Mathematics
Grade 6
15 min
Graph triangles and quadrilaterals
Graph triangles and quadrilaterals
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1
Introduction & Learning Objectives
Learning Objectives
Identify and label points on a coordinate plane using ordered pairs.
Plot given coordinates to form the vertices of a polygon.
Connect plotted points to accurately draw triangles and quadrilaterals.
Identify the type of triangle or quadrilateral formed by a set of given vertices.
Determine the coordinates of missing vertices to complete a given geometric shape.
Understand how changing a coordinate affects the position or shape of a figure.
Have you ever played 'Connect the Dots' to make a picture? 🖼️ What if we could use numbers to draw perfect shapes like triangles and squares on a special map?
In this lesson, you'll learn how to use a special number map called a coordinate plane to draw and understand different shapes. This skill helps u...
2
Key Concepts & Vocabulary
TermDefinitionExample
Coordinate PlaneA grid formed by two perpendicular number lines (the x-axis and y-axis) that is used to locate points in a two-dimensional space.Imagine a checkerboard; each square has a specific location, just like points on a coordinate plane.
x-axisThe horizontal number line on a coordinate plane. It measures the horizontal distance from the origin.When you walk left or right, you are moving along the x-axis.
y-axisThe vertical number line on a coordinate plane. It measures the vertical distance from the origin.When you go up or down in an elevator, you are moving along the y-axis.
OriginThe point (0,0) where the x-axis and y-axis intersect on a coordinate plane. It's the starting point for plotting.The exact center of a crossroad where two streets meet could...
3
Core Formulas
The Ordered Pair Rule
An ordered pair is always written as (x, y), where 'x' represents the horizontal position and 'y' represents the vertical position.
Always remember to move horizontally (left or right) first, based on the x-coordinate, and then vertically (up or down), based on the y-coordinate, when plotting a point.
Plotting Points Rule
To plot a point (x, y): 1. Start at the origin (0,0). 2. Move 'x' units along the x-axis (right for positive x, left for negative x). 3. From that new position, move 'y' units parallel to the y-axis (up for positive y, down for negative y). 4. Mark the point.
This rule ensures you accurately place each vertex of your shape on the coordinate plane.
Connecting Vertices Rule
To draw a polygon...
5 more steps in this tutorial
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Challenging
A square has opposite vertices at A(1, 1) and C(5, 5). What are the coordinates of the other two vertices, B and D?
A.B(1, 5) and D(5, 1)
B.B(1, 3) and D(3, 1)
C.B(3, 3) and D(4, 4)
D.B(5, 0) and D(0, 5)
Challenging
A triangle has vertices P(1,1), Q(5,1), and R(3,4). If the coordinates of every vertex are doubled, what happens to the new triangle P'Q'R'?
A.It is the same size but moved to a new location.
B.It is a similar triangle that is larger than the original.
C.It is congruent to the original triangle.
D.It is reflected across the y-axis.
Challenging
A rectangle is defined by M(2,1), N(7,1), O(7,5), and P(2,5). If vertex O is moved to O'(6,5), the new figure MN O'P is a...
A.Rectangle
B.Parallelogram
C.Trapezoid
D.Square
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