Triangle EFG is dilated by a scale factor of one half centered at (1, 1) to create triangle E'F'G'. Which statement is true about the dilation? - The slope of segment EF is the same as the slope of segment E prime H prime.

- segment E prime G prime will overlap segment EG.

- segment GF and segment G prime F prime both pass through the center of dilation.

- segment EF ≅ segment E prime F prime.

- segment GF and segment G prime F prime both pass through the center of dilation.

Step-by-step explanation:

The center of dilation (1, 1) is the same point that vertex F, then, both F and F' are located at (1, 1).

G is located at (-2, 1). After the dilation by a scale factor of one half, G' is located at (-0.5, 1), so that the distance between G' and F' is half the distance between G and F. Therefore, segment GF and segment G'F' both pass through the center of dilation.

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

step-by-step explanation:

tangent z: 4/3

cosine y: 4/5

cotangent y: 4/3