Cogito
Grade 4 Math · Chapter 7 · Lesson 5
Sorting Shapes by Their Angles
What a shape has decides what it is called.
10 problems · about 15 minutes · 4.G.A.2
Figure — use these to answer the problems
Trapezoid
Straight sides
4
Corners
4
Warm-Up Review
From earlier lessons. Loosen up before the new work.
2 problemsFrom “Lines, Rays, and Segments”
At how many degrees do perpendicular lines cross?
AnswerFrom “Angles Add Together”
A right angle split into 25 and one more part. How big is that part?
Answer
Warm Up
Straightforward practice. Get the method working first.
4 problemsHow many right angles can a triangle have?
AnswerWhat names a shape?
- What it has: sides, angles, parallel lines.
- Which way up it is.
How many right angles does a rectangle have?
AnswerHow many pairs of parallel sides does a rectangle have?
Answer
Build It Up
The same ideas with more to keep track of.
2 problemsIs every rectangle also a square?
- No. Its sides need not be equal.
- Yes.
Does turning a shape change its name?
- No.
- Yes.
Stretch Yourself
Mixed problems. Work out what kind of question it is before you start.
2 problemsThe Square
Is every square also a rectangle?
- Yes. It has 4 right angles.
- No.
The Triangle
How many right angles can a triangle have?
Answer