Transcript Basic Angles

Bellringer
Use the diagram to identify 1
pair of each of the following:
-Corresponding angles
-Adjacent angles
-Vertical angles
Geometry
JEOPARDY
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GEOMETRY JEOPARDY
Basic
Angles
Triangles
Congruent
Triangles
Pythagorean
Theorem
Relationships
Volume
$100
$100
$100
$100
$100
$100
$200
$200
$200
$200
$200
$200
$300
$300
$300
$300
$300
$300
$400
$400
$400
$400
$400
$400
$500
$500
$500
$500
$500
$500
Angle
Replay
Go to Final Jeopardy
Basic Angles $100
Angles a and b are
congruent because of
_______________ angles
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Basic Angles $100
Angles a and b are
congruent because of
Vertical angles
$100
Basic Angles $200
Which angle is adjacent to
∠ DGC?
a) ∠ FGA
b) ∠ DGE
c) ∠ EGF
d) ∠ AGB
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Basic Angles $200
Which angle is adjacent to
∠ DGC?
a) ∠ FGA
b) ∠ DGE
c) ∠ EGF
d) ∠ AGB
$200
Basic Angles $300
Write and solve an
equation to find the
measure of angle b.
next
Basic Angles $300
Write and solve an equation to
find the measure of angle b.
b + 63 = 90
-63
-63
b = 27˚
$300
Basic Angles $400
Line l and m are parallel. Angle 8
is congruent to angle 2 because
of_____________ ___________
_____________
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Basic Angles $400
Line l and m are parallel. Angle 8
is congruent to angle 2 because
of Alternate Interior Angles
54
$400
Basic Angles $500
If line p and line t are parallel,
name one pair of
corresponding angles.
Line p
Line t
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Basic Angles $500
If line p and line t are parallel,
name one pair of corresponding
angles.
A and E
Line p
Line p
B and F
Line t
Line t
C and G
D and H
$500
Angle Relationships
$100
∠x and ∠y are complementary.
∠x = (2w + 8)˚ and ∠y = 14 ˚
What is the measure of ∠x?
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Angle Relationships
$100
∠x and ∠y are complementary.
∠x = (2w + 8)˚ and ∠y = 14 ˚
What is the measure of ∠x?
(2w + 8) + 14 = 90
2w + 22 = 90
-22 -22
2w = 68
w = 34
$100
∠x = (2w + 8)˚
∠x = 2(34) + 8
∠x = 68+ 8
∠x = 76˚
Angle Relationships
$200
∠h and ∠j are supplementary.
∠h = 123˚ and ∠j = (12+3x)˚
What is the measure of ∠j?
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Angle Relationships
$200
∠h and ∠j are supplementary.
∠h = 123˚ and ∠j = (12+3x)˚
What is the measure of ∠j?
(12 + 3x) + 123 = 180
3x + 135 = 180
-135 -135
3x = 45
x = 15
$200
∠j = (12 + 3x)˚
∠j = 12+ 3(15)
∠j = 12+ 45
∠j = 57˚
Angle Relationships
$300
Lines l and m are parallel. Angle
6 is supplementary to which
angles?
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Angle Relationships $300
Lines l and m are parallel. Angle
6 is supplementary to which
angles?
∠2
∠5
∠1
∠8
$300
Angle Relationships
next
$400
Angle Relationships
Which angles are
adjacent?
a) ∠ HIK and ∠JIF
b) ∠ HIK and ∠KIJ
c) ∠ HIK and ∠EFI
d) ∠ HIK and ∠DFG
$400
$400
Angle Relationships
next
$500
Angle Relationships
$500
$500
Triangles
$100
What is the missing
angle measure?
x˚
56˚
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49˚
Triangles
$100
What is the missing
angle measure?
56 + 49 + X = 180
105 +
X
= 180
X
= 75
x˚
75˚
56˚
$100
49˚
Triangles
$200
What is the missing
angle measure?
next
Triangles
$200
What is the missing
angle measure?
$200
Triangles
$300
What is the missing
angle measure?
next
Triangles
101
$300
101
56
124
45
$300
56
Triangles
$400
Find the measure of
angle M.
next
Triangles
$400
x+5 + 2x-2 + 90 = 180
3x + 93 = 180
3x = 87
x = 29
So Angle M is 2(29) – 2 or 56 degrees
$400
Triangles
$500
What is the missing angle
measure?
next
Triangles
$500
50
64 116
64
116
50
66
130
66
50 64 116
50 130
116
$500
130
Congruent Triangles
$100
Which rule proves that
these triangles are
congruent?
next
Congruent Triangles
$100
Which rule proves that
these triangles are
congruent?
side-angle-side
$100
Congruent Triangles
$200
Which rule proves that
these triangles are
congruent?
next
Congruent Triangles
$200
Which rule proves that
these triangles are
congruent?
side-side-side
$200
Congruent Triangles
Which rule proves that these
triangles are congruent?
