Transcript No Slide Title

Intro to
Geometry
Angles
Classifying
Triangles
Classifying
Quadrilaterals
Polygons &
Symmetry
Congruent &
Similar
Figures
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What extends
without end in two
opposite directions?
A line
How do I write the
name of this?
C
D
CD
OR
DC
How do I write the
name of this?
A
B
BA
Name 2 lines that are parallel
B
C
A
E
G
AC
and
EG
OR
CA
and
GE
What type of lines
are these?
Parallel lines
Name this 3
different ways
J
K
L
JKL
LKJ
K
What is the approximate
measurement of the
following angle?
a. 60°
b. 95°
c. 140°
The angle is
approximately 60°,
because we know it is
an acute angle, because
it is less than 90°
Use estimation to name the angle
whose measure is closest to the given
measure:
a. 90 °
b. 15 °
N
c. 135 °
O
P
M
R
Q
a.
ORM
b.
PRQ
c.
PRM
Name 2 obtuse
angles from the
following diagram
K
L
M
J
N
O
KON
MOJ
What angles are 90°?
B
C
D
A
F
E
CFA
AND
CFE
What type of
triangle is this?
Equilateral triangle
~All three sides have the
same length
What type of
triangle is this?
Isosceles triangle
~Two sides that are
the same length
What type of
triangle is this?
6 in.
2 in.
10 in.
Scalene triangle
~All three sides are
different lengths
What type of
triangle is this?
45°
45°
Right triangle
~A triangle with
1 right angle
Find the measurement
of the missing angle, x
100°
15°
x°
100° + 15° = 115°
180° - 115° = 65°
X = 65°
What quadrilateral
has 2 pairs of parallel
sides AND 4 right
angles?
A rectangle
What quadrilateral
has 2 pairs of parallel
sides, 4 right angles,
and all 4 sides are the
same length?
A square
What quadrilateral
has 2 pairs of parallel
sides and 4 sides
that are all the same
length?
A rhombus
True or false….
All squares are
parallelograms
True
All squares have 2
pairs of parallel
sides
Which sides of this
quadrilateral are parallel?
A
B
D
C
AD
and
BC
What is the name of
the following figure?
A regular pentagon
~A pentagon is a
five-sided closed
polygon
Is the following figure a
regular hexagon or an
irregular hexagon?
Irregular hexagon
~All the sides are not the
same length, and all of
the angles are not the
same measurement.
Classify the following
polygon, and tell
whether it is regular or
irregular.
Regular octagon
~An octagon is an eight-sided
closed polygon. This specific
octagon has sides of all equal
length, and angles are all equal
measurement.
How many lines of
symmetry does this
figure have?
This figure has 1 line
of symmetry
How many diagonals can be
drawn from one vertex of this
figure? How many triangles
can be formed by these
diagonals?
~3 diagonals can be drawn from
1 vertex
~4 triangles are formed from
these diagonals
4
1
2
3
Are these triangles
similar or congruent?
12 in.
12 in.
6 in.
6 in.
8 in.
16 in.
These triangles are
similar triangles
They are the same
shape, but a different
size
The following triangles are
congruent. What is the value
of x and y?
14 in.
15 in.
15 in.
x
33°
12 in.
12 in.
y°
Since the triangles are
congruent, they have the
same exact measurements.
So x = 14 in.
y = 33°
ABD and ADC are congruent.
How long is CD?
A
20 m
45°
B
31 m
D
C
CD is 31 meters
~Since both triangles are
congruent, CD will have the
same measurement as BD.
ABC and DEF are
congruent. List the
corresponding angles.
F
A
C
E
B
D
The corresponding angles are:
A
and
D
B
and
E
C
and
F
Are these triangles similar
or congruent? Why?
20 in.
10 in.
10 in.
20 in.
10 in.
5 in.
5 in.
10 in.
These quadrilaterals
are similar, because
they have the same
shape, but not the
same size.
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