Unit 6 Polygons

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Nyrkvnan08

Mathematics

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A Task 1 ABCDEFis a regular hexagon. What is the most precise dassification of quadrilateral GBHE? How do you know? What are the interior angle measures of GBHE? F B H E E D Task 2 JKLM is a parallelogram. If you extend each side by a distance x, what kind of quadrilateral is PQRS? How do you know? х х (м К. X L Х S R BIG idea Coordinate Geometry and Reasoning and Proof You can use coordinates and certain relationships between pairs of corresponding parts to prove triangles congruent in the coordinate plane. Task 3 What are two methods for proving the two triangles А congruent? Use one of your methods along with coordinate geometry to prove that the two triangles E are congruent. -4 -20 411 C D B х -2 F
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Formulas, equations and theorem used.
1. Sum of all angles in a quadrilateral = 3600
2. Sum of internal angle of a polygon =

180 (n−2)
𝑛

,

𝑤ℎ𝑒𝑟𝑒 𝑛 𝑖𝑠 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑠𝑖𝑑𝑒𝑠
3. SSS Theorem (Side-Side-Side): If three pairs of sides of two
triangles are equal in length, then the triangles are said to be
congruent.
4. AAS Theorem (Angle-Angle-Side): If two pairs of angles of two
triangles are equal in measurement, and a pair of corresponding nonincluded sides are equal in length, then the triangles are said to be
congruent.
5. Length of a line PQ defined by coordinates P (x1, y1) and Q (x2, y2) is
given by;
Length = √{ (𝑥2 − 𝑥1 )2 + (𝑦2 �...

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