Unit 6 Polygons

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Nyrkvnan08

Mathematics

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Assignment attached below. please show work. While doing the assignment make sure that you clearly show all your work and do your best to explain your answers. You will be graded on how well you show your understanding of the concepts as well as correct answers.

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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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