The rule for the reflection of shape A over the line y = -x is (x, y) ⇒ (-y, -x)
<h3>What is a transformation?</h3>
Transformation is the movement of a point from its initial location to a new location. Types of transformation are <em>translation, rotation, reflection and dilation.</em>
Dilation is the increase or decrease in the size of a figure.
The rule for the reflection of shape A over the line y = -x is (x, y) ⇒ (-y, -x)
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A line always has a general equation of y = mx + b where m is the slope of the line and b is the y-intercept. Slope is the rise of one point per run and the y-intercept is the value of y when x is 0. So, the equation should be,
y = (rise/run) x - 4
Answer:
A ≈ 117.3 cm²
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
Area of a Triangle: A = 1/2bh
If Triangle A ≅ Triangle B, then the bottom side length of A would be 11 cm and the hypotenuse will stay 24 cm.
Step 1: Find the vertical leg of A
11² + b² = 24²
121 + b² = 576
b² = 455
b = 21.3307 cm
Step 2: Find area of A
A = 1/2(11)(21.3307)
A = 1/2(234.638)
A = 117.319
A ≈ 117.3 cm²
8 because 4^2 is equal to 16 and the half of 16 is 8