GKT101: General Knowledge for Teachers – Math

1. 9 units.

Let's plot the two points.

Now, let's find the distance between the points.

The distance between the points is 9 units.

2.

The coordinates of point $B$ are $(1, 3)$. Each new point must have an $y$-coordinate of $3$.

First let's plot the point that has an increase of $6$ in the $x$-coordinate.

Now let's plot the point that has a decrease of $6$ in the $x$-coordinate.

The two points that are $6$ units from point $B$ and also share the same $y$-coordinate as $B$ are shown in the graph.

3. B. Point $B$

First, let's graph point $M$.

Now, let's see what is $5$ units from point $M$.

Point $M$ is 5 units from point $B$.

4. 5 units.

First let's plot the two points.

Now, let's find the distance between the points.

The distance from point $S$ to point $T$ is 5 units.

5. 5 units.

Let's plot the two points.

Now, let's find the distance between the points.

The distance between the points is 5 units.

6.

The coordinates of point $A$ are $(5, 6)$. Each new point must have an $x$-coordinate of $5$.

First let's plot the point that has an increase of $3$ in the $y$-coordinate.

Now let's plot the point that has a decrease of $3$ in the $y$-coordinate.

The two points that are $3$ from point $A$ and also share the same $x$-coordinate as Point $A$ are shown in the graph.

7. A. Point $A$.

First, let's graph point $M$.

Now, let's see what is $4$ units from point $M$.

Point $M$ is 4 units from point $A$.