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...
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Transcript of 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 __________.