Geometry

Chapter 6

TEST

1. Calculate the total interior degrees in a hexagon.

2. Calculate the total exterior degrees of a dodecagon?

Find the value of the variables in the following: (remember to check your work… it only takes a second and makes the difference between no credit and full credit) PLEASE circle your answers.

Find the values of the variables in each parallelogram or trapezoid, and then find the missing measures. Show your work and check your answers. PLEASE circle your answers.

8.9.

10. 11. 12.

Can you prove that the quadrilateral is a parallelogram based on the given information? Explain.

15.16.17.

18.19. 20.

21. 22. 23.

Classify the quadrilateral, and then find the values of the variables. Mathletes check their answers. Are you a mathlete?

Find the lengths of the segments with variable expressions.

28. 29.

Find the value(s) of the variable(s) in each kite.

30. 31.

32.33.

Determine whether each statement is true or false. If true, explain your reasoning. If false, provide a counterexample.

34.The diagonals of a rectangle always form four congruent triangles.

35.Ifthediagonalsofaquadrilateralareperpendicular,thenthequadrilateral must be a kite.

36. Compare and Contrast Explain in what ways a rectangle is similar to anddifferent from a kite.

37. If Tahj talks to you about a regular hexagon, what exactly does he mean?

38. What is the difference between concave and convex polygons?

Chapter 6
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Vocabulary Matching
1 / ______/ a polygon that has at least one reflex angle / A / consecutive
2 / ______/ angles that have the same measure / B / diagonal
3 / ______/ segments that have the same measure / C / opposite sides
4 / ______/ in a row; one after the other / D / opposite angles
5 / ______/ a polygon whose angles are less than 180 degrees / E / congruent angles
6 / ______/ a segment from vertex to vertex that is not a side / F / congruent segments
7 / ______/ the square root of the sum of the difference of x values squared and the difference of y values squared / G / parallelogram
8 / ______/ a polygon whose angles are all the same measure / H / transversal
9 / ______/ a polygon whose sides all have the same measure / I / concave
10 / ______/ an angle outside of a polygon / J / convex
11 / ______/ an angle inside a polygon / K / equilateral polygon
12 / ______/ a quadrilateral whose consecutive sides are congruent / L / exterior angle
13 / ______/ add up x's and divide by 2; add up y's and divide by 2 / M / equiangular polygon
14 / ______/ angles in a quadrilateral that are no consecutive / N / interior angle
15 / ______/ sides in a quadrilateral that are not consecutive / O / regular polygon
16 / ______/ a quadrilateral with two pair of congruent parallel sides / P / rhombus
17 / ______/ a parallelogram with right angles / Q / rectangle
18 / ______/ a polygon that is both equilateral and equiangular / R / square
19 / ______/ a parallelogram whose sides all have the same measure / S / trapezoid
20 / ______/ difference in y values divided by the difference in x values / T / kite
21 / ______/ a regular parallelogram / U / trapezium
22 / ______/ a line that intersects two or more lines / V / midpoint formula
23 / ______/ a quadrilateral without any parallel sides / W / slope formula
24 / ______/ a quadrilateral with exactly one pair of parallel sides / X / distance formula