Geometry Intro to Reasoning

What are vertical angles?

• Congruent angles formed opposite each other by the intersection of two lines.

• Angles formed by the intersection of two perpendicular lines.

• Angles formed by the intersection of two parallel lines.

• Angles formed by the intersection of two intersecting lines at a right angle.

Name the property of equality or congruence that justifies going from the first statement to the second statement.

• Reflexive Property of Congruence

• Symmetric Property of Congruence

• Distributive Property

• Transitive Property of Congruence

Which two statements make up the following biconditionals: "A polygon is a triangle if and only if it has exactly 3 sides."

• 1. If a polygon is a triangle, then the polygon has exactly three sides. 2 If a polygon has exactly three sides then it is a triangle

• 1. If a polygon is not a triangle, then the polygon does not have three side. 2. If a polygon does not have three sides,then it is not a triangle.

• 1. A polygon is a triangle. 2. The polygon has three sides.

A statement or conjecture that has been proven

• Plane

• Postulate

• Axiom

• Theorem

What is reason #1?

• Reflexive Property

• Definition of Bisect

• Prove

• Given

Match the REASONS with the STATEMENTS.

d

e

f

g

h

Given

Def of angle bisector

Vertical angles

Linear pair

Transitive property

Reflexive property

Def of congruent angles DOCA

Addition property

Tags

CCSS.MATH.CONTENT.HSG.CO.C.9

If B is the midpoint of RL, then RB=BL

• Definition of congruent segments

• Segment addition postulate

• Given

• Definition of midpoint

If KL=RT then _____

• RT=KL

• KL=KL

• 4KL=4RT

• KL+C=RT+C

A__________ is a fixed position in space and has no dimensions or size.

• Point

• Line

• Plane

• Cube

A ________ has infinite points; one dimension and extends in opposite directions forever.

• Point

• Line

• Line segment

• Plane