J ΣθPARδY !
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Vocab Theorems Points of Concurren cy What’s Wrong? Solve It! Anything Goes… $ 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 J J ΣθPARδY ΣθPARδY ! ! Mαth Mαth Mαth JΣθPARδY! was created by GradeA math mathhelp.com Mαth JΣθPARδY! Mαth JΣθPARδY!
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Mαth. J ΣθPARδY !. Mαth JΣθPARδY!. Mαth JΣθPARδY! was created by GradeA math help.com. Vocab - 100. Three lines that intersect at the same point are _____________. Answer:. Concurrent. Vocab - 200. The distance from a point to a line is measured using a ___________segment. Answer:. - PowerPoint PPT Presentation
Transcript of J ΣθPARδY !
Vocab Theorems Points of Concurrenc
y
What’s Wrong?
Solve It! Anything Goes…
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$200 $200 $200 $200 $200 $200
$300 $300 $300 $300 $300 $300
$400 $400 $400 $400 $400 $400
$500 $500 $500 $500 $500 $500
JJΣθPARδYΣθPARδY!! MαthMαth
Mαth JΣθPARδY! was created by GradeAmathmathhelp.com
Mαth Mαth JΣθPARδY!JΣθPARδY!
Vocab - 100
Three lines that intersect
at the same point are _____________.
Concurrent
Vocab - 200
The distance from a point
to a line is measured using a
___________segment
Perpendicular
Vocab - 300
How do you prove the midsegment DF is parallel to side AC?
Parallel lines have the same slope
Vocab - 400
The __________ of a right triangle is always located across from
the right angle.
Hypotenuse
Vocab - 500
What do the circumcenter, the incenter, the centroid, and the
orthocenter all have in common?
They are all points of concurrency
Theorems - 100
The Perpendicular Bisector theorem states:
If a point is on the perpendicular bisector of a segment, then __________________.
it is equidistant from the endpoints of the segment.
Daily Double
If you find the incenter of a triangle then, you know that which segments are congruent?
The perpendicular segments from the incenter to each side
Theorems - 300
Which theorem is shown below?
If mACP = mPCB
then, AP = PB
Angle Bisector Theorem
Theorems - 400
What does the Concurrency of the Altitudes of a Triangle prove?
Nothing (we only know the orthocenter)
Theorems - 500
State the Midsegment Theorem.
The segment connecting the midpoints of two sides of a triangle is parallel to the third side and half as long.
Points of Concurreny - 100
Perpendicular Bisectors of a triangle intersect at the
___________.
Circumcenter
Points of Concurrency - 200
The Incenter is the point where _______ of a traingle intersect.
Angle Bisectors
Points of Concurrency - 300
Which 2 points of concurrency are always found inside the triangle?
Incenter & Centroid
Points of Concurrency - 400
Which Point of Concurrency is shown?
Orthocenter
Points of Concurrency - 500
What is true about the points of concurrency of an
isosceles triangle?
They can be connected by the same line
What’s Wrong? - 100
The following diagram should show that D is on the angle bisector….
A
C
D
B
What’s Wrong? - 200
A perpendicular bisector intersects a segment at the
circumcenter of the segment.
What’s Wrong? - 300
What is wrong with this statement?
“The Point of Concurrency is the center of the
triangle.”Each of the four Points of Concurrency is in a different location in the triangle – not necessarily the “center”
What’s Wrong? - 400
What’s wrong with this statement?
“If you find the circumcenter, then you can prove the angle bisectors of the
triangle are congruent.” Cirumcenter proves the
segments from the circumcenter to the vertex are congruent
What’s Wrong? - 500
What’s wrong with this statement?
“If you find the centroid, then you know the length of the median of
the triangle.”
The centroid is 2/3 of the distance from the vertex to the opposite side.
Daily Double
Find the distance of LZ
LZ= √39
Solve It! - 500
Find the measure of LX
LX = 12
Anything Goes… - 100
Label the following information in the figure below…
A)C is a right angle
B)A B
C)AB = 8
D)AD bisects CB A B
D
C
A B
D
C
8
Anything Goes… - 200
In a Converse Theorem, what is true about the “if” and the “then” statements?
The are switched
Anything Goes… - 300
What is the difference between medians and altitudes
of a triangle?
Median: segment from a vertex to the midpoint of the opposite side.
Altitude: perpendicular segment from a vertex to the opposite side.
Anything Goes… - 400
Find the perimeter of ∆ABC.
Perimeter = 42
Anything Goes… - 500
If D is the midpoint of AB
& E is the midpoint of AC,
What is the distance of DE?
12.5
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