Step-by-step explanation:
|-x|<1 --> -1<-x<1 --> -1<x<1
so the graph is the striped part
no i think because theres a negative
Answer:
see below
Step-by-step explanation:
Each point moves to half its previous distance from P. It is probably easier to count grid squares on the graph than it is to do the math on the coordinates.
If you're doing the math on the coordinates, it is convenient to use P = (0, 0), then multiply each of the coordinates of A, B, and C by 1/2. For example:
A' = (1/2)A = (1/2)(8, 4) = (4, 2)
Answer:
Construct MN.
Since M is the midpoint of OA, OM = MA
Similarly, N is the midpoint of OB.
Thus, ON = NB.
Now, in Δs OMN and OAB,
∠MON = ∠AOB (common angle)
(sides are in proportional ratio; OA = 2OM and OB = 2ON)
∴ Δs OMN and OAB are similar (2 sides are in proportion, with the included angle)
Since they are similar, then ∠OMN = ∠OAB (corresponding angles of similar triangles are equal)
But since ∠OMN = ∠OAB, then that means MN || AB (corresponding angles of two lines must be equal since they also sit relative to the transverse line, OA)
Thus, AB || MN (QED)