Graph the image of the given triangle, reflected across the y-axis for 2. graph the image of the given triangle after the transformation that has the rule (x, y)→(x, −y) for 3.

Question 1:

The rule (x, y) → (x+2, y-4) represents a translation 2 units RIGHT and 4 units DOWN. We know it's translated right from x + 2 (this is a translation across the horizontal axis) and it's translated down from y - 4 (this is a translation across the vertical axis).

Question 2:
Refer to the first diagram attached below

Question 3:
Refer to the second diagram attached below

Question 4:
We first need to work out the sum of angle in a pentagon, using the formula:

Sum of interior angles = (number of sides - 2) × 180°
Sum of interior angles = (5 - 2) × 180
Sum of interior angles = 3 × 180
Sum of interior angles = 540°

Then we set up an equation:
121° + 108° + 102° + 100° + x = 540°
431° + x = 540°
x = 540 - 431 = 109°
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Question 5

Exterior angles of a polygon add up to 360°
We are assuming that the 13-sided polygon is a regular polygon, meaning all sides of the same length.

The size of one exterior angle = 360° ÷ 13 sides = 27.7° (to the nearest tenth)