GEOMETRY WORKSHEET ON LINES ANGLES AND TRIANGLES WORKSHEET FOR SAT

Problem 1 :

In the figure above, if AB is a line, what is the value of y?

A) 108       B) 114       C) 117    D) 120     E) 135

Solution

Problem 2 :

In the figure above, AD, BE and CF intersect at point O. If the measure of ∠AOB is 80° and CF bisects ∠BOD, what is the measure of ∠EOF?

A) 40°     B) 50°     C) 60°         D) 70°          E) 80°

Solution

Problem 3 :

In the figure above, if x = 70 and y = 40 and the dotted lines bisect the angles with measures x° and y°, what is the value of z?

A) 30           B) 40         C) 45            D) 50            E) 55

Solution

Problem 4 :

In the figure above, y + z = 

A) 180          B) 195       C) 215        D) 230      E) 245

Solution

Problem 5 :

In △ABC above, what is the value of x ?

A) 25         B) 30         C) 35       D) 40       E) 60

Solution

Problem 6 :

If the length of a rectangle is increased by 30% and the width of the same rectangle is decreased by 30%, what is the effect on the area of the rectangle?

A) It is increased by 60%           B) It is increased by 30%

C) It is unchanged             D) It is decreased by 15%

E) It is decreased by 9% 

Solution

Problem 7 :

What is the value of w in the figure above?

A) 90        B) 100         C) 110          D) 135       E) 145

Solution

Problem 8 :

In the figure above, l||m, if x = 80 and y = 70, what is the value of z?

A) 30      B) 60       C) 75       D) 90            E) 150

Solution

Problem 9 :

For the triangles above, the perimeter of △ABC equals the perimeter of △DEF. If △ABC is equilateral, what is the length of AB?

A) 4       B) 5         C) 7           D) 9          E) 15

Solution

Problem 10 :

A square and an equilateral triangle have equal perimeters. If the square has sides of length 3, what is the length of one side of the triangle?

A) 2       B) 3        C) 4           D) 5          E) 6

Solution