Skip to lesson

Choose “Save as PDF” in the print dialog to keep a copy.

Cogito

Integrated Math 1 · Chapter 6 · Lesson 2

Practice Worksheet

Congruence Through Transformations

Same shape means one can be moved onto the other.

12 problems · about 21 minutes · G-CO.B.6, G-CO.B.7

NameDate

Figure — use these to answer the problems

Slide the shape onto another position. If some sequence of these moves lands one exactly on the other, they are congruent.
Units to slide4
Figure 1

Warm Up

Straightforward practice. Get the method working first.

5 problems

  1. ABC congruent to DEF with AB = 7. What is DE?

    Answer

  2. What does it mean for two figures to be congruent?

    • Rigid transformations carry one exactly onto the other.
    • They look roughly alike.

  3. ABC congruent to DEF with BC = 9. What is EF?

    Answer

  4. Same triangles with angle A = 70°. What is angle D?

    Answer

  5. Same triangles with AC = 12. What is DF?

    Answer

Build It Up

The same ideas with more to keep track of.

3 problems

  1. Do congruent figures have to be the same size? 1 yes, 0 no.

    Answer

  2. Angles of a triangle are 70 and 40. What is the third, in degrees?

    Answer

  3. Does the order of letters in a congruence statement matter? 1 yes, 0 no.

    Answer

Stretch Yourself

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

4 problems

  1. Which transformations can be used to show congruence?

    • Translation
    • Reflection
    • Rotation
    • Enlargement
    • Tick every box that applies.

  2. ABC congruent to DEF with angle C = 55°. What is angle F?

    Answer

  3. The Correspondence

    Triangle ABC is congruent to triangle DEF, and AB = 5. What is DE?

    Answer

  4. The Angle

    Same triangles, and angle B is 40°. What is angle E, in degrees?

    Answerdegrees