UNIT 6 TEST: SIMILARITY
FORMULA SHEET
1. Which of the following is a non-isometric transformation?
2. Which of the following is a dilation?
3. Determine the scale factor of the given dilation from point O?
4. Determine whether the dilation is an enlargement or a reduction.
5. Determine if the scale factor for the following dilation:
For questions 6 and 7
6. What is the center of dilation for the transformation above?
7. What is the scale factor for the transformation above?
8. What is the value of x?
9. What is the value of y?
10.
11. These two triangles are similar, which is the correct similarity statement?
12.
13. What is the value of x?
14. Find the value of x.
15.
POSSIBLE REASONS FOR THE PROOF ABOVE:
- Given
- Parallel lines cut by a transversal and corresponding angles are congruent.
- Parallel lines cut by a transversal and alternate interior angles are congruent.
- Parallel lines cut by a transversal and alternate exterior angles are congruent.
- Parallel lines cut by a transversal and same side interior angles are supplementary.
- Parallel lines cut by a transversal and same side exterior angles are supplementary.
- Vertical angles are congruent
- Linear pairs are supplementary.
- Sides are proportional
- AA Similarity Theroem
- SSS Similarity Theorem
- SAS Similarity Theorem