To solve these problems, we need to plot points on a coordinate plane and connect them to form shapes.
How to plot a point $(x, y)$:
1. Start at the center $(0,0)$.
2. Move
Left or
Right based on the first number ($x$).
* Positive ($+$): Move Right.
* Negative ($-$): Move Left.
3. Move
Up or
Down based on the second number ($y$).
* Positive ($+$): Move Up.
* Negative ($-$): Move Down.
4. Mark the spot with a dot.
Here is the step-by-step plotting for each problem:
1. Triangle with vertices $(-2, -6), (-3, 6), (5, 7)$
*
Point 1: $(-2, -6)$
* Move
Left 2 units.
* Move
Down 6 units.
* Mark the dot.
*
Point 2: $(-3, 6)$
* Move
Left 3 units.
* Move
Up 6 units.
* Mark the dot.
*
Point 3: $(5, 7)$
* Move
Right 5 units.
* Move
Up 7 units.
* Mark the dot.
Action: Draw straight lines connecting these three dots to form a triangle.
---
2. Triangle with vertices $(-5, -7), (-8, 4), (3, 3)$
*
Point 1: $(-5, -7)$
* Move
Left 5 units.
* Move
Down 7 units.
* Mark the dot.
*
Point 2: $(-8, 4)$
* Move
Left 8 units.
* Move
Up 4 units.
* Mark the dot.
*
Point 3: $(3, 3)$
* Move
Right 3 units.
* Move
Up 3 units.
* Mark the dot.
Action: Draw straight lines connecting these three dots to form a triangle.
---
3. Triangle with vertices $(-5, -4), (-7, 3), (6, 8)$
*
Point 1: $(-5, -4)$
* Move
Left 5 units.
* Move
Down 4 units.
* Mark the dot.
*
Point 2: $(-7, 3)$
* Move
Left 7 units.
* Move
Up 3 units.
* Mark the dot.
*
Point 3: $(6, 8)$
* Move
Right 6 units.
* Move
Up 8 units.
* Mark the dot.
Action: Draw straight lines connecting these three dots to form a triangle.
---
4. Quadrilateral with vertices $(-3, -7), (-4, 8), (2, 5), (8, -8)$
*
Point 1: $(-3, -7)$
* Move
Left 3 units.
* Move
Down 7 units.
* Mark the dot.
*
Point 2: $(-4, 8)$
* Move
Left 4 units.
* Move
Up 8 units.
* Mark the dot.
*
Point 3: $(2, 5)$
* Move
Right 2 units.
* Move
Up 5 units.
* Mark the dot.
*
Point 4: $(8, -8)$
* Move
Right 8 units.
* Move
Down 8 units.
* Mark the dot.
Action: Draw straight lines connecting the dots in the order listed (1 to 2, 2 to 3, 3 to 4, and 4 back to 1) to form a four-sided shape (quadrilateral).
Final Answer:
The solution involves plotting the specific coordinates provided for each question on the grid and connecting them with straight lines.
1. Triangle Vertices: Plot dots at
$(-2, -6)$,
$(-3, 6)$, and
$(5, 7)$. Connect them.
2. Triangle Vertices: Plot dots at
$(-5, -7)$,
$(-8, 4)$, and
$(3, 3)$. Connect them.
3. Triangle Vertices: Plot dots at
$(-5, -4)$,
$(-7, 3)$, and
$(6, 8)$. Connect them.
4. Quadrilateral Vertices: Plot dots at
$(-3, -7)$,
$(-4, 8)$,
$(2, 5)$, and
$(8, -8)$. Connect them in order.
Parent Tip: Review the logic above to help your child master the concept of polygons in the coordinate plane worksheet.
