Answer:
Point A: (4, -3)
Point B: (3, -12)
Point C: (-1, -5)
Step-by-step explanation:
Reflection of point A:
The x will stay the same and only the y will change.
Take the y-coordinate and subtract it from the reflection line while getting the absolute value..
|(-1) - (-2)| = |1| = 1
This means, point A is one unit down the line y = -2
(-2) - 1 = -3
The coordinate for A will now be (4, -3).
Reflection of point B:
Again, the x will stay the same and only the y will change.
Using the absolute value, get the y-coordinate and subtract it from the reflection line again..
|(8) - (-2)| = |10| = 10
This means, point A is five unit down the line y = -2
(-2) - 10 = -17
The coordinate for B will now be (3, -12).
Reflection of point C:
I think you get the gist of it.
|(1) - (-2)| = |3| = 3
(-2) - 3 = -5
The coordinate for C will now be (-1, -5).
I added an image down below of what the reflection looks like. Sometimes it helps to see things visually.
The red triangle is the original image and the blue triangle is the image after the reflection. The purple line is the reflection line y = -2
Hope this helped!
Answer:
(x, y) → (2x - 2, 2y - 1)
Step-by-step explanation:
The original length from Point E to Point G was 2. The length after the figure was transformed is 4. This means that the value of x was multiplied by 2 because 2(the original value) multiplied by 2 equals 4(the new value.)
After the x value is doubled, Point E is found at x = 0 when the transformed Point E is at x = -2. This tells us that the x value has to decrease by 2 after it is doubled.
The original length from Point F to Point H was 4. The length after the figure was transformed is 8. This means that the y value doubled in value, which is the same as saying it was multiplied by 2.
After you double the y value, Point F is found at y = 9, but the fully transformed figure's Point F is found at y = 8. This means that after the y value is doubled it should decrease by 1.
I hope this helps, and let me know if you have any other questions :)
Rational
✓3×✓12 =✓36=6,6 belongs to Rational Numbers
Answer:
The volume of the rectangular pyramid is 80cm³
Step-by-step explanation:
To calculate the volume of a rectangular pyramid we have to use the following formula:
v = volume
w = width = 8 cm
l = length = 6 cm
h = height = 5 cm
v = (w * l * h) / 3
we replace the values that we know
v = (8cm * 6cm * 5 cm) / 3
v = 80cm³
The volume of the rectangular pyramid is 80cm³
