Honors Geometry
Chapter 6 Review
Name ________________________________Date___________________________Blk_______
***Questions become increasingly difficult in each section.***
Sometimes, Always or Never
1. A trapezoid is __________________ a parallelogram.
2. Both pairs of opposite angles of a rhombus are __________________ congruent.
3. Diagonals of a trapezoid are __________________ perpendicular.
4. Consecutive angles of a rhombus are __________________ supplementary and
congruent.
5. Consecutive angles of a trapezoid are __________________ congruent. Why?
What is it? Pick the most specific name as possible.
1.
2.
3.
4.
5.
Find the value of …
1. Quadrilateral EFGH is a rectangle. Find the value of x.
mHEG  12 x  1; mGEF  6 x  1
2. Quadrilateral EFGH is a rectangle. Find the value of x.
JF = 8x – 5, EG = 24 – x
E
H
J
F
G
E
H
J
F
G
Honors Geometry
Chapter 6 Review
3. Find the values of x and y that ensure each quadrilateral is a parallelogram.
6y°
(5x + 10)°
30°
4. Find the values of x and y in Rhombus QRSP, if PT = 4x – 8, QT = 6y – 9, TR = 16 – 2x,
TS = 3y + 9.
Q
P
T
R
S
5. MNOP is an isosceles trapezoid with NO || MP . If mM  2 x and mP  x  27 , find
the value of x.
Is it a Parallelogram? State the theorem, postulate, or definition that you use. Use
markings to explain.
1.
2.
3.
4.
5.
Honors Geometry
Chapter 6 Review
Miscellaneous
1. Consecutive angles are always supplementary in a(n)…
a. Quadrilateral
b. Parallelogram
c. Trapezoid
d. Isosceles Trapezoid
2. Trapezoid AMDS with bases AM and DS , and Median LT . If AM = 3g and DS = 9g,
find LT.
3. The diagonals of a parallelogram ________________ bisect the angles. (Sometimes,
Always or Never)
4. Each diagonal of a rhombus ________________ divides the rhombus into two isosceles
triangles.
5. Trapezoid AMDS with bases AM and DS , and Median LT . If LT = 14 + 5t and
DS = 8t + 22, find AM.
6. Find the values of x and y that ensure the quadrilateral is a parallelogram.
y2
4x + 16
x2 – 2x
25
Honors Geometry
Chapter 6 Review
Answer Key
Sometimes, Always or Never
1. never
2. always
3. never
4. sometimes
5. never, because if all adjacent angles were congruent then they would be right
angles…such it would be a rectangle which is not a trapezoid.
What is it?
1. Parallelogram
2. Square
3. Rectangle
4. Rhombus
5. Not Possible (How can two intersecting lines be parallel.)
Find the value of …
1. x = 5
2. x = 2
3. y = 5, x = 28
4. y = 6, x = 4
5. x = 27
Parallelogram?
1. yes, definition of a parallelogram.
2. yes, If one pair of opposite sides in a quadrilateral is both congruent and parallel then
the quadrilateral is a parallelogram.
3. yes, The quadrilateral is a rhombus (def. of rhombus). All rhombi are parallelograms,
so the quad is a parallelogram. (If both pairs of opposite sides of a quadrilateral are
congruent, then the quadrilateral is a parallelogram.)
4. yes, If both pairs of opposite sides of a quadrilateral are congruent then the
quadrilateral is a parallelogram.
5. unable to tell. It could be a kite or a rhombus. Kites are not parallelograms, while
rhombi are parallelograms.
Misc.
1. Parallelogram
2. LT = 6g
3. sometimes
4. always
5. AM = 2t +6
6. y = 5 or -5, x = 8 or -2