Geometry Concepts and Theorems

Miss Reese reviews essential topics from the Unit 3 test, focusing on solving problems using angle relationships, the triangle sum theorem, and the Pythagorean theorem. Students learn to solve for variables X, Y, and Z using vertical angles, linear pairs, complementary angles, corresponding angles, and same side interior angles. The video also covers the triangle inequality theorem, helping students understand the conditions for forming triangles.

If two angles are vertical, what can be said about their measures?

• They are complementary.

• They are equal to 90 degrees.

• They are supplementary.

• They are congruent.

What is the sum of angles in a linear pair?

• 90 degrees

• 270 degrees

• 180 degrees

• 360 degrees

When two angles are corresponding, what is true about them?

• They are complementary.

• They are adjacent.

• They are supplementary.

• They are equal.

What do same side interior angles add up to when lines are parallel?

• 360 degrees

• 90 degrees

• 180 degrees

• 270 degrees

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

• 270 degrees

• 360 degrees

• 180 degrees

• 90 degrees

In a right triangle, which side is the hypotenuse?

• The side adjacent to the right angle

• The side opposite the smallest angle

• The longest side

• The shortest side

What is the Pythagorean theorem formula?

• a^2 + b^2 = 2c^2

• a^2 + b^2 = c^2

• a^2 = b^2 + c^2

• a^2 - b^2 = c^2

What does the triangle inequality theorem state?

• The sum of any two sides must be greater than the third side.

• The sum of any two sides must be less than the third side.

• The sum of all sides must be equal.

• The sum of all angles must be 180 degrees.

If the sides of a triangle are 13, 16, and 29, does it form a triangle?

• Yes, because 13 + 16 > 29

• No, because 13 + 16 = 29

• Yes, because 13 + 16 < 29

• No, because 13 + 16 > 29

For a triangle with sides 22 and 28, what is the range for the third side?

• 5 to 45

• 15 to 55

• 10 to 60

• 6 to 50