A.)
B.)
C.)
D.)
angle-side-angle
side-side-angle
side-angle-side
none of the above
next
$300
Congruent Triangles
Which rule proves that these
triangles are congruent?
A.)
B.)
C.)
D.)
angle-side-angle
side-side-angle -6
side-angle-side
none of the above
$300
$300
Congruent Triangles
Which rule proves that these
triangles are congruent?
A.)
B.)
C.)
D.)
angle-side-angle
side-side-angle
-10 – (-4)
side-angle-side
none of the above
next
–3
$400
Congruent Triangles
Which rule proves that these
triangles are congruent?
A.)
B.)
C.)
D.)
angle-side-angle
side-side-angle -9
side-angle-side
none of the above
$400
$400
Congruent Triangles
$500
Which rule proves that these
triangles are congruent?
A.)
B.)
C.)
D.)
angle-side-angle
a = -9, b = 8, c
side-side-angle
side-angle-side
b–a–c
none of the above
next
=1
Congruent Triangles
Which rule proves that these
triangles are congruent?
A.)
B.)
C.)
D.)
angle-side-angle
side-side-angle 16
side-angle-side
none of the above
$500
$500
Pythagorean Theorem $100
A triangle has sides with
lengths of 6 inches, 9
inches and 14 inches. Is
it a right triangle?
next
Pythagorean Theorem $100
A triangle has sides with
lengths of 6 inches, 9
inches and 14 inches. Is
it a right triangle?
No! the Pythagorean
Theorem doesn’t work.
$100
Pythagorean Theorem $200
What is the length of the
missing side?
next
Pythagorean Theorem $200
What is the length of the
missing side?
40 ft
$300
Pythagorean Theorem $300
Find the distance between
the two points shown.
Round to the nearest tenth.
next
Pythagorean Theorem $300
Find the distance between
the two points shown.
Round to the nearest tenth.
4.2 units
3
3
$100
Pythagorean Theorem $400
What is the length of the
missing side?
next
Pythagorean Theorem $400
What is the length of the
missing side?
$400
Pythagorean Theorem $500
Two joggers run 8 miles north
and then 5 miles west. What is
the shortest distance, to the
nearest tenth of a mile, they
must travel to return to their
starting point?
next
Pythagorean Theorem $500
Two joggers run 8 miles north
and then 5 miles west. What
is the shortest distance, to the
nearest tenth of a mile, they
must travel to return to their
starting point?
9.4 miles
$500
Volume $100
Find the volume of this figure.
Round to the nearest tenth.
next
Volume
$100
Cylinder:
V = 3.14 x 52 x 7
549.5 yd3
$100
Volume
$200
Find the volume of this figure.
Round to the nearest tenth.
next
Volume
$200
CONE:
V = (1/3) x 3.14 x 42 x 7
117.2 m3
$200
Volume
$300
Find the volume of this figure.
Round to the nearest tenth.
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Volume
CYLINDER:
V = 3.14 x
803.8
2
8
x4
3
m
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$300
Volume
$400
The soccer ball is 22 cm across
in diameter. Find its volume to
the nearest tenth.
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Volume
$400
SPHERE: (radius is 11 cm)
V = (4/3) x 3.14 x 113
5572.5 cm3
$400
Volume
$500
A cone has a height of 3.2
inches and a volume of
53.59 cubic inches.
Find the radius.
next
Volume
$500
Cone:
V = (1/3) x 3.14 x
2
r
xh
53.59 = (1/3) x 3.14 x r2 x 3.2
53.59 = 3.35 x
16 = r2
2
r
…so r = 4 inches
$500
Daily
Double
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Final
Jeopardy
Today’s Category:
Pythagorean Theorem
next
In Mike’s basketball game he
ran 9 feet straight out from
under the basket. Then he
went left 4 feet before running
straight back to his original
spot under the basket. How
far did Mike travel? Round to
the nearest tenth.
next
4 ft
9 ft
9.8 ft
Mike traveled a total of
22.8 feet.
next
Geometry
JEOPARDY
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