Triangle Properties and Geometric Concepts

This video provides a concise overview of first-semester geometry, covering points, lines, and shapes, and delving into angles and triangles. It explains the properties of parallel and perpendicular lines, transformations, and congruence. The video also explores advanced triangle concepts, including bisectors, centers, and the triangle inequality theorem.

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

• Add the x-coordinates and y-coordinates of the endpoints and divide by 2

• Multiply the x-coordinates and y-coordinates of the endpoints

• Subtract the x-coordinates and y-coordinates of the endpoints

• Divide the x-coordinates and y-coordinates of the endpoints by 2

Which type of triangle has all three angles less than 90 degrees?

• Right triangle

• Acute triangle

• Scalene triangle

• Obtuse triangle

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

• 270 degrees

• 360 degrees

• 180 degrees

• 90 degrees

What do we call angles that are on the same side of a transversal and inside the parallel lines?

• Corresponding angles

• Alternate interior angles

• Alternate exterior angles

• Same side interior angles

What is the relationship between the slopes of two perpendicular lines?

• They are equal

• They are both zero

• They are both undefined

• They are negative reciprocals

Which transformation does not change the size of a geometric figure?

• Dilation

• Translation

• Reflection

• Rotation

What is the criterion called when two triangles are congruent because all three sides are equal?

• SAS

• ASA

• SSS

• AAS

Which point is the intersection of the medians of a triangle?

• Circumcenter

• Incenter

• Centroid

• Orthocenter

What is the name of the segment that connects the midpoints of two sides of a triangle?

• Median

• Angle bisector

• Midsegment

• Altitude

According to the triangle inequality theorem, what must be true for the sides of a triangle?

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

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

• The sum of all three sides must be equal

• The sum of all three sides must be less than 180 degrees