how do you know that: segment addition postulate 2 3 4 5 1 67 8 j k d c b a segment ab + segment bc...

How do you know that:

Segment addition postulate

2 3 45

1678

jk

D C

BA

Segment AB + segment BC = segment AC?

How do you know that:

Def linear pair

2 3 45

1678

jk

D C

BA

Angle 1 + angle 8 = 180

Write as a biconditional:

A polygon is an octagon iff it has 8 sides.

An octagon is a polygon with 8 sides.

How do you know that:

Def linear pair

2 3 45

1678

jk

D C

BA

Angle 5 is supp to angle 6

How do you know that:

given

2 3 45

1678

jk

D C

BA

Line j is // to line k?

D

O R

I

Segment DI

Segment OR is congruent to __________.

How do you know that:

Vertical angle thm

2 3 45

1678

jk

D C

BA

Angle 7 is congruent to angle 1

List all pairs of:

1 & 4, 8 & 5

2 3 45

1678

jk

D C

BA

SSE angles

How do you know that:

Vertical angle thm

2 3 45

1678

jk

D C

BA

Angle 4 is congruent to angle 6

Give another name for:

Segment BA

2 3 45

1678

jk

D C

BA

Segment AB

Give another name for:

Ray AC

2 3 45

1678

jk

D C

BA

Ray AB

How do you know that:

// lines Alt Ext angles are congruent

2 3 45

1678

jk

D C

BA

Angle 8 is congruent to angle 4

D

O R

I

Is supplementary to

Angle D ____________ angle O.

Give another name for:

Angle 8, angle DCB, angle ACD, and angle BCD

2 3 45

1678

jk

D C

BA

Angle DCA

Write as a biconditional:

2 angles are congruent iff they have the same measure.

Congruent angles have the same measure.

List all pairs of:

1 & 3 2 & 4 5 & 7 8 & 6

2 3 45

1678

jk

D C

BA

Corresponding angles

How do you know that:

// lines Corresponding angles are congruent

2 3 45

1678

jk

D C

BA

Angle 8 is congruent to angle 6

List all pairs of:

7 & 3 6 & 2

2 3 45

1678

jk

D C

BA

Alt int angles

How do you know that:

Vertical angle thm

2 3 45

1678

jk

D C

BA

Angle 8 is congruent to angle 2?

Write as a biconditional:

2 angles form a linear pair iff they are both adjacent and supplementary.

A linear pair is formed by 2 angles that are both adjacent and supplementary.

D

O R

I

Is congruent to

Angle D ____________ angle R.

List all pairs of:

7 & 6 3 & 2

2 3 45

1678

jk

D C

BA

SSI angles

List all pairs of:

1 & 7, 8 & 2, 6 & 4, 5 & 3

2 3 45

1678

jk

D C

BA

vertical angles

D

O R

I

Segment IR

Segment DO is congruent to __________.