Download Geometry - Chapter 6 Partner Test

Geometry - Chapter 6 Partner Test
2. A worker in an assembly line takes 6 hours to produce 23 parts. At that rate, how many parts can she produce
in 30 hours?
3. While attending a school carnival, you estimate the ratio of children to adults as
at the carnival, about how many children are in attendance?
If there are 800 people
4. The measures of the angles of a triangle are in the extended ratio of 7 : 9 : 10. Find the measures of the angles
of the triangle.
5. Given that
, find BC to the nearest tenth. The figure is not drawn to scale.
6. Are the two polygons similar? (They are not drawn to scale, but assume all angles are 90°.) If not, explain
why.
12
1
16
7
4
3
29
4
7. ABC and XYZ are similar with A = X, and B = Y. If AB, BC, and AC are 5 inches, 6 inches, and 9
inches, respectively, and XY is 12 inches, find XZ.
8. Given that
solve for x and y.
9. The triangles below are similar. Find x.
10. Two ladders are leaning against a wall at the same angle as shown.
How long is the shorter ladder?
11. Use the figure to find
CED. The figure is not drawn to scale.
12. True or false: triangle CDE is similar to triangle FGH.
13. In
and
In
triangles are similar, and if so, write a similarity statement.
and
State whether the
14. What value of x will make the two triangles similar?
Tell whether each pair of triangles is similar. Explain your reasoning.
15.
16. Given:
. Find the length of
.
17. Given:
. Find the length of
.
18. In the diagram
21.
Solve the proportion
. Use the given side lengths to find the length of
.
.
22. Find the geometric mean of 6 and 24.
23. A map has a scale of
apart are they on the map?
If the actual distance between the two cities is 784 miles, how far
24. State the postulate or theorem that can be used to prove that the two triangles are similar.
25. State the postulate or theorem that can be used to prove that the two triangles are similar.
26. Given:
. Find the length of
.
Determine whether the triangles are similar. If the are, write a similarity statement.
27.
28. In the figure shown,
||
, AB = 3 yards, BC = 8 yards, AE = 20 yards, and
The polygons in each pair are similar. Find the value of each variable.
29.
30. Find AC.
Find