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Transcript
$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
100 points
The incenter is the
point of concurrency
of these segments
100 Points
Angle bisectors
200 Points
The circumcenter is
the point of
concurrency for
these segments
200 Points
Perpendicular
Bisectors
300 Points
This segment is
created by connecting
the midpoint of 2 sides
of a triangle.
300 Points
Midsegment
400 Points
Fill in the blanks:
The center of an inscribed
circle is called a(n) ______, and
the radius is the distance from
the center to the ______ of the
triangle.
400 Points
incenter,
sides
500 Points
A median is a
segment that
connects these 2
points of a triangle.
500 Points
Vertex and midpoint of
the opposite side
100 Points
This is the theorem used
to calculate the length of
the side of a triangle on a
coordinate plane.
100 Points
Pythagorean Theorem
a2 + b 2 = c2
200 Points
According to the
Triangle Midsegment
Theorem, the
midsegment is ______ of
the side it is parallel to.
200 Points
Half the length
300 Points
The Triangle Angle Sum
Theorem says the 3
angles of a triangle
must do what?
300 Points
Add up to equal 180o
400 Points
Finish the Isosceles
Triangle theorem:
“If 2 sides of a triangle
are congruent, ______”
400 Points
The 2 angles opposite of
the congruent sides are
congruent
500 points
According to the
Perpendicular Bisector
Theorem, if D is on the
perpendicular bisector
of 𝐴𝐵, what congruency
statement is true?
500 points
𝐴𝐷 ≅ 𝐵𝐷
100 Points
This is the reason you
always use for a
shared side in a proof.
100 points
Reflexive Property
of Congruence
200 Points
What proves the
triangles are congruent?
200 Points
SSS
300 Points
What proves the
triangles are congruent?
300 Points
SAS
Daily Double 1
What additional information is
needed to prove the triangles
are congruent by HL?
Daily Double 1
JAK and NAK are right angles
500 Points
What theorem is always the
reason for the statement
AFTER a triangle
congruency statement
because it says “if triangles
are , corresponding sides
and angles must be ?
500 Points
CPCTC
“Corresponding parts
of   are ”
100 Points
Which method is NOT a proper way
to draw a perpendicular bisector?
A. Trace the segment & fold the
segment in half so the vertices
line up
B. Use a compass to construct the
perpendicular bisector
C. Use a protractor to draw a 90o
angle on the segment
100 Points
C
You would have to locate
the midpoint before
drawing your 90o angle!
200 Points
What construction is
required to construct
parallel lines: copy a
segment, copy an angle,
bisect a segment, or bisect
an angle?
200 Points
Copy an angle
( corresponding angles)
300 Points
Sketch the needed lines
and arcs required in the
construction of a line
perpendicular to line m
through point P.
300 Points
P
m
400 Points
What is the first thing
that needs to be
constructed to
circumscribe a circle
around a triangle?
400 Points
The perpendicular
bisectors of the sides of
the triangle
500 Points
What is the first thing
that needs to be
constructed to
inscribe a circle
inside a triangle?
500 Points
The angle bisectors of
the triangle
100 Points
________ lines have the
same slope.
100 Points
Parallel
200 Points
The slope of line n is
7. This is the slope of
the line perpendicular
to n?
200 Points
−1
7
300 Points
What is the equation of a line
parallel to y = 5x – 6 that goes
through the point (9, 2)? Put
the equation in point-slope
form.
300 Points
y – 2 = 5(x – 9)
Daily Double 2
What is the equation of a line
perpendicular to y – 7 = -3(x + 6)
that goes through the point (-9, 2)?
put the equation in slope-intercept
form (y = mx + b).
Daily Double
1
y= x+5
3
500 Points
Which of the following is a line that
is parallel to and unique (different
y-intercept) from the line
12x + 3y = 9?
1
A)
y= x+6
B)
C)
D)
4
1
4
y= x+3
y = - 4x + 6
y = - 4x + 3
500 Points
C) y = - 4x + 6
100 Points
o
40
A triangle has a
angle and an 60o angle.
What is the measure of
the 3rd angle?
100 Points
80o
200 Points
ABC is an equilateral
triangle. Solve for x if
mA = 7x + 4.
200 Points
x=8
300 Points
TUV is an isosceles triangle,
where ∠T is the vertex angle,
𝑚∠T=52°, and 𝑚∠V=(10𝑥 + 4)°.
What is the value of x?
300 Points
x=6
400 Points
QRS has angle measures of 5x,
12x – 3, and 20x – 2. Calculate
the measures of the 3 angles.
400 Points
25o, 57o, 98o
500 Points
EFG has vertices E(-5, 5),
F(1, 13), and G(1, 3). Calculate
the length of each side.
500 Points
EF = 10 units
FG = 10 units
EG = 40 units
Complete the Proof
Given
Definition of ┴ lines
Reflexive Property of 
HL 
CPCTC