Geometry Study Guide for Ch 6 Test
VOCABULARY
This will be matching on the test.
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A _____ is a quadrilateral with 2 pair of parallel sides.
A _____ is a quadrilateral with 1 pair of parallel sides
A _____ is a rectangle with 4 congruent sides.
A _____ is a parallelogram with 4 right angles.
A ______ is a quadrilateral with 2 pair of consecutive congruent sides.
A _____ is a parallelogram with 4 congruent sides.
PROPERTIES
This will be fill in the blank on the test.
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For a rectangle, the _____ are congruent.
For a rhombus, the diagonals are _____.
For a parallelogram, ______ ______ are congruent.
For a parallelogram, _____ ______ are suppelementary.
For a rhombus, the diagonals _____ the ______ ______.
TRUE/FALSE
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A square is a rectangle.
A rectangle is a square.
A square is a rhombus.
A rhombus is a square.
A kite is a quadrilateral.
A trapezoid is a parallelogram.
A rectangle is a parallelogram.
PROBLEMS
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Find the sum of the interior angles for a heptagon.
Find the measure of each interior angle for a regular hexagon.
Find the measure of each exterior angle for a regular decagon.
Find the value of a below.
12. What is the measure of Angle L?
13. WXYZ is a rectangle. Find the value of x.
14. If ABCD is a parallelogram, what is the measure of AE?
15. ABCD is a rectangle. AD  15, AC  25, and DC  20. Find BD.
16. RSTU is a rhombus. The measure of SRU is 112 degrees. What is the measure of Angle TRU?
17. If the figure below is a trapezoid, what is the measure of Angle A?
18. Find the measure of XY.
19. In kite JKLM, mLMN  25, and mLKN  43. Find mMLK.
20. If the figure below is a rhombus, what is the measure of Angle QRP?
ANSWERS TO THE STUDY GUIDE:
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Parallelogram
Trapezoid
Square
Rectangle
Kite
Rhombus
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Diagonals
Perpendicular
Opposite sides (or angles)
Consecutive angles
Bisect, opposite angles
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True
False
True
False
True
False
True
Problems
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900 degrees
120 degrees
36 degrees (360 divided by 10)
A = 30
X = 8 so Angle L = 115 degrees
X = 6 (remember diagonals are congruent)
Y = 2 (diagonals bisect each other) so AE = 12
BD is the same as AC, so BD = 25. (the diagonals are congruent)
56 degrees (112 divided by 2, the diagonals bisect the angles)
The measure of Angle D is 104 degrees, b/c Angles C and D are consecutive interior angles and
are supplementary (180 – 76). Angle A is the same as Angle D, b/c base angles of an isosceles
trapezoid are congruent. So Angle A is 104 degrees.
18. 72 [(47 + 97)/2]
19. 112 degrees (use the triangle sum theorem, add 25 and 43 then subtract from 180)
20. 51 degrees (use the triangle sum theorem and defn of a rhombus, 180 – 78, then divide that by
2)