Year 8 Topic Test

Congruence and Transformations

Instructions

1. This topic test will be completed under strict exam conditions.2. Read all questions carefully before you start.3. Show all your calculations where you can4. Male sure all your drawings are done with a ruler5. Check all answers before you finish6. You may use a calculator7. When you finish put your hand up and your supervising teacher will

instruct you on what to do next. DO NOT MAKE NOISE.8. Failure to follow these clear instructions will result in a zero mark for the

test and students will required to resit the exam at the next after school maths program timeslot from 3.30pm to 4.30pm on a Tuesday.

Equipment Required

1. Pen2. Pencil3. Ruler4. Rubber5. Calculator

Name: ………………………………………………….

Mentor Group: ………………………………………………….

1. In your own words, what is an axis of symmetry ?

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2. In your own words, what is rotational symmetry?

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3.

4. For each of the unfinished shapes below, fill in some changes to the shape so that each of your new finished shape has the number of lines of symmetry indicated.

5. Under each moved shape, identify if they have been changed by either translation (TR), Rotation (RO) or Reflection (RE)

6. State the translation that has occurred to each of these shapes.

Use U for up, D for down, R for right and L for Left

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7. Complete the following translation

8. Complete the following reflections

9. Complete the following table

10. What does the word congruence mean ???

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11. What are the 4 tests of congruency in a triangle ???

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12. Why would a triangle with all its angles equal, not be congruent?

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13. In each part of this question, circle the pair of congruent triangles and state the rule used to prove they are congruent.

What rule did you use in part…

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b)…………………………………………………………………………...

c)…………………………………………………………………………...