5-Minute Check 1 1 Angle 1, symmetric AB = TU, Transitive RSWX 28 Substitution.

5-Minute Check

1

Angle 1, symmetric

AB = TU, Transitive

RS WX

28 Substitution

• Students will analyze & write proofs using geometric theorems. Why? So you can prove angles are congruent, as seen in EX 21.

• Mastery is 80% or Better on 5-Minute Checks and Indy Work.

The given is the hypothesis of a conditional

The prove is the conclusion of a conditional

Let’s analyze

If m2 = m3 and mAXD = mAXC, then m1 = m4

Now we just need to find “evidence” that this is a true statement and list it.

Written as a conditional statement

Skill Development

Always start a proof by restating the given information

Given is your first reason

What ’s add

together here

Prove is never a reason

Skill Development

Skill Development Your first Theorems

What was the Objective?

• Students will analyze & write proofs using geometric theorems. Why? So you can prove angles are congruent, as seen in EX 21.

• Mastery is 80% or Better on 5-Minute Checks and Indy Work.

Definition of a segment Ruler Postulate (1-1) Segment Addition Postulate (1-2) Distance Formula Definition of a midpoint Midpoint Formula Definition of an angle Definition of ray Definition of an interior point/angle Definition of an exterior point/angle Protractor Postulate (1-3) Angle Addition Postulate (1-4) Definition of a right angle Definition of an obtuse angle Definition of an acute angle Definition of adjacent angles Definition of vertical angles Definition of a linear pair Definition of supplementary angles Definition of complementary angles

Definition of perpendicular lines Definition of straight angle Definition of an angle bisector Definition of collinear points Definition of coplanar points Definition of congruent segments/angles Two points - Line Postulate (2-1) Three points - Plane Postulate (2-2) Line - Two points Postulate (2-3) Plane - Three points Postulate (2-4) Line in Plane Postulate (2-5) Plane intersection Postulate (2-6) Law of Detachment Law of Syllogism Reflexive Property Symmetric Property Transitive Property Add/Subtract Property Mult/Division Property Substitution Property Distributive Property

A list of reasons that could be used so far (This isn't comprehensive but it is close.... The bolded ones are the more commonly used):

Think…..Ink….Share

symmetric

transitiveSubst.

distributive+ prop of =

reflexive ÷ prop of =

- Prop of =

given

transitive

Def. of midpoint

given

Def of linesDef of a rt + postulateSubst.Subst.

Guided Practice

given

Linear pair ’s are supp.

Def of a linear pair

Subst.

- Prop of =

With a Partner ….Think…Ink…Share

Performance Task-White Boards

List the reasons

only

Given

Reflexive

Segment Add

Segment Add

Substitution

Substitution

Exit Slips

• What 2 steps are easiest is writing a proof?

• What is / are the most challenging step(s)for you?

• What do you need more help with?

What was the Objective?

• Students will analyze & write proofs using geometric theorems. Why? So you can prove angles are congruent, as seen in EX 21.

• Mastery is 80% or Better on 5-Minute Checks and Indy Work.

Homework

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