this is jeopardy let's play!. group 1 group 2group 3 group 4 group 5
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This isJeopardy
Let's Play!
Group 1 Group 2 Group 3 Group 4 Group 5
Triangles circles anglescars movies
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VOCABTry seeing it from my angle
Don't be so obtuse, you know I'm right
I sent Roy to the Median of the line
Don't act all high and mighty, some things are > you
This segment is formed when connecting the midpoints of two sides of a triangle.
$100
$100
What is a Midsegment
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$200
This is the point where three or more lines, segments, or rays intersect.
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What is the point of concurrency
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What is an Orthocenter, Circumcenter, Centroid, and Incenter?
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Points of concurrency for altitudes, perpendicular bisectors, medians, and angle bisectors (respectively).
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$400
Where are Circumcenters, Incenters, Centroids, and Orthocenters located?
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Circumcenters and Orthocenters's locations depend on the type of triangle formed. Acute triangles have the circumcenter and orthocenter inside. Right triangles have the circumcenter and the orthocenter located on the triangle. Obtuse triangles have the circumcenter and orthocenter outside the triangle.Incenters and Centroids are always located inside a triangle.
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$500
Match the correct segment with its corresponding property
1. Perpendicular Bisectors
2. Medians
3. Midsegment
4. Angle Bisectors
(a)
(c)
(b)
(d)
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1. C2. D3. A4. B
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$100
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WZ = 9
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Find the value of x
(6x)ο
(2x + 16)ο
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X = 4
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A
C
D
F
G
B
E
8
6
Point D is the incenter of ΔABC. Find the value of FD.
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FD = 8
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Is DA = DC? Explain.
A
B
CD
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No, we do not know that DA is perpendicular to AB nor do we know that DC is perpendicular to BC.
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Find the value of x that makes N the incenter of the triangle.
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x = 6
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List the sides and angles in order from smallest to largest.
LK
J
32ο
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Angles: L, K, JSides: KJ, LJ, KL
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Is it possible to construct a triangle with side lengths of 1, 6, and 4? Explain why or why not.
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It is not possible, since the sum of any two sides should be greater than the last side. Since 1 + 4 is not greater than 6, a triangle can not be formed.
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What conclusion can be made about the triangles below?
M
S
D
A
95ο 98ο
**Figures not drawn to scale
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AD > AM
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$400
Describe the possible values of x
G
HF
18
8
4x + 2
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2 < x < 6
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x + 3
1245ο
115ο
12
3x + 1
Use the Hinge Theorem or its converse and properties of triangles to write and solve an inequality to describe a restriction on the value of x
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x > 1
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$100
W
X
R S
T
Y
In ΔWXY, R, S, and T are midpoints of the sides
What is RS parallel to?
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WY
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If RT = 7, then XY =
W
X
R S
T
Y
In ΔWXY, R, S, and T are midpoints of the sides
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14
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What is the value of x?
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7
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Identify the coordinates for point R and point T.
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R (h, h) and T(h,0)
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W
X
R S
T
Y
In ΔWXY, R, S, and T are midpoints of the sides
If ST = 3.5x + 6 and WX = 3x + 36, then ST =
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ST = 27
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$100
Find the value of PN.
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PN = 6
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If LP = 6, what is the value of LZ?
LZ = 18
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Daily Double
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Find the coordinates of the centroid of a triangle with the given vertices: R (-3,6), S(-5, 2), T(-7, 10)
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(-5, 6)
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Point P is the centroid of ΔXYZIf ZP = 3x + 7 and ZL = 6x, what is the value of x?
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x = 7
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Point P is the centroid of ΔXYZIf YP = 10x - 4 and YN = 12x + 18, what is the value of segment YP?
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YP = 76
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