ACT Practice Test 2008 form 61B, questions 15-40

In the figure on left, AC || DF, ΔEBF is isosceles with EB = FB, and ∠ABE measures 40°. What is the measure of ∠ABF?

• 120°

• 130°

• 140°

• 150°

What is the relationship between the sides of an isosceles triangle?

• In an isosceles triangle, all three sides are of equal length.

• In an isosceles triangle, two sides are of equal length, and the angles opposite those sides are equal.

• In an isosceles triangle, the longest side is opposite the smallest angle.

• In an isosceles triangle, all angles are equal.

How do you find the slope of a line given two points?

• The slope m is given by @@m = rac{y2 - y1}{x2 - x1}@@

• The slope m is given by @@m = rac{y1 - y2}{x1 - x2}@@

• The slope m is given by @@m = y2 - y1@@

• The slope m is given by @@m = x2 - x1@@

What is the definition of a diameter in a circle?

• A line segment connecting two points on the circumference of a circle.

• A straight line passing from side to side through the center of a circle, measuring twice the radius.

• A line that divides the circle into two equal halves without passing through the center.

• The distance around the circle, also known as the circumference.

What is the definition of parallel lines?

• Lines that intersect at a right angle.

• Lines that never meet and have the same slope.

• Lines that are always horizontal.

• Lines that are always vertical.

The diameter of a circle is 10 centimeters. What is its circumference, in centimeters?

• 10

• 20

• 10π

• 15

What is the formula for the area of a triangle?

• @@A = rac{1}{2} imes ext{base} imes ext{height}@@

• @@A = ext{base} imes ext{height}@@

• @@A = rac{1}{3} imes ext{base} imes ext{height}@@

• @@A = ext{base} + ext{height}@@

What is the simplified form of @@ (b^3)^{10} @@?

• @@b^{20}@@

• @@b^{30}@@

• @@b^{10}@@

• @@b^{15}@@

What is the relationship between the angles in an isosceles triangle?

• The angles opposite the equal sides are equal.

• All angles are equal in an isosceles triangle.

• The sum of the angles is always 180 degrees.

• The angles opposite the unequal sides are equal.

What is the power of a power property in exponents?

• The power of a power property states that @@ (a^m)^n = a^{m \times n} @@.

• The power of a power property states that @@ a^{m+n} @@.

• The power of a power property states that @@ a^{m-n} @@.

• The power of a power property states that @@ (a^m)^{1/n} = a^{m/n} @@.