NAME______DATE______PER.______

SIMILAR POLYGONS-REVIEW

  1. x = ______
/ Solve for ‘x’:
2. x = ______/ Solve for ‘x’:
3. ______/ If , then which of the following are true?
A) ad=bc B) cb=da C) db=ca D) cd=ab
______4. / A survey showed that 2 out of every 5 voters would vote in an election. Based on this survey, how many people would vote in a city with 20,000 voters?
______5. / Given points A(-3, 2) and B(2,3) on line m, write a ratio expressing the slope of m.
______6. / Jared is buying pizza for a class party. If each pizza costs $12.75, including tax, and feeds 4 students, about how much money will he need to feed 23 students?

7. Use the similar triangles to identify the pairs of congruent angles and proportional corresponding side lengths.

Congruent angles: ______

______

______

Proportional corresponding sides: ______, ______, ______

8.

For problems 9 – 11, use the polygons below. Find the correct answer to each problem, then write its corresponding letter in the blank provided. Quad. ABCD  Quad. WXYZ

______9. / What is the common ratio of Quad. ABCD to Quad. WXYZ?
______10. / Find the measure of W.
______11. / Find XY.

12. x = ______
y = ______/ RST UVT

13. x = ______
y = ______/ RSTU  LMNO
14. Similar? YES or NO
How?______
EQR ______
15. ______

16. Similar? YES or NO
How?______
LMN ______/ KPHS has 1620 students and 415 sophomores. What is the ratio of total students to sophomores?
17. If two polygons are similar, then corresponding sides are ______and corresponding angles are ______.
18. ______/ The ratio of the measures of a pair of sides of a rectangle is 7:12. If the perimeter of the rectangle is 95, what is the length of each side?
19.______/ If a 12-foot tree casts a 6-foot-long shadow. How tall is a tree that casts a 4-foot-long shadow?
20.______/ At the same time of day, a man who is 6-feet tall casts an 8-foot-long shadow, and his son casts a 4-foot-long shadow. What is the height of the man’s son?
21. ______/
Find the length of ST.

22. ______/ Given that RT  AC, SR = 10, SC = 4, and CT = 4,
find SA.
23. ______

24. ______

25. ______/ If the similarity ratio of two rectangles is ⅔, then the ratio of their perimeters is ______, and the ratio of their areas is ______.
Given ∆ABC~∆JKL, find the area of ∆JKL if AB=10, JK=40 , and the area of ∆ABC= 22 .
Find the value of ‘x’.

26. ______/ The rectangular central chamber of the Lincoln Memorial is 74 ft long and 60 ft wide. If a drawing uses a scale of 1 in: 20 ft, what would be the dimensions in the drawing?

27. VerifyAB and CD are parallel.

Vocabulary: similar polygons, similar, ratio, proportion, means, extremes, cross product, scale drawing, similarity ratio, scale factor