Name_______________________ No.______
Geometry 5-1
1) Given this parallelogram, find x and y
Name_______________________ No.______
Geometry 5-2
1) What values must x and y have to make the
quadrilateral a parallelogram?
Name_______________________ No.______
Geometry 5-1
2) Given parallelogram ABCD with A  E .
Prove AB  CE
Name_______________________ No.______
Geometry 5-2
2) What values must x and y have to make the
quadrilateral a parallelogram?
Name_______________________ No.______
Geometry 5-1
3) The perimeter of parallelogram STOP is 54
cm, and ST is 1 cm longer than SP . Find ST
and SP
Name_______________________ No.______
Geometry 5-2
3) What values must x and y have to make the
quadrilateral a parallelogram?
Name_______________________ No.______
Geometry 5-2
1) What values must x and y have to make the
quadrilateral a parallelogram?
Name_______________________ No.______
Geometry 5-1
1) Given this parallelogram, find x and y
Name_______________________ No.______
Geometry 5-2
2) What values must x and y have to make the
quadrilateral a parallelogram?
Name_______________________ No.______
Geometry 5-1
2) Given parallelogram ABCD with A  E .
Prove AB  CE
Name_______________________ No.______
Geometry 5-2
3) What values must x and y have to make the
quadrilateral a parallelogram?
Name_______________________ No.______
Geometry 5-1
3) The perimeter of parallelogram STOP is 54
cm, and ST is 1 cm longer than SP . Find ST
and SP
Name_______________________ No.______
Geometry 5-3
1) Name all the points that must be midpoints of
the sides of the large triangle:
Name______________________ No.______
Geometry 5-4
1) In rectangle RSTU, the diagonals intersect at
point X. If RX  2 y  2 x and XT  3 y  1 and
US  28 , find the values of x
and y .
Name_______________________ No.______
Geometry 5-3
2) A segment joins the midpoints of two sides of
this triangle; find the values of x and y
Name_______________________ No.______
Geometry 5-4
2) The diagonals of a rhombus measure 6
inches and 8 inches; find the perimeter of the
rhombus
Name_______________________ No.______
Geometry 5-3
3) L, M , and N are the midpoints of the sides of
this triangle; find the perimeter of TKO and
quadrilateral TLMN
Name_______________________ No.______
Geometry 5-4
3) GM is a median of right triangle IRG. If
m1  32 , find m2, m3, and m4
Name______________________ No.______
Geometry 5-4
1) In rectangle RSTU, the diagonals intersect at
point X. If RX  2 y  2 x and XT  3 y  1 and
US  28 , find the values of x
and y .
Name_______________________ No.______
Geometry 5-3
1) Name all the points that must be midpoints
of the sides of the large triangle:
Name_______________________ No.______
Geometry 5-4
2) The diagonals of a rhombus measure 6
inches and 8 inches; find the perimeter of the
rhombus
Name_______________________ No.______
Geometry 5-3
2) A segment joins the midpoints of two sides
of this triangle; find the values of x and y
Name_______________________ No.______
Geometry 5-4
3) GM is a median of right triangle IRG. If
m1  32 , find m2, m3, and m4
Name_______________________ No.______
Geometry 5-3
3) L, M , and N are the midpoints of the sides of
this triangle; find the perimeter of TKO and
quadrilateral TLMN
Name_______________________ No.______
Geometry 5-5
1) Given IJ  JL  LG and IK  KM  MH .
Find x and y if JK  x  2 , LM  x  y , and
GH  2 y  5
Name_______________________ No.______
Geometry 5-Summary
1) List the four properties of a parallelogram:
a.
b.
c.
d.
2) List the five ways to prove a quadrilateral is a
parallelogram:
a.
b.
c.
d.
e.
Name_______________________ No.______
Geometry 5-5
2) Given isosceles trapezoid TRAP with median
MN , find x and y if mT  (2 y  80) , mR  6 y ,
TR  x , MN  32 , and PA  40
Name_______________________ No.______
Geometry 5-Summary
3) a.By definition, a rectangle is a quadrilateral with
___________________________. It is a
parallelogram and has this additional property:
______________________________. Diagram:
b.By definition, a rhombus is a quadrilateral with
___________________________. It is a
parallelogram and has these additional properties:
1. ___________________________, Diagram:
2. ___________________________.
c.By definition, a square is a quadrilateral with
___________________________. It is a
Diagram:
parallelogram, a rectangle, and a rhombus.
Name_______________________ No.______
Geometry 5-5
3) Prove the diagonals of an isosceles trapezoid
are congruent.
Name_______________________ No.______
Geometry 5-Summary
4)
a. If two lines are parallel, then all points on one line
are _________________ from the other line.
b. If three parallel lines cut off congruent segments on
one transversal, then __________________________
___________________________________________.
Diagram:
Name_______________________ No.______
Geometry 5-Summary
1) List the four properties of a parallelogram:
a.
b.
c.
d.
