SWBAT- Name, classify and calculate the measure of angles.
SWBAT- Name, classify and calculate the measure of angles.
U is the midpoint of TV,
TU = 3x+4,and UV = 5x-2.
Find TU, UV, and TV.
SWBAT- Name, classify and calculate the measure of angles.
U is the midpoint of TV,TU = 3x+4,and UV = 5x-2.
Find TU, UV, and TV.
5x-2
3x+4
T
3x+4
3x+6
6
3
U
=
=
=
=
5x-2
5x
2x
x
V
TU = 3x+4 = 3(3) + 4 = 13
UV = 5x-2 = 5(3)-2 = 13
TV = 13 + 13 = 26
SWBAT- Name, classify and calculate the measure of angles.
HW - ANSWERS
SWBAT- Name, classify and calculate the measure of angles.
HW - ANSWERS
SWBAT- Name, classify and calculate the measure of angles.
angle a figure formed by two rays, or
An ______is
sides, with a common endpoint called the
vertex (plural: vertices)
__________________.
You can name
an angle several
ways: by its
vertex, by a
point on each
ray and the
vertex, or by a
number.
3 ways:
∡R
∡1
∡SRT
∡TRS
SWBAT- Name, classify and calculate the measure of angles.
Part 1
Part 2
Whole
∡BAC
∡ CAD
∡BAD
∡CAB
∡DAC
∡DAB
∡1
∡2
∡A
SWBAT- Name, classify and calculate the measure of angles.
Part 1
Part 2
Whole
∡TVS
∡RVS
∡RVT
∡SVT
∡SVR
∡TVR
∡1
∡2
∡V
SWBAT- Name, classify and calculate the measure of angles.
SWBAT- Name, classify and calculate the measure of angles.
Congruent angles are angles that have the same
measure. In the diagram, mABC = mDEF, so you
can write ABC  DEF. This is read as “angle ABC
is congruent to angle DEF.” Arc marks are used to
show that the two angles are congruent.
SWBAT- Name, classify and calculate the measure of angles.
Congruent angles
Congruent angles
SWBAT- Name, classify and calculate the measure of angles.
Segments
𝐾𝐷 ≅ 𝐽𝐻
𝐸𝐹 ≅ 𝐺𝐹
Angles
∡ECK ≅ ∡HCG
∡ECF ≅ ∡GCF
SWBAT- Name, classify and calculate the measure of angles.
practice
Segments
𝑇𝑈 ≅ 𝑇𝑉
Angles
∡TVU ≅ ∡TUV
∡WVU ≅ ∡XUV
SWBAT- Name, classify and calculate the measure of angles.
P1 + P2 = W
SWBAT- Name, classify and calculate the measure of angles.
Example 2: Using the Angle Addition Postulate
m ∡DEG = 115°, and m ∡DEF = 48°. Find m ∡FEG.
P1 + P2 = W
m ∡DEF + m ∡FEG = m ∡DEG
48 + m ∡FEG = 115
–48°
–48°
m ∡FEG = 67
SWBAT- Name, classify and calculate the measure of angles.
Practice
m ∡XWZ = 121° and m ∡XWY = 59°. Find m ∡YWZ.
P1 + P2 = W
m ∡XWY + m ∡YWZ = m ∡XWZ
59 + m ∡YWZ = 121
–59°
–59°
m ∡YWZ = 62
SWBAT- Name, classify and calculate the measure of angles.
An angle bisector is a ray that divides an angle
into two congruent angles.
JK bisects LJM; thus LJK  KJM.
H1
H2
H1 = H2
SWBAT- Name, classify and calculate the measure of angles.
Example 3: Finding the Measure of an Angle
KM bisects ∡JKL, m ∡JKM = (4x + 6)°, and
m ∡MKL = (7x – 12)°. Find m ∡JKM.
𝒉𝟏 = 𝒉𝟐
m ∡JKM = m ∡MKL
Find m ∡JKM.
= 4(6) + 6
m ∡JKM. = 30
(4x + 6)° = (7x – 12)°
+12
+12
4x + 18 = 7x
–4x
–4x
18 = 3x
6=x
SWBAT- Name, classify and calculate the measure of angles.
Practice
JK bisects ∡LJM, m ∡LJK = (-10x + 3)°, and
m ∡KJM = (–x + 21)°. Find m ∡LJM.
𝒉𝟏 = 𝒉𝟐
SWBAT- Name, classify and calculate the measure of angles.
Challenge
SWBAT- Name, classify and calculate the measure of angles.
SWBAT- Name, classify and calculate the measure of angles.