Name:
Date:
Geometry Period
7-1 Practice
Part 1: Identify Properties
*Note: Starting tomorrow in class you will be taking property quizzes, You will be provided a specific quadrilateral and
will be quizzed on how well you know it's properties.
1) What quadrilateral has only one set of parallel sides?
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2) Which quadrilateral(s) has all 4 sides congruent?
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3) What quadrilateral(s) has diagonals which are congruent and bisect each other?
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4) What must a quadrilateral be if it has one set of sides both parallel and congruent?
) What quadrilateral has diagonals that are congruent, but have different midpoints?
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Frank says all rhombuses are parallelograms. Is this true?
Fiorella says all trapezoids are isosceles trapezoids. Do you agree? No-t-
anuel says that a rectangle is a square, always. Is he correct? NO
at quadrilateral has opposite sides with equal slopes and adjacent sides with opposite reciprocal slopes?
ink about what the relationship is with the e slope relationships)
QUICK! Go check your answers with the key before you continue on!
Part 2: Applying the Properties
Answer ALL parts of each question to complete.
1. In the accompanying diagram of parallelogram ABCD, diagonals AC and BD intersect at E, BE = 3x,
and ED = x+10.
c
a) What is the value of x?
b) State the property of a parallelogram that you used to answer this question. (use your property sheet)
2) As shown in the diagram of rectangle ABCD below, diagonals AC and BD intersect at E.
Æ=x+2
BD=4x-16
c
a) Solve for the length of AC
zx+t
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your property sheet)
b) State the property/properties of a rectangle that you used to answer this question. (use
3) In the diagram below
of rhombus ABCD,
a) What do you know
about
6C
the relationshipbetween
CD
b) Mark the relationship
you stated
c)
tnZC= 100.
BC and CD? Why?
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in a) into the diagram.
1000
c
What type of triangle is ADBC
(classify by sides)?
100
d) Whatis tnZDBC?
4) In the diagram below of isoscelestrapezoid
DEFG,DE Il GF, DE—
-4x-2, EF=3x+2,
(Hint: There may be too much information)!
51-3, andGD=21+5.
a) Find the value of x.
4x-2 E
2X+5
G
5x-3
F
i) State the property/properties of an isosceles trapezoid that you used to answer this question. (use your
property sheet)
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5) In the diagram below, AB and CD are bases of trapezoid
ABCD.
a) IfmZB= 123andtnZD= 75,whatismZC?
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x
(Not drawn to
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b) State the property of a trapezoid that you used to answer this question. (use your property sheet)
S ides
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the diagonal of the
i) The perimeter of a square is 24. In simplest radical form, find the length of
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State the property/properties of an isosceles trapezoid
property sheet)
square.
that you used to answe
IS question. (use your
Part 3: Name that quad! What is MATH?
Examine the coordinates of the following quadrilateral and decide what type of quadrilateral is it and EXPLAIN how
you arrived at your answer, Use of the grid is optional.
(hint: start by solving the slopes of all 4 sides)
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Front
e
properties: Example
flashcards on your quad
Parallelogram (4)
Back
1)
2 sets of oppositesides
are
parallel
are
sides
2setsofopposite
3)
4)
congruent
Diagonalsbisect each other
are
One pair of opposite sides
congruent
parallel