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1. TRAPEZOIDS, KITES, AND OTHER SPECIAL
QUADRILATERALS
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2. TRAPEZOIDS ‐ a quadrilateral with exactly one pair of parallel sides
base
leg leg
Base Angles
base
ISOSCELES TRAPEZOIDS WOULD HAVE
____________ LEGS
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3. ISOSCELES TRAPEZOIDS
1. If a trapezoid is isosceles, then each pair of base angles is congruent.
2. If a trapezoid has a pair of congruent base angles,
then it is an isosceles trapezoid.
3. A trapezoid is isosceles if and only if its diagonals are congruent.
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4. 500 FIND THE OTHER THREE ANGLES
Quadrilateral's interior angles add to...
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5. Show that quadrilateral ADCB is an
isosceles trapezoid.
Ask yourself, what are the mandatory
A characteristics for an isosceles trapezoid?
B D
C
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6. Show that quadrilateral ADCB is a trapezoid.
C Ask yourself, what are the mandatory
characteristics for a trapezoid?
B
D
A
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7. B C
M
MIDSEGMENT (only of the legs)
N
A D
MIDSEGMENT THEOREM FOR TRAPEZOIDS
MN = (1/2)(AD + BC)
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8. B 22
C
E F
A D
50
FIND EF
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9. KITE
‐ a quadrilateral that has two pairs of consecutive congruent sides,
but opposite sides are not congruent
Diagonals are perpendicular
One pair of opposite angles are ≅
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10. X
the figure is a kite
12
Y
20 14 W
12
Z
FIND WX
FIND XY
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11. Find the other angles if this
figure is a kite
1320 600
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12. √29
5
Find the RED side
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13. SPECIAL QUADRILATERALS
WHAT WE'VE DONE SO FAR...
KNOW THIS!
QUADRILATERAL
KITE PARALLELOGRAM TRAPEZOID
RHOMBUS RECTANGLE ISOSCELES
TRAPEZOID
SQUARE
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14. QUADRILATERAL
KITE PARALLELOGRAM TRAPEZOID
TRUE / FALSE
RHOMBUS RECTANGLE ISOSCELES
TRAPEZOID
SQUARE
1. A square is a parallelogram 5. A rhombus is a rectangle
2. A kite is a trapezoid 6. A square is a rhombus
3. A rectangle is a square 7. A rhombus is a square
4. An isosceles trapezoid is a 8. A quadrilateral is a rectangle
quadrilateral
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15. Quadrilateral ABCD has at least one pair of opposite sides
congruent. What kinds of quadrilaterals meet this condition?
PARALLELOGRAM RECTANGLE
ISOSCELES TRAPEZOID
SQUARE
RHOMBUS
TRAPEZOID
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16. THE DIAGONALS OF RSTQ ARE PERPENDICULAR.
WHAT QUADRILATERALS MEET THIS CONDITION?
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17. Join the midpoints of the sides of any quadrilateral, what
special quadrilateral is formed?
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18. What type of quadrilateral is this?
0
120 EXPLAIN
1200
600
600
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19. IN QUADRILATERAL RSTV,
m<R = 880, m<S = 1130, AND m<V = 1130.
WHAT TYPE OF QUADRILATERAL COULD RSTV BE?
EXPLAIN
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20. THE DIAGONALS OF ABCD INTERSECT AT POINT N TO FORM
FOUR ≅ ISOSCELES ΔS:
ΔANB ≅ ΔCNB ≅ ΔCND ≅ ΔAND.
WHAT TYPE OF QUADRILATERAL IS ABCD?
EXPLAIN.
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21. WAYS TO SHOW A FIGURE IS A RHOMBUS:
1. All four sides of the quadrilateral are
congruent
2. Quadrilateral is a parallelogram and the
diagonals are perpendicular
3. Quadrilateral is a parallelogram and that
each diagonal bisects a pair of opposite
angles
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22. SHOW the figure is rhombus...
K(2, 5)
L(‐2, 3) N(6, 3)
M(2, 1)
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23. PROPERTY
Both pairs of opp.
sides are ||
Exactly 1 pair of
opp. sides are ||
Diagonals are
perpendicular
Diagonals are ≅
Diagonals bisect
each other
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24. HOMEWORK
TEST MONDAY
BACK WORK DEADLINE THIS FRIDAY (3/13)
NB30
Pg. 359 ‐ 362 #s 16 ‐ 24 even, 32 ‐ 36 even
(graph paper needed)
Pg. 367 ‐ 370 #s 8 ‐ 13, 16 ‐ 24 even,
36 (graph paper needed), 51
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