Coordinate Plane
Plotting Points
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Question 1 of 6
1. Question
Identify the points `A, B, C` and `D`
Enter points as: `x,y`-
`A=` (4,5)`B=` (0,4)`C=` (2,3)`D=` (3,2)
Hint
Help VideoCorrect
Well Done!
Incorrect
Help VideoAn ordered pair `(``x``, ``y``)` gives you the location of a point on the coordinate plane- The `\text(x-coordinate)` gives you the horizontal position
- The `\text(y-coordinate)` gives you the vertical position
Point AGo right `4` units on the `\text(x-axis)`, then up `5` units from there on the `\text(y-axis)`.`A=(``4``,``5``)`
Point BThe point is `0` units on the `\text(x-axis)` since it is at the origin, then up `4` units from there on the `\text(y-axis)`.`B=(``0``,``4``)`
Point CGo right `2` units on the `\text(x-axis)`, then up `3` units from there on the `\text(y-axis)`.`C=(``2``,``3``)`
Point DGo right `3` units on the `\text(x-axis)`, then up `2` units from there on the `\text(y-axis)`.`D=(``3``,``2``)`
`A=(4,5)``B=(0,4)``C=(2,3)``D=(3,2)` -
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Question 2 of 6
2. Question
Which graph represents the points `A, B, C` and `D` on the number plane`A(1,4)``B(4,1)``C(3,2)``D(2,5)`Hint
Help VideoCorrect
Nice Job!
Incorrect
Help VideoAn ordered pair `(``x``, ``y``)` gives you the location of a point on the coordinate plane- The `\text(x-coordinate)` gives you the horizontal position
- The `\text(y-coordinate)` gives you the vertical position
Plot `A(``1``,``4``)`Go right `1` unit on the `\text(x-axis)` and then up `4` units from there on the `\text(y-axis)`
Plot `B(``4``,``1``)`Go right `4` units on the `\text(x-axis)` and then up `1` unit from there on the `\text(y-axis)`
Plot `C(``3``,``2``)`Go right `3` units on the `\text(x-axis)` and then up `2` units from there on the `\text(y-axis)`
Plot `D(``2``,``5``)`Go right `2` units on the `\text(x-axis)` and then up `5` units from there on the `\text(y-axis)`
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Question 3 of 6
3. Question
Match up the points `Q, R, S` and `T` with their corresponding coordinates.`(2,4)``(1,3)``(3,1)``(4,3)`
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(Q)`=(2,4)`(R)`=(1,3)`(S)`=(3,1)`(T)`=(4,3)`
Hint
Help VideoCorrect
Excellent!
Incorrect
Help VideoAn ordered pair `(``x``, ``y``)` gives you the location of a point on the coordinate plane- The `\text(x-coordinate)` gives you the horizontal position
- The `\text(y-coordinate)` gives you the vertical position
Plot the point `(``2``,``4``)`Go right `2` units on the `\text(x-axis)` and then up `4` units from there on the `\text(y-axis)`. This matches point `Q`.
Plot the point `(``1``,``3``)`Go right `1` unit on the `\text(x-axis)` and then up `3` units from there on the `\text(y-axis)`. This matches point `R`.
Plot the point `(``3``,``1``)`Go right `3` units on the `\text(x-axis)` and then up `1` unit from there on the `\text(y-axis)`. This matches point `S`.
Plot the point `(``4``,``3``)`Go right `4` units on the `\text(x-axis)` and then up `3` units from there on the `\text(y-axis)`. This matches point `T`.
`Q=(2,4)``R=(1,3)``S=(3,1)``T=(4,3)` -
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Question 4 of 6
4. Question
Match up the points `A, B, C` and `D` with their corresponding coordinates.`(3,1)``(1,-2)``(-3,1)``(-2,3)`
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(A)`=(3,1)`(B)`=(1,-2)`(C)`=(-3,1)`(D)`=(-2,3)`
Hint
Help VideoCorrect
Fantastic!
Incorrect
Help VideoAn ordered pair `(``x``, ``y``)` gives you the location of a point on the coordinate plane- The `\text(x-coordinate)` gives you the horizontal position
- The `\text(y-coordinate)` gives you the vertical position
Plot the point `(``3``,``1``)`Go right `3` units on the `\text(x-axis)` and then up `1` unit from there on the `\text(y-axis)`. This matches point `A`.
Plot the point `(``1``,``-2``)`Go right `1` unit on the `\text(x-axis)` and then down `2` units from there on the `\text(y-axis)`. This matches point `B`.
Plot the point `(``-3``,``1``)`Go left `3` units on the `\text(x-axis)` and then up `1` unit from there on the `\text(y-axis)`. This matches point `C`.
Plot the point `(``-2``,``3``)`Go left `2` units on the `\text(x-axis)` and then up `3` units from there on the `\text(y-axis)`. This matches point `D`.
`A=(3,1)``B=(1,-2)``C=(-3,1)``D=(-2,3)` -
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Question 5 of 6
5. Question
Which graph plots the points `A, B, C` and `D``A(-3,3)``B(2,3)``C(2,0)``D(-3,0)`Hint
Help VideoCorrect
Keep Going!
Incorrect
Help VideoAn ordered pair `(``x``, ``y``)` gives you the location of a point on the coordinate plane- The `\text(x-coordinate)` gives you the horizontal position
- The `\text(y-coordinate)` gives you the vertical position
Plot `A(``-3``,``3``)`Go left `3` units on the `\text(x-axis)` and then up `3` units from there on the `\text(y-axis)`
Plot `B(``2``,``3``)`Go right `2` units on the `\text(x-axis)` and then up `3` units from there on the `\text(y-axis)`
Plot `C(``2``,``0``)`Go right `3` units on the `\text(x-axis)` and then up `0` unit from there on the `\text(y-axis)`. The point is along the `\text(x-axis)`.
Plot `D(``-3``,``0``)`Go left `3` units on the `\text(x-axis)` and then up `0` units from there on the `\text(y-axis)`. The point is along the `\text(x-axis)`.
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Question 6 of 6
6. Question
Find the area of the triangle with vertices `P, Q` and `R`
Hint: First plot the three vertices on a number plane`P(0,3)``Q(2,-1)``R(-3,-1)`-
`\text(Area )=` (10)`\text(square units)`
Hint
Help VideoCorrect
Correct!
Incorrect
Help VideoAn ordered pair `(``x``, ``y``)` gives you the location of a point on the coordinate plane- The `\text(x-coordinate)` gives you the horizontal position
- The `\text(y-coordinate)` gives you the vertical position
Plot the points `P(``0``,``3``)`, `Q(``2``,``-1``)` and `R(``-3``,``-1``)`:Plot `P`: Go up `3` units on the `\text(y-axis)` from the origin.
Plot `Q`: Go right `2` units on the `\text(x-axis)` and then down `1` unit from there on the `\text(y-axis)`
Plot `R`: Go left `3` units on the `\text(x-axis)` and then down `1` unit from there on the `\text(y-axis)`
Draw lines connecting the three pointsConnect points `P` and `Q`, `Q` and `R` and `P` and `R`.
Find the `\text (base length)` and `\text (vertical height)` by counting the number of units`\text(Base length) =5` `\text(units)``\text(Vertical height) =4` `\text(units)`Solve for the area of triangle `PQR``A` `=` $$\frac{1}{2} {\color\gold {b}}{\color \red {h}}$$ Formula for Area of triangle `=` $$\frac{1}{2} ({\color\gold{5}})({\color \red{4}})$$ Substitute base length and vertical height `=` `1/2 (20)` Simplify `=` `10` `\text(Area) =10 \text(square units)` -