Geometry Mastery Challenge

What type of triangle has all sides of different lengths?

• Isosceles triangle

• Equilateral triangle

• Right triangle

• Scalene triangle

Which theorem states that if two triangles have two pairs of equal angles, they are similar?

• Triangle Inequality Theorem

• Angle-Angle (AA) Similarity Theorem

• Pythagorean Theorem

• Side-Angle-Side (SAS) Theorem

What is the sum of the interior angles of a triangle?

• 360 degrees

• 180 degrees

• 90 degrees

• 120 degrees

Which of the following is a property of an isosceles triangle?

• At least two sides are equal in length.

• All sides are equal in length.

• It has exactly one right angle.

• The angles are all 90 degrees.

If two sides of a triangle are equal, what can be said about the angles opposite those sides?

• The angles opposite the equal sides are different.

• The angles opposite the equal sides are both 90 degrees.

• The angles opposite the equal sides are equal.

• The angles opposite the equal sides are complementary.

What is the Pythagorean theorem used for?

• To determine the angles in obtuse triangles.

• To calculate the circumference of circles.

• To calculate the lengths of sides in right triangles.

• To find the area of any triangle.

In a right triangle, if one leg is 3 and the other leg is 4, what is the length of the hypotenuse?

• 5

• 6

• 7

• 8

Which of the following triangles is congruent to triangle ABC if AB = DE, AC = DF, and angle A = angle D?

• Triangle DEF'

• Triangle XYZ

• Triangle ABC

• Triangle DEF

What is the relationship between the angles of similar triangles?

• The corresponding angles of similar triangles are supplementary.

• The corresponding angles of similar triangles are complementary.

• The corresponding angles of similar triangles are equal.

• The corresponding angles of similar triangles are always obtuse.

If two triangles are congruent, what can be said about their corresponding sides and angles?

• The triangles can have different shapes but the same area.

• Their corresponding sides are equal in length and their corresponding angles are equal in measure.

• One triangle can be larger than the other while still being congruent.

• Their corresponding sides are unequal in length and their corresponding angles are unequal in measure.