1. Chapter 6 Review

2. In the diagram, ΔABC ~ ΔXYZ.
Find YZ.

3. ABCDE ~ FGHJK.
Find the value of x
Find the perimeter of ABCDE

4. Determine whether the dilation from Figure A to Figure B is a reduction or an enlargement. Then find its scale factor.

5. Give the coordinates A(0, 0), B(0, 2), C(2, 2), D(4, 0);
Dilation with a scale factor of 2.25

6. Determine whether the triangles are similar
Determine whether the triangles are similar. If so, write a similarity statement and the postulate or theorem that justifies your answer.

7. Determine the value of x that makes ΔABC ~ ΔXYZ

8. Find the length of AB.

9. ΔZXY ~ ΔZVU. Describe the transformation(s) that move ΔZVU onto ΔZXY.

10. MNOP is similar to EFGH. Describe the transformation(s) that move EFGH onto MNOP.

11. A surveying technique is used to find the width of Mirror Lake
A surveying technique is used to find the width of Mirror Lake. In the diagram, ΔACE ~ ΔBCD. Find the width of the lake, AB.

12. Always/Sometimes/Never
An equilateral triangle and an equiangular triangle.
Always
If two sides of one triangle are proportional to two sides of a 2nd triangle, the triangles are similar
Sometimes
An isosceles triangle and a scalene triangle
Never
A right triangle and an acute triangle

13. A right triangle and a scalene triangle
Sometimes
Two equilateral triangles
Always
Two isosceles triangles are similar if a base angle of one is congruent to a base angle of another
Two isosceles triangles are similar if the vertex angle of one is congruent to the vertex angle of another