1. Translate A: add the same horizontal and vertical shift to its coordinates.

   $$(-6+9,-2+7)$$

2. Calculate both additions to locate A′.

   $$(3,5)$$

3. Translate B: add the same horizontal and vertical shift to its coordinates.

   $$(-6+9,-5+7)$$

4. Calculate both additions to locate B′.

   $$(3,2)$$

5. Translate C: add the same horizontal and vertical shift to its coordinates.

   $$(-3+9,-5+7)$$

6. Calculate both additions to locate C′.

   $$(6,2)$$

7. Translate D: add the same horizontal and vertical shift to its coordinates.

   $$(-3+9,-2+7)$$

8. Calculate both additions to locate D′.

   $$(6,5)$$

9. Plot and join the original vertices in order, then plot and join the translated vertices in the same order. Translation preserves all side lengths.

Answer

The final answer is shown below.