1. Line & Angle Recognition
Adjacent
Vertical
Opposite angles
made by two
intersecting lines
Angles that share a side
Congruent
Complementary
Angles with the same
measure.
2 angles whose sum 90°
Supplementary
Linear Pair
2 angles whose sum is 180°
2 angles that form a line.

2. ANGLE PAIR CARDS a = b a + b = 90 a + b = 180 Angles add up to 180 °
Angles are ≅
Angles add up
to 90°
a = b
a + b = 90
a + b = 180

3. How do we set up these equations?

4. Triangle Angles #2 a + b = d a + b + c = 180 The sum of the
angles in a triangle
is 180.
The sum of the
Remote Interior
Angles equal the
measure of the
Exterior Angle.
a + b + c = 180
a + b = d

5. LETS TRY SOME PROBLEMS

6. LETS TRY SOME PROBLEMS

7. How do we set up these equations?

8. HOT LAVA Parallel Lines & Transversals #4 Transveral n m ? Exterior
A line that intersects two or
more lines.
n is parallel to m
Exterior
Alternate Exterior
Angles
Same-Side
Exterior Angles
Corresponding
Angles
Same-Side
Exterior Angles
Corresponding
Angles
Alternate Exterior
Angles n
Alternate Interior
Angles
Same-Side
Interior Angles
Corresponding
Angles
Corresponding
Angles
Same-Side
Interior Angles
Alternate Interior
Angles
HOT LAVA
Think of the space between the two parallel lines as a river of Hot Lava and the Transversal as a bridge to cross safely to the other side.
Interior
Alternate Interior
Angles
Same-Side
Interior Angles
Corresponding
Angles
Alternate Interior
Angles
Corresponding
Angles
Same-Side
Interior Angles m
Alternate Exterior
Angles
Same-Side
Exterior Angles
Corresponding
Angles
Same-Side
Exterior Angles
Corresponding
Angles
Alternate Exterior
Angles
Exterior
Same-Side Exterior Angles are outside the Parallel
lines and on the SAME SIDE of the Transversal
Corresponding Angles are in the same
spot when you slide up/down the Transversal.
Same-Side Interior Angles are between the parallel lines
and on the SAME SIDE of the Transversal
Alternate Interior Angles are between the parallel lines
and on Opposite Sides of the Transversal
Alternate Exterior Angles are outside the
Parallel lines and on Opposite Sides of the Transversal
There are 8 angles made with this Transversal.
We have Angle Pairs with specific names.

9. ANGLE PAIR CARDS a = b a = b a = b a + b = 180 a + b = 180
Angles are ≅
Angles are
Angles are
Angles are ≅
Angles are ≅
a = b
a = b
a = b
a + b = 180
a + b = 180

10. LETS TRY SOME PROBLEMS 3 ANSWERS EACH.
Name the angle relationship, indicate if they are congruent or supplementary AND then find the measure of each angle indicated.

11. How do we set up these equations?