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Section 5.1 Midsegment Theorem and Coordinate Proof
Homework Pg 298 #3-11, 36 (prove 36)
Vocabulary Midsegment of a triangle – is a segment that connects the midpoints of two sides of a triangle. Coordinate Proof – placing geometric figures in a coordinate grid, then using variables to represent coordinates.
Theorem 5.1: Midsegment Theorem
Apply variable coordinates Place an isosceles right triangle in a coordinate plane. Then find the length of the hypotenuse and the coordinates of its midpoint M.
Prove the Midsegment Theorem GIVEN : DE is a midsegment of OBC. PROVE : DE OC and DE = OC 1 2 Write a coordinate proof of the Midsegment Theorem for one midsegment.
5.1 Midsegment Theorem & Coordinate Proof
11/10/14 Geometry Bellwork. Formulas to Remember.
For the following problems, use A(0,10), B(24,0), C(0,0) Find AB Find the midpoint of CA Find the midpoint of AB Find the slope of AB.
EXAMPLE 4 Apply variable coordinates SOLUTION Place PQO with the right angle at the origin. Let the length of the legs be k. Then the vertices are located.
EXAMPLE 4 Apply variable coordinates
Proving the Midsegment of a Triangle Adapted from Walch Education.
4.7 Triangles and Coordinate Proof
6.4 The Triangle Midsegment Theorem
Triangle Sum Properties & Inequalities in a Triangle Sections 4.1, 5.1, & 5.5.
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Bell Problem Simplify the expression..
5.11 Use Properties of Trapezoids and Kites. Vocabulary Trapezoid – a quadrilateral with exactly one pair of parallel sides. Base Base Angle Leg.
5.1 – Midsegment Theorem and Coordinate Proof
Warm-up Write the following formulas 1.Distance 2.Midpoint What is the Pythagorean Theorem?
5.1.1 Midsegment Theorem and Coordinate Proof SWBAT: Define and use mid-segment of a triangle and mid-segment theorem to solve problems. You will accomplish.
5-4 Midsegment Theorem Identify the Midsegment of a triangle
Midsegment of a Triangle and Proportionality in Triangles.
Section : Kites and Figures in the Coordinate Plane March 19, 2012 (1B, 2B) March 20, 2012 (4B)
Pythagorean Theorem Converse Special Triangles. Pythagorean Theorem What do you remember? Right Triangles Hypotenuse – longest side Legs – two shorter.
Use Similar Right Triangles
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