WORKSHEET ON GEOMETRY FOR PSAT

Problem 1 :

In the figure above, points A and C lie on line l. What is the value of x ?

A) 30        B) 40          C) 50        D) 60         E) 70

Problem 2 :

How many pairs of parallel lines are in the figure above?

A) One     B) Two      C) Three         D) Four       E) Five

Problem 3 :

In the figure above, point P lies on line segments QT and RU. If the measure of ∠RPQ is 40° and the measure of ∠SPU is 70°, what is the measure of ∠SPT?

A) 30°         B) 35°       C) 40°       D) 45°          E) 50°

Problem 4 :

In △ACD above, BE||CD nd the length of AB is 2/3 the length of AC, if the length of AD is 12, what is the length of AE?

Problem 5 :

In the figure above, △BCF and △CDE have the same size and same shape. If ABFE is a rectangle, AB = 2, and DE = 3, what is the area of ABCD?

A) 15        B) 20        C) 25         D) 30         E) 40

Problem 6 :

In the figure above, point P is on line l. What is the value of x?

A) 25           B) 30            C) 35           D) 40      E) 45

Problem 7 :

In the figure above, AC||GD and CE||BF. What is the value of x?

Problem 8 :

In △ABC above, AB = BC. What is the value of y?

A) 40      B) 55      C) 65       D) 70        E) 90

Problem 9 :

In the figure above, AE||CD and AB and BE have equal length. If y = 81, what is the value of x?

Problem 10 :

Three lines intersect in the figure above. If x = 115 and w = 140, what is the value of y?

A) 55        B) 65       C) 75      D) 95        E) 105

Problem 11 :

In the figure above, △ABC is an isosceles right triangle and △ADE is an equilateral triangle. If the measure of ∠EAC is x°, what is the value of x?

Solution