1.
is a movement. It is a change in position, shape,
A(n)
or size of a figure.
2.
A(n)
is a transformation that moves every point of a figure
the same distance and the same direction.
3.
In a translation, the
of the figure
remains the same in that it still faces the same direction.
is the result of a transformation
4. The
of a point, line, or figure.
5. In the graph above, AABC is the
of AA'B'C'
6. After a translation, the lengths of corresponding
are equal.
7. After a translation, the distances between corresponding
have changed in the same way, vertically and horizontally,

to find the total number of combinations, multiply the quantity of each item by each other:

2 pairs of shoes x 3 pairs of shorts = 6 different combinations.

both graphs increase on their domain

neither graph has a y-intercept

step-by-step explanation:

the following points can be visualized easily from the graph

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus

there is only one way to arrange all the eight relative to each other because they are not distinct. we have

now there are nine places to place an (and not more than one in one place).   because we have four symbols, we need to choose four of these nine places to insert an . order does not matter because the are not distinct.

thus there are 1 · c(9,4) ways, or, if we calculate it,

thus there are 126 ways to form such "words."