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Introduction to Geometry – Complimentary / Supplementary Angles Angle Addition Postulate – If D is a point interior to angle ABC, then AD BC

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Introduction to Geometry – Complimentary / Supplementary Angles Angle Addition Postulate – If D is a point interior to angle ABC, then AD BC A 50° 75° In this example :

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Introduction to Geometry – Complimentary / Supplementary Angles Angle Addition Postulate – If D is a point interior to angle ABC, then AD BC A 50° 75° In this example : A straight angle is formed by two rays going away from each other. It measures 180°. 180° BC

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Introduction to Geometry – Complimentary / Supplementary Angles Angle Addition Postulate – If D is a point interior to angle ABC, then AD BC A 50° 75° In this example : A straight angle is formed by two rays going away from each other. It measures 180°. Draw a third ray and you have a linear pair. This linear pair forms a straight line, they are supplementary angles and add up to 180°. BAC D

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Introduction to Geometry – Complimentary / Supplementary Angles Supplementary Angles – formed by a linear pair and add up to 180°

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Introduction to Geometry – Complimentary / Supplementary Angles Supplementary Angles – formed by a linear pair and add up to 180° EXAMPLE : Let’s fill in the table with the missing supplementary angle. Angle 1Angle 2 60° These pairs should all add up to 180°

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Introduction to Geometry – Complimentary / Supplementary Angles Supplementary Angles – formed by a linear pair and add up to 180° EXAMPLE : Let’s fill in the table with the missing supplementary angle. Angle 1Angle 2 60°120 ° These pairs should all add up to 180°

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Introduction to Geometry – Complimentary / Supplementary Angles Supplementary Angles – formed by a linear pair and add up to 180° EXAMPLE : Let’s fill in the table with the missing supplementary angle. Angle 1Angle 2 60°120° 155° These pairs should all add up to 180°

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Introduction to Geometry – Complimentary / Supplementary Angles Supplementary Angles – formed by a linear pair and add up to 180° EXAMPLE : Let’s fill in the table with the missing supplementary angle. Angle 1Angle 2 60°120° 155°25° These pairs should all add up to 180°

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Introduction to Geometry – Complimentary / Supplementary Angles Supplementary Angles – formed by a linear pair and add up to 180° EXAMPLE : Let’s fill in the table with the missing supplementary angle. Angle 1Angle 2 60°120° 155°25° 42° * 174° * 76° * These pairs should all add up to 180° See if you can get the last three on your own before moving to the next page…

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Introduction to Geometry – Complimentary / Supplementary Angles Supplementary Angles – formed by a linear pair and add up to 180° EXAMPLE : Let’s fill in the table with the missing supplementary angle. Angle 1Angle 2 60°120° 155°25° 42°138° 174°6°6° 76°104° These pairs should all add up to 180° See if you can get the last three on your own before moving to the next page…

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Introduction to Geometry – Complimentary / Supplementary Angles Complementary Angles – two angles that form a right angle and add up to 90° 40° 50°

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Introduction to Geometry – Complimentary / Supplementary Angles Complementary Angles – two angles that form a right angle and add up to 90° EXAMPLE : Let’s fill in the table with the missing complementary angle. Angle 1Angle 2 60° These pairs should all add up to 90°

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Introduction to Geometry – Complimentary / Supplementary Angles Complementary Angles – two angles that form a right angle and add up to 90° EXAMPLE : Let’s fill in the table with the missing complementary angle. Angle 1Angle 2 60°30° These pairs should all add up to 90°

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Introduction to Geometry – Complimentary / Supplementary Angles Complementary Angles – two angles that form a right angle and add up to 90° EXAMPLE : Let’s fill in the table with the missing complementary angle. Angle 1Angle 2 60°30° 45° These pairs should all add up to 90°

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Introduction to Geometry – Complimentary / Supplementary Angles Complementary Angles – two angles that form a right angle and add up to 90° EXAMPLE : Let’s fill in the table with the missing complementary angle. Angle 1Angle 2 60°30° 45° These pairs should all add up to 90°

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Introduction to Geometry – Complimentary / Supplementary Angles Complementary Angles – two angles that form a right angle and add up to 90° EXAMPLE : Let’s fill in the table with the missing complementary angle. Angle 1Angle 2 60°30° 45° 27° * 79° * 16° * These pairs should all add up to 90° See if you can get the last three on your own before moving to the next page…

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Introduction to Geometry – Complimentary / Supplementary Angles Complementary Angles – two angles that form a right angle and add up to 90° EXAMPLE : Let’s fill in the table with the missing complementary angle. Angle 1Angle 2 60°30° 45° 27°63° 79°11° 16°74° These pairs should all add up to 90° See if you can get the last three on your own before moving to the next page…

