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Transcript
```UNIT 7 LESSON 15-2
TRAPEZOIDS
MULTIPLE MIDSEGMENTS
• Properties of multiple midsegments:
4
congruent
Triangles formed
Sides of small triangle
are ½ of the
1 small
Area
of
original
triangle is
similar to a large
small triangle
is ¼ the original
Define a trapezoid
Draw trapezoid EFGH with FG // EH and right angle at G.
G
H
F
E
What do the interior angles of a trapezoid add up to?
360 degrees
Isosceles trapezoid- A trapezoid with at least
congruent sides.
two ________
2
1
congruent
Base angles are _____________
Same-Side Interior Angles, supplementary
Angles 1 and 2 are _________________________________________
360 degrees
All angles add up to _____________
2
If m 1 is 75, what is m
2?
105 degrees
1
2x – 1 + 3x + 16 = 180
5x + 15 = 180
5x = 165
x = 33
If m 1= 2x - 1 and
m 2=3x + 16, what is the value
of x?
R
S
U
T
congruent
Diagonals are ___________
If RT = 5x - 11 and US = 6x - 34,
what is the value of x? 5x – 11 = 6x – 34
-11 = x – 34
23 = x
MIDSEGMENTS IN TRAPEZOIDS
average
PRACTICE #1
12
12 + 34 = 46
46/2 = 23
23
34
PRACTICE #2
3x - 4
(3x – 4 + 28)/2 = 3x
3x – 4 + 28 = 6x
-4 + 28 = 3x
24 = 3x
x=8
3x
28
```