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Cogito

Grade 5 Math · Chapter 8 · Lesson 5

Practice Worksheet

The Shape Hierarchy

A property of a group belongs to everything in it.

10 problems · about 15 minutes · 5.G.B.3, 5.G.B.4

NameDate

Figure — use these to answer the problems

Turn the shape. Its properties, and so its names, do not change.

Rhombus

Straight sides

4

Corners

4

Turn it0
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

2 problems

  1. From “Patterns as Pairs”

    A adds 3, B adds 12, from 0. What is B when A is 9?

    Answer

  2. From “The Coordinate Plane”

    In (6, 1), how far across do you go?

    Answer

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. Is every rectangle a parallelogram?

    • Yes.
    • No.

  2. If a group has a property, what do the shapes inside it have?

    • That property too.
    • Nothing in particular.

  3. How many right angles does a rectangle have?

    Answer

  4. How many pairs of parallel sides does a parallelogram have?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. Is every square a parallelogram?

    • Yes.
    • No.

  2. Can one shape have several correct names?

    • Yes.
    • No.

Stretch Yourself

Mixed problems. Work out what kind of question it is before you start.

2 problems

  1. One Way Round

    Is every rectangle a square?

    • No. Its sides need not be equal.
    • Yes.

  2. The Other Way

    Is every square a rectangle?

    • Yes. It has 4 right angles.
    • No.