Exploring CPCTC Concepts in Geometry

What are the two main focuses of Section 3.4?

• Definitions and constructions, and proof-based learning

• Only definitions

• Only constructions

• Only proof-based learning

When can CPCTC be used in a proof?

• Only in right triangles

• Without proving anything

• Before proving triangles congruent

• After proving triangles congruent

What is an auxiliary line?

• A line that does not appear in the original figure

• A line that appears in the original figure

• A line that is always parallel

• A line that is always perpendicular

What is the definition of an altitude in a triangle?

• A segment that is parallel to the base

• A segment that bisects the angle

• A segment from the vertex forming right angles with the opposite side

• A segment from the vertex to the midpoint of the opposite side

How many altitudes can be drawn in a triangle?

• Four

• Three

• Two

• One

In a right triangle, what can be said about the altitudes?

• They are always outside the triangle

• They coincide with the sides of the triangle

• They are always inside the triangle

• They do not exist

What is a median in a triangle?

• A segment that is parallel to the base

• A segment forming right angles with the opposite side

• A segment from the vertex to the midpoint of the opposite side

• A segment that bisects the angle

How many medians can be drawn in a triangle?

• Two

• Four

• One

• Three

Can a segment be both a median and an altitude?

• No, never

• Yes, always

• Yes, in certain cases

• Only in right triangles

What does a median do to the opposite side of a triangle?

• Divides it into two congruent segments

• Forms right angles with it

• Makes it parallel to the base

• Bisects the angle