← Back to course
4/6
Week 12 · Angles, lines and symmetry

Thursday

The folded map
// Measure, add and sort, then a big review
⏱ about 15 min

Thursday: The folded map

Chris the Coyote taps the feather in his hat. "Here is a tale about a fold," he says.

One windy afternoon, Ferris the Fox found a fallen leaf on the trail.

He folded it down the middle, and the two halves matched perfectly.

Then he tried folding his map the same way. Again, the two halves matched.

Bennie the Bear called that fold a line of symmetry.

Ferris spent the rest of the day folding paper shapes to find more of them.

Some shapes had many fold lines. A few had none at all.

"And that," says Chris, "is why Ferris never runs out of things to fold."

Story: Lines of symmetry

A line of symmetry is a fold line. The two halves match exactly.

A rectangle has 2 lines of symmetry: one across and one up and down.

A rectangle

A square has 4 lines of symmetry. Its corner to corner folds work too.

A square

A slanted parallelogram like this one has no lines of symmetry.

A slanted parallelogram
HOW MANY LINES OF SYMMETRY?
  • Read the question.
  • Tap your answer.
A squareHow many lines of symmetry does this shape have?
A rectangleHow many lines of symmetry does this shape have?
A trapezoidHow many lines of symmetry does this shape have?
A parallelogramHow many lines of symmetry does this shape have?
A rhombusHow many lines of symmetry does this shape have?
LETTERS AND FOLDS
  • Read the question.
  • Tap your answer.
Which letter has a line of symmetry?
Which letter has no line of symmetry?
A shape is folded on a line of symmetry. What is true about the halves?
ANGLES AND LINES REVIEW
  • Read the question.
  • Tap your answer.
An angleWhat kind of angle is this?
Two angles side by side, marked 40° and 50°40 + 50 = ?
Two angles side by side, marked 65° and ?65 + ? = 180
Two perpendicular linesWhat kind of lines are these?
SentenceTrue or false?
A square has 4 lines of symmetry.?
A rectangle has 4 lines of symmetry.?
Every shape has a line of symmetry.?
A line of symmetry folds a shape into matching parts.?
WHY THIS EXERCISEA rectangle has 2 lines of symmetry, not 4. A slanted parallelogram has none.
Try it
Fold a sheet of paper in half and open it again.
Put a few drops of paint on one side of the fold.
Fold it closed and press gently. Then open it.
The fold is a line of symmetry for your picture.
Draw a shape with exactly one line of symmetry. Draw the fold line.

What a fold! Tomorrow Freddy hosts the big review game.

← Wednesday