11/1/2023 Geometry Do Now

Postulate 1-6

The ___ ___ postulate states if three points are collinear then their segments add up to the total length of the line segment. I.E. AB + BC = AC

Postulate 1-8

The ___ ___ postulate states that the measurements of the interior angles of the whole angle can be added together to find the total measurement.

Tags

CCSS.4.MD.C.7

Postulate 1-9

If two angles form a linear pair, then they are ___.

Tags

CCSS.7.G.B.5

Which of the following theorems would verify that ∠COB & ∠AOD are congruent?

• Straight Angle Theorem

• Congruent Angle Theorem

• Vertical Angles Theorem

• Linear Pair Theorem

Tags

CCSS.7.G.B.5

• They are supplementary by same side interior angles postulate (3-1).

• They are supplementary by same side interior angles converse (Thm 3-6).

• They are congruent by corresponding angles converse (Thm 3-4).

• They are congruent by corresponding angles theorem (3-2).

Tags

CCSS.8.G.A.5

Alternate Exterior Angles Theorem (3-3)

• If a pair of parallel lines is cut by a traversal, then alternate exterior angles are congruent.

• If a pair of parallel lines is cut by a traversal, then alternate exterior angles are supplementary.

• If alternate exterior angles are congruent, then a pair of parallel lines is cut by a traversal.

• If alternate exterior angles are supplementary, then a pair of parallel lines is cut by a traversal.

Tags

CCSS.8.G.A.5

In the Alternate Interior Angle Theorem (3-1), for alternate interior angles to be congruent...

• The transversal has to cut through two lines

• Alternate Interior Angles are always congruent

• The transversal has to cut through two parallel lines

• All lines have to be parallel

Tags

CCSS.8.G.A.5

A convincing mathematical argument.

• Postulate

• Proof

• Geometric Figure

• Definitions

Tell whether the given statement is TRUE or FALSE

_____1. Two points are always collinear

_____2. Any three points are always coplanar.

_____3. Two planes intersect at a point.

_____4. Postulates are used to prove theorems.

_____5. There is exactly two lines through points R and T.

Tags

CCSS.HSG.CO.A.1

Activity 1 LET'S PRACTICE
Direction: Complete the following given statements.
1. All rights angles are _______
2. Three non-collinear points determine a ______.
3. The intersection of two planes is a ______.
4. Any ____ points are collinear.
5. A ______ is a statement which is assumed to be true without proof.

Tags

CCSS.4.G.A.1