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Classify Quadrilaterals in a Hierarchy

Students classify quadrilaterals (trapezoids, parallelograms, rectangles, rhombuses, squares) based on their properties and organize them in a hierarchy. They explain why a shape belongs to multiple categories based on its properties.

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Classify Quadrilaterals in a Hierarchy

Grade 5 · Classifying 2D Figures · question 1 of 3

0 of 20

20 rungs. A star at the top.

RSTU

Given its marks, name quadrilateral RSTU as tightly as you can.

Choose its name.

How it is taught

0:00 of 3:12

A shape can fit more than one name.

Names stack from general to specific.

Four-sided shapes are quadrilaterals.

FGHJ

Read it: Every parallelogram is a trapezoid

5 figures. A trapezoid has at least 1 pair of parallel sides. How many are here?

  1. A trapezoid has at least 1 pair of parallel sides.
  2. Find every figure with a pair of arrow marks.
  3. 4 figures have one, so 4 trapezoids.

The names nest: every square is a rectangle, and every rectangle is a parallelogram.

A parallelogram has 2 pairs of parallel sides, so it is a trapezoid too.

A figure with no parallel sides is a quadrilateral, but it is not a trapezoid.

A figure keeps every name its marks earn. The most exact name says the most.

Saying 1 trapezoid, because only 1 figure looks like a trapezoid.

At least 1 pair of parallel sides is enough. The parallelograms have 2 pairs.

A shape has 2 pairs of parallel sides and 4 equal sides, but no right angles. What is its most exact name? — rhombus. 4 equal sides make it a rhombus. With no right angles, it is not a square.

Why is a square a quadrilateral, parallelogram, rectangle, AND rhombus?

How many names can one shape have? Let's find out together.

Here's a square. We'll discover every name that fits it.

Grade 5 · One shape, four names

First, count the sides. One, two, three, four.

Any closed shape with four straight sides is called a quadrilateral.

Look closely. The top and bottom sides go the same direction — they're parallel. So are the left and right.

When both pairs of opposite sides are parallel, the shape is a parallelogram.

Now check the corners. Each one is a perfect right angle — exactly ninety degrees.

A parallelogram with four right angles has another name: rectangle.

And every side is exactly the same length as the others.

A parallelogram with four equal sides is called a rhombus.

These names form a family tree, with the square at the very bottom.

So one square is a quadrilateral, a parallelogram, a rectangle, AND a rhombus — all at once!

Now you try. Choose the most specific name for this shape. Which name fits best?

What you see

While they climb, your page writes one true line to ask about tonight, and a short note each Sunday.

MayaGrade 3 · Mathematics
Did you know?

A chessboard has 64 squares — share them out between the 8 rows and each row holds exactly 8.

Today’s goal
1 star — one skill mastered, every rung of its ladder climbed
Climbing now
Divide within 100

An example student.

MayaGrade 3 · Mathematics

Maya earned 2 stars this week — Interpret multiplication as equal groups, which took 6 answers over 3 days before its star landed 3 days ago and Multiply by 6, 7, 8 and 9. Next up: Divide within 100.

An example week.

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