Proving the Midsegment of a Triangle Adapted from Walch Education.
6-6 Notes and answers Reg Geo.notebookimages.pcmac.org/SiSFiles/Schools/AL/MadisonCity/...October...
Transcript of 6-6 Notes and answers Reg Geo.notebookimages.pcmac.org/SiSFiles/Schools/AL/MadisonCity/...October...
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Use properties of kites to solve problems.
Use properties of trapezoids to solve problems.
Objectives
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A kite is a quadrilateral with exactly two pairs of congruent consecutive sides.
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Example 2A: Using Properties of Kites
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Example 2B: Using Properties of Kites
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Example 2C: Using Properties of Kites
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Check It Out! Example 2a
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Check It Out! Example 2b
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Check It Out! Example 2c
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A trapezoid is a quadrilateral with exactly one pair of parallel sides. Each of the parallel sides is called a base. The nonparallel sides are called legs. Base angles of a trapezoid are two consecutive angles whose common side is a base.
If the legs of a trapezoid are congruent, the trapezoid is an isosceles trapezoid. The following theorems state the
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Example 3A: Using Properties of Isosceles Trapezoids
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Example 3B: Using Properties of Isosceles Trapezoids
KB = 21.9 and MF = 32.7. Find FB.
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Check It Out! Example 3a
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Check It Out! Example 3b JN = 10.6, and NL = 14.8. Find KM.
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Example 4B: Applying Conditions for Isosceles Trapezoids
AD = 12x – 11, and BC = 9x – 2. Find the value of x so that ABCD is isosceles.
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The midsegment of a trapezoid is the segment whose endpoints are the midpoints of the legs. In Lesson 51, you studied the Triangle Midsegment Theorem. The Trapezoid Midsegment Theorem is similar to it.
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Example 5: Finding Lengths Using Midsegments
Find EF.
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Check It Out! Example 5
Find EH.
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Assignment(p. 444) 412, 1418, 2022, 28, 30, 32, 34, 35