2 Similarity Jeopardy

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Transcript 2 Similarity Jeopardy

Proportion
Similar
Similar
& Ratios
Polygons
Triangles
Proportions in
Triangles
$100
$100
$100
$100
$200
$200
$200
$200
$300
$300
$300
$300
$400
$400
$400
$400
$500
$500
$500
$500
Proportions for $100
Two ratios that are equal
Proportions for $200
4 m

7 35
Proportions for $300
Find the ratio of the length to the
width of the rectangle and simplify.
60 feet
78 feet
Proportions for $400
The similarity ratio of two
rectangles is 4:5. What is
the ratio of the perimeters
and the areas?
The area of a regular octagon
is 35 cm2. What is the area of
a regular octagon with side six
times as large?
Similar Polygons for $100
If two polygons are similar then
1) Corresponding __________ are congruent
and
2) Corresponding sides are __________.
Similar Polygons for $200
Determine if the two
figures are similar and
explain:
5 cm
10 cm
10 cm
20 cm
Similar Polygons for $300
The measures of the corresponding sides of
the polygons are proportional. If AD = 6, DC =
3, and WZ = 33, find YZ. (not drawn to scale)
X
B
A
C
D
W
Y
Z
Similar Polygons for $400
The two polygons are
similar. Find the value of x.
30
15
x
18
Similar Polygons for $500
The polygons below are similar,
but not necessarily drawn to
scale. Find the values of x and y.
x-1
9
y+1
20
21
12
45
27
Similar Triangles for $100
What are the three different ways
to prove triangles similar?
AND
Are equilateral triangles always
similar? What would be the
easiest way to prove your
answer?
Similar Triangles for $200
Are the two triangles similar? If
so, tell which theorem you used
and explain why.
M
R
N
S
T
Similar Triangles for $300
Are the triangles similar? If so, tell
which theorem you used and explain
why.
3
5
2
3
8
3 1/3
Similar Triangles for $400
Explain why the triangles
are similar. Then find the
value of x.
4.5
25º
5
x
25º
3
Similar Triangles for $500
Campsites F and G are on opposite sides of a
lake. A survey crew made the measurements
shown on the diagram. What is the distance
between the two campsites? The diagram is
not scale.
F
82.8m
82m
47m
92m
73.8m
G
Proportions in Triangles for $100
Use the Side-Splitter
Theorem to find x
given that PQ || BC.
A
8
P
x
B
12
Q
18
C
Proportions in Triangles for $200
Given AE || BD solve for x
A
x
B
11
E
5
D
7
C
Proportions in Triangles for $300
Find x to the nearest tenth. Given that
angle BAC is congruent to angle CAD
B
x
15.7
C
9.6
A
D
20.2
Proportions in Triangles for $400
Solve for x and y
y
16.5
15
26
x
30
Proportions in Triangles for $500
In Lexington Main Street, Vine Street, and High
Street are parallel streets that intersect South
and North Upper. How long is the walk from
Main Street to Vine Street along South Upper?
South Upper
North Upper
High St
Main St
Vine St
425ft
330ft
500ft
Final Jeopardy Question