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Is This Tilted Quadrilateral Really a Square?

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Orienting Yourself: The Use of Coordinates · Applications · 4:12

You'll learn: Use distances to justify the shape and determine its area.

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Is This Tilted Quadrilateral Really a Square?

4:12

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Is This Tilted Quadrilateral Really a Square?

You'll learn: Use distances to justify the shape and determine its area.

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Same topic

Applications

4

Predict a Shape Before Plotting Its Points
3:41
Predict a Shape Before Plotting Its Points
You'll learn: Predict axis-parallel sides, perpendicular sides and mirror points before checking the graph.
Build a Right Triangle Around a Given Point
3:50
Build a Right Triangle Around a Given Point
You'll learn: Construct a valid right triangle using a given vertex and calculate its three sides.
Can a Street Address Identify More Than One Crossing?
4:14
Can a Street Address Identify More Than One Crossing?
You'll learn: Test whether a street-index convention identifies a unique crossing and why direction information matters.
Do Two Circular Icons Fit and Overlap on a Screen?
4:40
Do Two Circular Icons Fit and Overlap on a Screen?
You'll learn: Check circle extents against screen boundaries and compare centre distance with the radii.

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Challenge explorations

7

Are Three Points on One Straight Line?
4:20
Are Three Points on One Straight Line?
You'll learn: Use distance addition to test collinearity, then plot both sets to verify.
Build Isosceles Triangles Using Coordinates
4:06
Build Isosceles Triangles Using Coordinates
You'll learn: Construct the two requested triangle types and verify their properties.
What Makes a Point the Midpoint?
4:28
What Makes a Point the Midpoint?
You'll learn: Check that a midpoint lies on the segment and divides it equally. Discover coordinate averages.
Find a Missing Endpoint from the Midpoint
4:12
Find a Missing Endpoint from the Midpoint
You'll learn: Reverse the coordinate-average relationship to find an unknown endpoint.
Divide a Segment into Three Equal Parts
4:00
Divide a Segment into Three Equal Parts
You'll learn: Extend equal division from halves to thirds and find both internal division points.
Is a Point Inside, On or Outside a Circle?
4:14
Is a Point Inside, On or Outside a Circle?
You'll learn: Find a common radius from distances to the origin and classify additional points.
Rebuild a Triangle from Its Side Midpoints
4:28
Rebuild a Triangle from Its Side Midpoints
You'll learn: Combine three midpoint relationships to recover the original triangle vertices.

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Expressions and polynomials

4

Build an Algebraic Expression from a Shopping Story
3:48
Build an Algebraic Expression from a Shopping Story
You'll learn: Translate quantities, repeated groups and a fixed extra into an expression. Identify terms, variables and constants.
Why Do Fencing and Planting Produce Different Terms?
3:50
Why Do Fencing and Planting Produce Different Terms?
You'll learn: Model boundary costs and area costs and compare their algebraic terms.
One Wire, Many Rectangles: Express the Area
3:48
One Wire, Many Rectangles: Express the Area
You'll learn: Use a fixed perimeter to express width and area using one variable.
What Is a Polynomial in One Variable?
4:10
What Is a Polynomial in One Variable?
You'll learn: Distinguish expressions involving one variable from the opening two-variable examples.