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Identify Properties of Two-Dimensional Figures

Students review and identify key properties of two-dimensional figures, including number of sides, angle types (right, acute, obtuse), parallel sides, and perpendicular sides. These properties form the basis for classifying and hierarchically organizing shapes.

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Identify Properties of Two-Dimensional Figures

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

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20 rungs. A star at the top.

XYZ

Add up the sides of polygon XYZ.

Count the sides.

How it is taught

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Two-dimensional figures are described by sides and angles.

Parallel sides never meet, and perpendicular sides make a right angle.

Look at the shapes beside this page.

1234

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 rectangle, a square and a right triangle. How many right angles do they have in all? — 9. 4 in the rectangle, 4 in the square and 1 in the right triangle: 9 right angles.

Find the properties of a rectangle

Let's look at this shape and find out what makes it special.

First, let's count the sides. One, two, three, four.

This figure with four straight sides is called a quadrilateral.

Grade 5 · Sides, angles, parallel & perpendicular

Now let's check the corners — the angles.

Every corner is a square corner. That's a right angle, exactly ninety degrees.

The top and bottom sides go the same way and never meet. They are parallel.

The left and right sides are parallel too. That's two pairs of parallel sides.

When two sides meet at a right angle, we say they are perpendicular.

This shape is a rectangle: four sides, four right angles, two pairs of parallel sides, and perpendicular sides.

Now you try. Name this figure from the list. Which name fits this figure?

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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