adjacent vertical complementary supplementary linear pair angles that share a side 2 angles whose...

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

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Page 1: Adjacent Vertical Complementary Supplementary Linear Pair Angles that share a side 2 angles whose sum is 180° Opposite angles made by two intersecting

Adjacent Vertical

Complementary

Supplementary Linear Pair

Angles that share a side

2 angles whose sum is 180°

Opposite angles made by two

intersecting lines

2 angles whose sum 90°

2 angles that form a line.

CongruentAngles with the same

measure.

Line & Angle Recognition

Page 2: Adjacent Vertical Complementary Supplementary Linear Pair Angles that share a side 2 angles whose sum is 180° Opposite angles made by two intersecting

ANGLE PAIR CARDS

Angles are

a = b

Angles add upto 90°

a + b = 90

Angles add upto 180 °

a + b = 180

Page 3: Adjacent Vertical Complementary Supplementary Linear Pair Angles that share a side 2 angles whose sum is 180° Opposite angles made by two intersecting

How do we set up these equations?

Page 4: Adjacent Vertical Complementary Supplementary Linear Pair Angles that share a side 2 angles whose sum is 180° Opposite angles made by two intersecting

The sum of the angles in a triangle

is 180.

a + b + c = 180

The sum of the Remote Interior

Angles equal the

measure of theExterior Angle.

a + b = d

Triangle Angles#2

Page 5: Adjacent Vertical Complementary Supplementary Linear Pair Angles that share a side 2 angles whose sum is 180° Opposite angles made by two intersecting

LETS TRY SOME PROBLEMS

Page 6: Adjacent Vertical Complementary Supplementary Linear Pair Angles that share a side 2 angles whose sum is 180° Opposite angles made by two intersecting

LETS TRY SOME PROBLEMS

Page 7: Adjacent Vertical Complementary Supplementary Linear Pair Angles that share a side 2 angles whose sum is 180° Opposite angles made by two intersecting

How do we set up these equations?

Page 8: Adjacent Vertical Complementary Supplementary Linear Pair Angles that share a side 2 angles whose sum is 180° Opposite angles made by two intersecting

?

Transveral

n

m

n is parallel to m

A line that intersects two or

more lines.

HOT LAVAThink 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.

We have Angle Pairs with specific names.There are 8 angles made with this Transversal.

CorrespondingAngles

CorrespondingAngles

CorrespondingAngles

CorrespondingAngles

CorrespondingAngles

CorrespondingAngles

CorrespondingAngles

CorrespondingAngles

Corresponding Angles are in the samespot when you slide up/down the Transversal.

Alternate InteriorAngles

Alternate InteriorAngles

Alternate InteriorAngles

Alternate InteriorAngles

Alternate Interior Angles are between the parallel linesand on Opposite Sides of the TransversalAlternate Exterior Angles are outside the

Parallel lines and on Opposite Sides of the Transversal

Alternate ExteriorAngles

Alternate ExteriorAngles

Alternate ExteriorAngles

Alternate ExteriorAngles

Same-SideInterior Angles

Same-SideInterior Angles

Same-SideInterior Angles

Same-SideInterior Angles

Same-Side Interior Angles are between the parallel lines

and on the SAME SIDE of the Transversal

Same-Side Exterior Angles are outside the Parallel lines and on the SAME SIDE of the Transversal

Same-SideExterior Angles

Same-SideExterior Angles

Same-SideExterior Angles

Same-SideExterior Angles

Interior

Exterior

Exterior

#4 Parallel Lines & Transversals

Page 9: Adjacent Vertical Complementary Supplementary Linear Pair Angles that share a side 2 angles whose sum is 180° Opposite angles made by two intersecting

ANGLE PAIR CARDS

a = b a + b = 180

Angles are Angles are

a = b

Angles are

a = b

Angles are

a + b = 180

Angles are

Page 10: Adjacent Vertical Complementary Supplementary Linear Pair Angles that share a side 2 angles whose sum is 180° Opposite angles made by two intersecting

LETS TRY SOME PROBLEMS3 ANSWERS EACH.

Name the angle relationship, indicate if they are congruent or supplementary AND then find the measure of each angle indicated.

Page 11: Adjacent Vertical Complementary Supplementary Linear Pair Angles that share a side 2 angles whose sum is 180° Opposite angles made by two intersecting

How do we set up these equations?

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