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?

Solution

Problem 2 :

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 :

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

Solution

Problem 4 :

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

Solution

Problem 5 :

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

Solution

Problem 6 :

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 :

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

Solution