We have to identify the transformations that take △ABC to △A"B"C".
The first transformation takes △ABC to △A'B'C'. We can see that the triangle is reflected over the x-axis (horizontal axis).
For example, as C is located on the x-axis, C' is also located on the x-axis. For A and B, its vertical coordinates change sign but mantain its absolute value.
We can write this transformation as:
This transformation shows that the horizontal coordinates are mantained and the vertical coordinates have their sign inverted.
The second transformation is a translation. The orientation stays the same but the points are translated a fixed number of units in both the horizontal and vertical direction.
We can take any point and its transformed point and compare its coordinates. For example B'' is 6 units to the right and 2 units up.
Then, we can write:
We can generalize this to the rule:
as the x-coordinate will increase 6 units and the y-coordinate will increase 2 units.
Answer: the transformations are a reflection over the horizontal axis (y=0) and a translation of (x+6,y+2) [First option].
Hello.
She got a total of 16 items correct. You can find this out by turning this into a percentage question. She got 4/5 of the items correct. 4/5 = 0.8, 0.8 = 80% 80% * 20 = 16.
Answer:
A = 100 in^2
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh
A = 1/2 (10)(20)
A = 100 in^2
68 ÷ 4 = 17
--------------
12 ÷ 4 = 3
So, 17 over 3 would be your answer...
Answer:
8
Step-by-step explanation:
Calculate the distance d using the distance formula
d =
with (x₁, y₁ ) = z₁(6, 2) and (x₂, y₂ ) = z₂(6, 10)
d =
=
= = 8