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Cogito

Grade 8 Math · Chapter 9 · Lesson 2

Practice Worksheet

Distance Between Two Points

Pythagoras on a coordinate grid.

10 problems · about 19 minutes · 8.G.B.8

NameDate

Figure — use these to answer the problems

The two legs are the coordinate gaps; the hypotenuse is the distance.
adjacent = 3opposite = 4hyp = 5
Gap in x3
Gap in y4
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

3 problems

  1. From “The Pythagorean Theorem”

    Legs 9 and 12. Hypotenuse?

    Answer

  2. From “Placing an Irrational Number”

    √40 lies between which two whole numbers? Give the smaller.

    Answer

  3. From “Cube Roots”

    Cube root of 216?

    Answer

Warm Up

Straightforward practice. Get the method working first.

3 problems

  1. From (0, 0) to (8, 15). Distance?

    Answer

  2. Legs 6 and 8. Distance?

    Answer

  3. From (1, 1) to (4, 5). Distance?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. Legs 9 and 12. Distance?

    Answer

  2. From (−2, 0) to (1, 4). Distance?

    Answer

Stretch Yourself

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

2 problems

  1. The Diagonal

    Legs of 3 and 4. What is the distance?

    Answer

  2. The Longer One

    From (0, 0) to (5, 12). What is the distance?

    Answer