Name_______________________ No.______
Geometry 5-5
1) Given IJ  JL  LG and IK  KM  MH .
Find x and y if JK  x  2 , LM  x  y , and
GH  2 y  5
2) List the five ways to prove a quadrilateral is a
parallelogram:
a.
b.
c.
d.
e.
Name_______________________ No.______
Geometry 5-Summary
3) a.By definition, a rectangle is a quadrilateral with
___________________________. It is a parallelogram
and has this additional property:
______________________________. Diagram:
Name_______________________ No.______
Geometry 5-5
2) Given isosceles trapezoid TRAP with median
MN , find x and y if mT  (2 y  80) , mR  6 y ,
TR  x , MN  32 , and PA  40
b.By definition, a rhombus is a quadrilateral with
___________________________. It is a parallelogram
and has these additional properties:
1. ___________________________, Diagram:
2. ___________________________.
c.By definition, a square is a quadrilateral with
___________________________. It is a
Diagram:
parallelogram, a rectangle, and a rhombus.
Name_______________________ No.______
Geometry 5-Summary
4)
a. If two lines are parallel, then all points on one line
are _________________ from the other line.
b. If three parallel lines cut off congruent segments on
one transversal, then __________________________
___________________________________________.
Diagram:
Name_______________________ No.______
Geometry 5-5
3) Prove the diagonals of an isosceles
trapezoid are congruent.
Name_______________________ No.______
Geometry 5-Summary
5) a. A line that contains the midpoint of one side of
a triangle and is parallel to another side,
_________________________________________.
Diagram:
b. The segment that joins the midpoints of two sides
of a triangle (called the mid-segment) is
1. ___________________________ and
2. ___________________________
Diagram:
Name_______________________ No.______
Geometry 5-Summary
6) a. By definition, a trapezoid is a quadrilateral with
_______________________________________.
A trapezoid is NOT a parallelogram.
Diagram:
b. The median of a trapezoid is the segment that joins
the _______________ of the __________. The median
of a trapezoid has these properties:
1. ______________________________,
2. ______________________________.
Diagram:
c. An Isosceles trapezoid has congruent _________.
Base angles of an Isosceles trapezoid are ________.
Name_______________________ No.______
Geometry 5-Summary
7) a. The midpoint of the hypotenuse of a right
triangle is:
____________________________________.
Diagram:
b. By definition, a kite is a quadrilateral with
________________________________ but
________________________________. A kite is
NOT a parallelogram.
Diagram:
Name________________________ No.______
Algebra Review 5: Simplifying Radicals B
1) Simplify 2 72  5 98
Name_______________________
Name________________________
No.______
No.______
Geometry
5-Summary
Algebra Review
5: Simplifying Radicals A
5) a. A line that2contains the midpoint of one side of
1) Simplify
a triangle
and is parallel to another side,
5
_________________________________________.
Diagram:
b. The segment that joins the midpoints of two sides
of a triangle (called the mid-segment) is
1. ___________________________ and
2. ___________________________
Diagram:
Name_______________________ No.______
Geometry 5-Summary
6) a. By definition, a trapezoid is a quadrilateral
with
_______________________________________.
A trapezoid is NOT a parallelogram.
Diagram:
b. The median of a trapezoid is the segment that joins
the _______________ of the __________. The
median of a trapezoid has these properties:
1. ______________________________,
2. ______________________________.
Diagram:
c. An Isosceles trapezoid has congruent _________.
Base angles of an Isosceles trapezoid are ________.
Name_______________________ No.______
Geometry 5-Summary
7) a. The midpoint of the hypotenuse of a right
triangle is:
____________________________________.
Diagram:
b. By definition, a kite is a quadrilateral with
________________________________ but
________________________________. A kite is
NOT a parallelogram.
Diagram:
Name________________________ No.______
Algebra Review 5: Simplifying Radicals B
2) Simplify 20  2 18
Name________________________ No.______
Algebra Review 5: Simplifying Radicals A
Name________________________ No.______
Algebra Review 5: Simplifying Radicals B
3
3) Simplify
2 3
Name________________________ No.______
Algebra Review 5: Simplifying Radicals A
4
3) Simplify
3 5
Name________________________ No.______
Algebra Review 5: Simplifying Radicals A
2
1) Simplify
5
Name________________________ No.______
Algebra Review 5: Simplifying Radicals B
1) Simplify 2 72  5 98
2) Simplify
72a 4b7
Name________________________ No.______
Algebra Review 5: Simplifying Radicals A
2) Simplify
72a 4b7
Name________________________ No.______
Algebra Review 5: Simplifying Radicals A
4
3) Simplify
3 5
Name________________________ No.______
Algebra Review 5: Simplifying Radicals B
2) Simplify 20  2 18
Name________________________ No.______
Algebra Review 5: Simplifying Radicals B
3
3) Simplify
2 3