This triangle has all equal sides.
Equilateral triangle
Two rays with the same endpoint. The common endpoint is called a vertex.
Angle
A triangle is labeled ABC. What are the inequalities?
AB+BC= AC
BC+AC=AB
AC+AB+BC
The segment connecting the midpoints of the two sides of a triangle is parallel to the third side and is half its length.
Midsegment Theorem
What are the corresponding angles
A = X
C = Z
B = Y
This triangle has all angles less than 90 degrees
Sides of the triangle.
Rays
All three inequalities must be ___ to be a triangle.
true
What two points are the mid segment?
DE
Corresponding parts are ____?
proportional
This triangle has one angle that is greater than 90 degrees.
Obtuse triangle
What is the vertex?
B
A) 2+4>5, 4+5>2, 5+2>4
B) 6+8>14, 8+14>6, 14+6>8
What to points are the midsegments?
Triangle PQR is similar to trianlge LMN. Write the proportion that contains PQ and LN.
PQ/LM = PR/LN
Scalene triangle
Name the sides of this triangle.
YX and YZ
The lengths of 2 sides of a triangle are 5 feet and 8 feet. What is the range of possible lengths for the third side?
8-5 < x >8+5
3 < x > 13
What is the value of x?
x = 6
∠ABC = (2x + 30) °, ∠PQR = 55 ° and ∠ RPQ = 65 °, find the value of x.
x = 15°
Isosceles triangle
Name(s) of this triangle.
< ABC and <CBA
The lengths of 2 sides of a triangle are 10 inches and 5 feet. What is the range of possible lengths for the third side?
10-5 > x < 10 + 5
5 > x < 15
What are the congruent segments?
BF, FC, DE
AE, EC, DF
BD, DA, FE
Can you say two figures are congruent if their corresponding angles have the same measure?