Midsegments, Perpendicular Bisectors, and Angle Bisectors
Center of Triangles Vocab
Centers of Triangles
Inequalities in Triangles
Triangles Inequalities with Algebra
100
Solve for x.
x=12
100
The ______________________ of a triangle intersect at the circumcenter.
perpendicular bisectors
100
find ZY.
8.9
100
Determine whether the side lengths could form a triangle. Prove your answer with an inequality.
5 ft, 2 ft, 10 ft
No, 7>10
100
Classify the triangle center.
incenter
200
Find DH.
76
200
The ____________________ of a triangle intersect at the incenter.
angle bisectors
200
16.2
200
Determine whether the side lengths could form a triangle. Prove your answer with an inequality.
15 m, 50 m, 37 m
Yes, 52>50
200
Classify the triangle center.
orthocenter
300
Find SR.
57
300
The ________________________ of a triangle intersect at the centroid.
medians
300
find QV.
8.6
300
Given the measures of two sides of a triangle, find the range of values for the third side.
3 km, 48 km
45<x<51
300
Two sides of a triangle measure 19 cm and 34 cm, check all possible values for the third side.
21, 38, 52
400
108
400
The _______________________ of a triangle intersect at the orthocenter.
altitudes
400
the measure of angle FGE
x=2
FGE=60 degrees
400
Give the side lengths in order from least to greatest.
KM, LM, KL
400
List the sides of triangle FGH in order from least to greatest if m angle F = (15x – 7) ° , m angle G = (6x – 15) ° , and m angle H = (4x + 2) ° .
FH, FG, GH
500
If mnangle DEC = (12x – 3) ° , m angle BCE = (7x – 26) ° , and m angle DAE = 72° , find m angle DEC.
129 degrees
500
Classify the triangle center.
centroid
500
find PO and JN.
PO=8
JN=15
500
Compare the sides by filling in the blank with a < or > symbol.
BC>DE
500
List the angles of triangle AMK in order from least to greatest if AM = x + 13, MK = 4x – 3, AK = 9x – 22, and the perimeter of triangle AMK = 58.
angle A, angle K, angle M