Transcript similar - Barrington 220

Angles
Triangles &
Polygons
Similar &
Congruent
Polygons
Proportions &
Similar
Polygons
Transformations
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If m∠1 and m∠ 2 are
complementary and the
m∠1 is 28°, find m∠2.
62°
If m∠h = 44° and
m∠j = 36°, are
these angles
complementary,
supplementary, or
neither?
Neither
Classify a 180°
angle as right,
acute, obtuse, or
straight.
Straight
For the given angle find the
measure of a
supplementary angle and
the measure of a
complementary angle if
possible.
Supplementary = 173°
Complementary = 83°
Copy and complete the statements
using sometimes, always, or never.
Vertical angles are ____________
congruent.
Intersecting lines are ________________
perpendicular.
When a line intersects two parallel
lines, corresponding angles are
_______________congruent.
Vertical angles are always
congruent.
Intersecting lines are
sometimes perpendicular.
When a line intersects two
parallel lines, corresponding
angles are always
congruent.
Classify the triangle
by its angle
measures.
68°, 22°, 90°
Right
Classify the triangle
by the length of its
sides.
5 ft., 14 ft., 11 ft.
Scalene
The measure of one
angle of a triangle is
36°. The other two
angles are
congruent. What are
their measures?
Each of the congruent
angles has a measure
of 72°.
Find the measure
of each side of a
regular heptagon
with a perimeter of
52.5 inches
7.5 inches
Name a
quadrilateral that is
always a regular
polygon.
Square
Fill in the blanks in the following
statement.
Two polygons are _____________if
they have the same shape but not
necessarily the same size.
______________________________ are
similar polygons that have the
same shape and the same size.
Two polygons are similar if
they have the same shape but
not necessarily the same size.
Congruent polygons are
similar polygons that have the
same shape and the same size.
Do a 9 foot by 12 foot
rectangular kitchen
and a 12 foot by 15 foot
rectangular den have
similar shapes?
No
A rectangular painting has a
length of 48 inches and a
width of 36 inches. A
rectangular print of the
painting has a length of 32
inches and a width of 24
inches. Are the original and
the print similar figures?
Yes
Are any two squares
similar? Explain.
Yes. All angles
measure 90°, and the
ratio of any side of
one square to any
side of the other is
the same.
△BCD≅ △JKL. If
m∠C = 48°, m∠D =
62°, and ∠J
corresponds to ∠B,
what is m∠J?
70°
The ratio of corresponding
side lengths of two similar
polygons is 5/6. How long
is a side of the larger
polygon corresponding to a
side of length 20 in the
smaller.
24
Muffy photographs
a giraffe that is 15
feet tall, with a 12
foot shadow. If
Muffy’s shadow is 4
feet long, how tall
is she?
5 ft.
A man who is 6 feet tall stands
next to a street sign. The
man’s shadow is 4 feet long.
At the same time, the sign’s
shadow is 6 feet long. Write
and solve a proportion to find
the height of the sign.
6/4 = x/6
x = 9 ft.
A rectangular movie poster
has a length of 28 inches and
width of 22 inches. A print of
the poster is similar to the
original and has a length of 14
inches. What is the width of
the print?
11 inches
A 7 ft. tall welcome sign in a city
park casts a shadow that is 2 feet
long. At the same time, a
monument in the park casts a
shadow that is 16 feet long. Draw
a diagram to represent the
situation. Then find the height of
the monument.
56 ft.
Fill in the missing terms.
In a ____________, or slide, each point of
a figure is moved the same distance
in the same direction.
In a ______________, or flip, a figure is
reflected in a line called the ______
____ ________________, creating a mirror
image of the figure.
In a translation, or slide, each
point of a figure is moved the
same distance in the same
direction.
In a reflection, or flip, a figure is
reflected in a line called the line of
reflection, creating a mirror image
of the figure.
A fixed camera snaps two
pictures of a race car, one just
before crossing the finish line
and one just after. What kind
of transformation does the
car’s position in the pictures
represent?
Translation
Describe the
translation of a
figure 6 units to the
right and 1 unit
down using
coordinate notation.
(x,y) → (x + 6, y – 1)
Find the coordinates
of the vertices
A(-1,3), B(2,1), C(6,4)
of a triangle after the
rotation
(x,y) → (-y,x).
A΄(-3,-1)
B΄(-1,2)
C΄(-4,6)
Draw quadrilateral QRST
with vertices Q(3,2),
R(4,5), S(-2,4), and T(-1,1).
Then find the coordinates
of the vertices of the image
after it is reflected in the xaxis.
Q΄(3,-2)
R΄(4,-5)
S΄(-2,-4)
T΄ (-1,-1)