SIMILAR TRIANGLES WORKSHEET FOR SAT

Problem 1 :

A summer camp counselor wants to find a length, x, in feet, across a lake as represented in the sketch above. The lengths represented by AB, EB, BD, and CD on the sketch were determined to be 1800 feet, 1400 feet, 700 feet, and 800 feet, respectively.  Segments AC and DE intersect at B and  AEB  and CDB have the same measure. What is the value of x?

similar-triangle-SAT-q1

Solution

Problem 2 :

similar-triangle-SAT-q2.png

Right triangles PQR and STU are similar, where P corresponds to S. If the measure of angle Q is 18°, what is the measure of angle S?

A) 18°      B) 72°      C) 82°    D) 162°

Solution

Problem 3 :

similar-triangle-SAT-q3.png

In the figure above, AD = 3, BD = 6 and BC = 15. What is the area of trapezoid ADEC ?

Solution

Problem 4 :

SAT-problems-on-trianlge-q3.png

In the figure above, AB is parallel to CD. If BC = 15, what is the length of EC ?

Solution

Problem 5 :

similar-triangle-SAT-q4.png

In the figure above, BD is parallel to AE. What is the length of CE ?

Solution

Problem 6 :

similar-triangle-SAT-q5.png

Triangles ABC and DEF are shown above. Which of the following equal to the ratio BC/AB ?

a)  DE/DF     b)  DF/DE      c)  DF/EF        d)  EF/DE

Solution

Problem 7 :

similar-triangle-SAT-q6.png

In the figure above, tan B = 3/4. If BC = 15 and DA = 4, what is the length of DE ?

Solution

Answer Key

1) x = 1600 ft

2) ∠S  = 72

3) 30 square units

4)  EC = 9

5) CE = 30

6)  BC/AB = DF/DE

7) 6

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