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Introduction to Geometry – Complimentary / Supplementary Angles Vertical Angles – angles formed by two intersecting lines A E D CB

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Introduction to Geometry – Complimentary / Supplementary Angles Vertical Angles – angles formed by two intersecting lines and on the opposite side A E D CB

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Introduction to Geometry – Complimentary / Supplementary Angles Vertical Angles – angles formed by two intersecting lines and on the opposite side A E D CB

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Introduction to Geometry – Complimentary / Supplementary Angles Vertical Angles – angles formed by two intersecting lines and on the opposite side A E D CB Vertical angles are also congruent

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Introduction to Geometry – Complimentary / Supplementary Angles Vertical Angles – angles formed by two intersecting lines A E D CB F Given angleVertical angle Find the partner for the given angle to make a vertical angle pair. Q

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Introduction to Geometry – Complimentary / Supplementary Angles Vertical Angles – angles formed by two intersecting lines A E D CB F Given angleVertical angle ∟BQA? Find the partner for the given angle to make a vertical angle pair. Q

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Introduction to Geometry – Complimentary / Supplementary Angles Vertical Angles – angles formed by two intersecting lines A E D CB F Given angleVertical angle ∟BQA∟CQD Find the partner for the given angle to make a vertical angle pair. Q

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Introduction to Geometry – Complimentary / Supplementary Angles Vertical Angles – angles formed by two intersecting lines A E D CB F Given angleVertical angle ∟BQA∟CQD ∟FQC Find the partner for the given angle to make a vertical angle pair. Q

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Introduction to Geometry – Complimentary / Supplementary Angles Vertical Angles – angles formed by two intersecting lines A E D CB F Given angleVertical angle ∟BQA∟CQD ∟FQC∟AQE Find the partner for the given angle to make a vertical angle pair. Q

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Introduction to Geometry – Complimentary / Supplementary Angles Vertical Angles – angles formed by two intersecting lines A E D CB F Given angleVertical angle ∟BQA∟CQD ∟FQC∟AQE ∟FQD Find the partner for the given angle to make a vertical angle pair. Q

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Introduction to Geometry – Complimentary / Supplementary Angles Vertical Angles – angles formed by two intersecting lines A E D CB F Given angleVertical angle ∟BQA∟CQD ∟FQC∟AQE ∟FQD∟BQE Find the partner for the given angle to make a vertical angle pair. Q

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Introduction to Geometry – Complimentary / Supplementary Angles Vertical Angles – angles formed by two intersecting lines A E D CB F Given angleVertical angle ∟BQA = 50°∟CQD = ? ∟FQC∟AQE ∟FQD∟BQE Complete the table with the missing measurement. Q 50°

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Introduction to Geometry – Complimentary / Supplementary Angles Vertical Angles – angles formed by two intersecting lines A E D CB F Given angleVertical angle ∟BQA = 50°∟CQD = 50° ∟FQC∟AQE ∟FQD∟BQE Q 50° Complete the table with the missing measurement.

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Introduction to Geometry – Complimentary / Supplementary Angles Vertical Angles – angles formed by two intersecting lines A E D CB F Given angleVertical angle ∟BQA = 50°∟CQD = 50° ∟FQC = 38°∟AQE = ? ∟FQD∟BQE Q 38° Complete the table with the missing measurement.

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Introduction to Geometry – Complimentary / Supplementary Angles Vertical Angles – angles formed by two intersecting lines A E D CB F Given angleVertical angle ∟BQA = 50°∟CQD = 50° ∟FQC = 38°∟AQE = 38° ∟FQD∟BQE Q 38° Complete the table with the missing measurement.

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Introduction to Geometry – Complimentary / Supplementary Angles Vertical Angles – angles formed by two intersecting lines A E D CB F Given angleVertical angle ∟BQA = 50°∟CQD = 50° ∟FQC = 38°∟AQE = 38° ∟FQD = 136°∟BQF = ? Q 136° Complete the table with the missing measurement.

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Introduction to Geometry – Complimentary / Supplementary Angles Vertical Angles – angles formed by two intersecting lines A E D CB F Given angleVertical angle ∟BQA = 50°∟CQD = 50° ∟FQC = 38°∟AQE = 38° ∟FQD = 136°∟BQF = 44° Q 136° Complete the table with the missing measurement. 44° Linear pair

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Warm up 1. Solve 8x + 16 =-30 2. Simplify the expression 9x + 2y, where x=-7 and y=0. 3. 8b + 3c – 4f, let b = -2, c= - 3 and f = 2 4. Find the midpoint.

Warm up 1. Solve 8x + 16 =-30 2. Simplify the expression 9x + 2y, where x=-7 and y=0. 3. 8b + 3c – 4f, let b = -2, c= - 3 and f = 2 4. Find the midpoint.

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