Geometry Concepts and Theorems

This video covers the highlights of first semester geometry, including points, lines, and shapes. It explains different types of angles and how triangles are classified by angles and sides. The video also discusses parallel and perpendicular lines, transformations, and congruence. Advanced triangle concepts such as bisectors, centers, and the triangle inequality theorem are also explored.

What is the formula used to find the midpoint of a line segment in a coordinate grid?

• Midpoint = (x1 + x2, y1 + y2)

• Midpoint = ((x1 - x2)/2, (y1 - y2)/2)

• Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

• Midpoint = (x1 - x2, y1 - y2)

Which type of angle is exactly 90 degrees?

• Acute

• Right

• Obtuse

• Straight

A triangle with all sides of different lengths is called?

• Right

• Scalene

• Isosceles

• Equilateral

What is the term for a line that intersects two parallel lines, creating various angles?

• Altitude

• Bisector

• Median

• Transversal

What is true about the slopes of two perpendicular lines?

• They are undefined

• They are negative reciprocals

• They are equal

• They are both zero

Which transformation does not change the size of a figure?

• Rotation

• Reflection

• Translation

• Dilation

What is the term for two figures that have the same shape but not necessarily the same size?

• Congruent

• Equivalent

• Similar

• Identical

Which criterion is used to prove two triangles are congruent if all three sides are known?

• SAS

• ASA

• AAS

• SSS

What is the name of the point where the angle bisectors of a triangle meet?

• Incenter

• Orthocenter

• Circumcenter

• Centroid

According to the triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be:

• Twice the third side

• Greater than the third side

• Equal to the third side

• Less than the third side