5 1 Midsegment Theorem and Coordinate Proof Geometry

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5. 1 Midsegment Theorem and Coordinate Proof Geometry Chapter 5

5. 1 Midsegment Theorem and Coordinate Proof Geometry Chapter 5

What is a midsegment?

What is a midsegment?

What is a midsegment? a segment whose endpoints are the midpoints of the sides

What is a midsegment? a segment whose endpoints are the midpoints of the sides of a triangle Segment DE is one of the midsegments of triangle ABC

Constructing a midsegment To construct a midsegment, find the midpoint of each side of

Constructing a midsegment To construct a midsegment, find the midpoint of each side of a triangle and then connect each midpoint with a line segment.

Midsegment Theorem What do you notice about the length of the midsegment compared to

Midsegment Theorem What do you notice about the length of the midsegment compared to the sides of the triangle? What do you notice about the orientation of the midsegment compared to the sides of the triangle?

Midsegment Theorem parallel to the third side half the length of the third side

Midsegment Theorem parallel to the third side half the length of the third side

Verifying the Midsegment Theorem Pick one of the sides to be the 3 rd

Verifying the Midsegment Theorem Pick one of the sides to be the 3 rd side Find the midpoints of the other two sides by using the midpoint formula. Determine the slope of the midsegment by using the slope formula Determine the slope of the third side by using the slope formula Determine the length of the midsegment by using the distance formula Determine the length of the 3 rd side by using the distance formula

Verification of the midsegment theorem Verify the midsegment theorem for the triangle that Has

Verification of the midsegment theorem Verify the midsegment theorem for the triangle that Has vertices of A(0, 0) B(4, 6) and C(8, 2).

Coordinate proof Place a figure in a coordinate plane Use variables to represent the

Coordinate proof Place a figure in a coordinate plane Use variables to represent the coordinates of a figure All figures that are the same type share the same results

Show the coordinates of the vertices of a rectangle

Show the coordinates of the vertices of a rectangle

Show the vertices of a scalene triangle

Show the vertices of a scalene triangle

Find the coordinates of the midpoint of the hypotenuse of a right isosceles triangle

Find the coordinates of the midpoint of the hypotenuse of a right isosceles triangle

5 1 Midsegment Theorem and Coordinate Proof Objectives5 1 Midsegment Theorem and Coordinate Proof Objectives
5 1 Midsegment Theorem and Coordinate Proof Hubarth5 1 Midsegment Theorem and Coordinate Proof Hubarth
Lesson 5 4 Prove Midsegment Theorem Use MidsegmentLesson 5 4 Prove Midsegment Theorem Use Midsegment
5 4 The Triangle Midsegment Theorem Vocabulary midsegment5 4 The Triangle Midsegment Theorem Vocabulary midsegment
Triangle Midsegment Theorem 6 4 A midsegment ofTriangle Midsegment Theorem 6 4 A midsegment of
5 4 Theorem The Triangle Midsegment Theorem 55 4 Theorem The Triangle Midsegment Theorem 5
5 4 Theorem The Triangle Midsegment Theorem 55 4 Theorem The Triangle Midsegment Theorem 5
5 4 Theorem The Triangle Midsegment Theorem 55 4 Theorem The Triangle Midsegment Theorem 5
5 4 Theorem The Triangle Midsegment Theorem 55 4 Theorem The Triangle Midsegment Theorem 5
5 4 Theorem The Triangle Midsegment Theorem 55 4 Theorem The Triangle Midsegment Theorem 5
5 4 Theorem The Triangle Midsegment Theorem 55 4 Theorem The Triangle Midsegment Theorem 5