Given the triangle
PQR
with points
P(8,0)
Q(6,2)
R(-2,-4)
And the triangle
P'Q'R'
with points
P'(4,0)
Q'(3,1)
R'(-1,-2)
Part A. Scale factor
Using the vertex
P( 8, 0)
P'(4,0)
the dilatation factor is given by
The triangle has a dilatation factor of 1/2
Part B:
P''Q''R'' after using P'Q'R' reflected about the y axis
to make a reflection over the y axis
coordinates (x,y) turn into coordinates (-x,y)
as follows
Then triangle P''Q''R'' has coordinates
P''(-4,0)
Q''(-3,1)
R''(1,-2)
Part C:
PQR is congruent to P''Q''R''?
Congruent triangles are triangles that have the same size and shape. This means that the corresponding sides are equal and the corresponding angles are equal.
Then the triangles are not congruent
Answer:
B
Explanation:
The y intercept can be read directly off of the graph, and is where the line intersects the y of the graph.
The slope (gradient) can be determined by using the equation y=mx+c, where we can substitute in the y intercept and an x and y value on the line.
y=mx+4
(2;0) is a point on the line, it is the coordinates of the x intercept (y intercept will work as well)
0=m(2)+4
m=-2
Answer:
The answer should D) I, II, and III
Independent variables are the things that change to see the affect of the dependant variable. In this case, the size of the last meal changes and affects the giraffes hunger level. The size of its last meal is the independent variable.
Answer:
5.9625
Step-by-step explanation: