Honors Geometry - Chaper 3.1-3.3

Definition: What is an auxiliary line?

An extra line needed to complete a proof, represented as a dashed line.

How would you state in a proof that you decided to use an auxiliary line?

By **stating**:"Draw a line from point _ to point _", then using the postulate "two points make a segment" as your reason.

What is the definition of CPCTC?

Corresponding Part of Congruent Triangles are Congruent

FLIP CARD OVER FIRST TIME

Answer:

• AE is the median of △ABC

• AD is the altitude of △ABC

In △ABC: D and E are points on BC such that BE=CE, and AD ⊥ BC.
What can you conclude?

If the base of a triangle is equal to the altitude, what would be true for the area? (let x be equal to the base)

The area would be 1/2(x)^2, because x is always being multiplied by itself

At what point could you use CPCTC in a proof?

Only after you have proved at least 2 triangles congruent in the steps before that

What kind of angle is formed with an altitude?

90° or a Right Angle

What does the MEDIAN do?

Bisects the segment opposite of any vertex on a triangle. (3 medians total)