Homework Due Friday Maintenance Sheet 6 19 Goformative

q. Acute - Jumping Jacks q. Obtuse – Snap, Dab q. Right – make

I CAN USE THE ANGLE AND SIDE MEASURES TO HELP ME CREATE AND CLASSIFY

q. Equilateral - Jumping Jacks qisosceles – Snap, Dab qscalene – make a x

I CAN USE THE ANGLE AND SIDE MEASURES TO HELP ME CREATE AND 3.

1. What are some examples of geometric shapes? E L G N A E

TRIANGLE INEQUALITY THEOREM: Can you make a triangle? Yes! 15 I can use the

CAN YOU MAKE A TRIANGLE? • 5 IN, 2 IN, AND 7 IN 16

CAN YOU MAKE A TRIANGLE? 7 IN, 4 IN, AND 2 IN 17

CAN YOU MAKE A TRIANGLE? 3 IN, 4 IN, AND 6 IN 18

TRIANGLE INEQUALITY THEOREM: Can you make a triangle? NO because 4 + 5 <

TRIANGLE INEQUALITY THEOREM: The sum of the lengths of any two sides of a

FINDING THE RANGE OF THE THIRD SIDE: Example Given a triangle with sides of

FINDING THE RANGE OF THE THIRD SIDE: Given The lengths of two sides of

In a Triangle: 4 The smallest angle is opposite the smallest side. 4 The

Theorem • If one angle of a triangle is larger than a second angle,

Theorem • If one side of a triangle is larger than a second side,

COROLLARY #1: The perpendicular segment from a point to a line is the shortest

COROLLARY #2: The perpendicular segment from a point to a plane is the shortest

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Homework Due Friday. Maintenance Sheet 6. 19 Goformative. com Study Daily-

q. Acute - Jumping Jacks q. Obtuse – Snap, Dab q. Right – make an L with your arms I CAN USE THE ANGLE AND SIDE MEASURES TO HELP ME CREATE AND CLASSIFY TRIANGLES.

I CAN USE THE ANGLE AND SIDE MEASURES TO HELP ME CREATE AND CLASSIFY TRIANGLES.

q. Acute - Jumping Jacks q. Obtuse – Snap, Dab q. Right – make an L with your arms I CAN USE THE ANGLE AND SIDE MEASURES TO HELP ME CREATE AND CLASSIFY TRIANGLES.

q. Equilateral - Jumping Jacks qisosceles – Snap, Dab qscalene – make a x I CAN USE THE ANGLE AND SIDE MEASURES TO HELP ME CREATE AND CLASSIFY TRIANGLES.

I CAN USE THE ANGLE AND SIDE MEASURES TO HELP ME CREATE AND 3. CLASSIFY Name 2 TRIANGLES. tools you need to construct a geometric shape? 3. What does a ruler measure? What does a protractor measure?

I can use the angle and side measures to help me create and classify triangles.

1. What are some examples of geometric shapes? E L G N A E H O T T E S S E U UR S A I CAN E D EM N D I A S TE A E AND R. C S E E L M HELP FY TRIANG I S S A CL 2. Name different types of triangles.

I can use the angle and side measures to help me create and classify triangles. 14

TRIANGLE INEQUALITY THEOREM: Can you make a triangle? Yes! 15 I can use the angle and side measures to help me create and classify triangles.

CAN YOU MAKE A TRIANGLE? • 5 IN, 2 IN, AND 7 IN 16

CAN YOU MAKE A TRIANGLE? 7 IN, 4 IN, AND 2 IN 17

CAN YOU MAKE A TRIANGLE? 3 IN, 4 IN, AND 6 IN 18

TRIANGLE INEQUALITY THEOREM: Can you make a triangle? NO because 4 + 5 < 12 19

TRIANGLE INEQUALITY THEOREM: The sum of the lengths of any two sides of a triangle is greater than the length of the third side. video a+b>c a+c>b b+c>a 20

FINDING THE RANGE OF THE THIRD SIDE: Example Given a triangle with sides of length 3 and 7, find the range of possible values for the third side. Solution Let x be the length of the third side of the triangle. The maximum value: x < 3 + 7 = 10 The minimum value: x>7– 3=4 So 4 < x < 10 (x is between 4 and 10. ) x < 10 x>4 21

FINDING THE RANGE OF THE THIRD SIDE: Given The lengths of two sides of a triangle Since third side cannot be larger than the other two added together, we find the maximum value by adding the two sides. Since third side and the smallest side given cannot be larger than the other side, we find the minimum value by subtracting the two sides. Difference < Third Side < Sum 22

FINDING THE RANGE OF THE THIRD SIDE: Example Given a triangle with sides of length a and b, find the range of possible values for the third side. Solution Let x be the length of the third side of the triangle. The maximum value: x<a+b The minimum value: x > |a – b|< x < a + b (x is between |a – b| and a + b. ) x<a+b x > |a – b| So 23

In a Triangle: 4 The smallest angle is opposite the smallest side. 4 The largest angle is opposite the largest side. 4 The smallest side is opposite the smallest angle. 4 The largest side is opposite the largest angle. 24

Theorem • If one angle of a triangle is larger than a second angle, then the side opposite the first angle is larger than the side opposite the second angle. larger angle B shorter side C longer side smaller angle. A 25

Theorem • If one side of a triangle is larger than a second side, then the angle opposite the first side is larger than the angle opposite the second side. 26

COROLLARY #1: The perpendicular segment from a point to a line is the shortest segment from the point to the line. This side is longer because it is opposite the largest angle! This is the shortest segment! 27

COROLLARY #2: The perpendicular segment from a point to a plane is the shortest segment from the point to the plane. This side is longer because it is opposite the largest angle! This is the shortest segment! 28