Answer:
The rule used to reflect Δ ABC to its image is Reflect over y = x ⇒ B
Step-by-step explanation:
- If the point (x, y) reflected across the x-axis
, then its image is (x, -y)
- If the point (x, y) reflected across the y-axis
, then its image is (-x, y)
- If the point (x, y) reflected across the line y = x
, then its image is (y, x)
- If the point (x, y) reflected across the line y = -x
, then its image is (-y, -x)
From the given figure
∵ The coordinates of point A are (-4.5, 6)
∵ The coordinates of point A' are (6, -4.5)
→ The coordinates are switched ⇒ 3rd rule
∴ Point A is reflected over the line y = x
∴ Δ ABC is reflected over the line y = x
∴ The rule used to reflect Δ ABC to its image is Reflect over y = x
<em>Note: Point B' on the graph should be C' and point C' should be B' (correct it)</em>
Answer:
72 mles
Step-by-step explanation:
For better understanding, I'll make use of an attachment.
From the attachment,
O represents the start point
--- Jack
-- Distance between them
Required
Find OA; Jack's distance
To do this, we make use of Pythagoras theorem

This gives:


Subtract 900 from both sides


Take square roots


<em>Hence, Jill drove 72 miles</em>
Thw answer is -51
Found through long division
Y = 8/cos60 = 16
x = sqr(16^2 + 8^2) = 8sqr(3) = 13.86 approx