Pre-Algebra Angle Vocabulary + Notation

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1
What is angle notation and how is it written with three letters?
Angle notation uses the arc mark (∠) and can be written as ∠ABC or ∠CBA (the middle letter is the vertex)
2
What does it mean when we say angles are congruent?
Congruent means same shape, same size
3
What is the symbol for congruent angles?
≅
4
How can you tell if two angles are congruent using arc marks?
Same number of arc marks means they are congruent
5
If two angles are congruent, what can we say about their measures?
If two angles are congruent, then their measures are equal (m∠DEF = m∠XYZ)
6
What is a straight angle and what is its measure?
A straight angle measures 180° and forms a straight line
7
What is a right angle and what is its measure?
A right angle measures 90° and is marked with a square-shaped arc mark
8
What symbol is used to show perpendicular lines?
⊥
9
What are adjacent angles?
Angles which share a common side; adjacent means "next to"
10
How can you identify if two angles are adjacent?
They must share a common side and a common vertex
11
What are complementary angles?
Two angles whose measures add to 90°
12
What is the equation for complementary angles?
m∠RSP + m∠PST = 90°
13
What are supplementary angles?
Two angles whose measures add to 180°
14
What is the equation for supplementary angles?
m∠EFG + m∠HIK = 180°
15
What are vertical angles?
Vertical angles are formed when two intersecting lines create two pairs of opposite angles
16
What can we say about vertical angles in terms of congruence?
Vertical angles are congruent to each other
17
What is a linear pair of angles?
A linear pair consists of exactly 2 angles that are supplementary and adjacent
18
What is the Triangle Angle Sum Theorem?
All 3 angles of any triangle will always add up to 180°
19
What is the equation for the Triangle Angle Sum Theorem?
m∠BAC + m∠ABC + m∠BCA = 180°
20
How can an angle be named using only the vertex?
An angle can be named with just the vertex letter, like ∠B
21
How can an angle be named using a number?
An angle can be named with a number, like ∠3 (not degrees)
22
What mnemonic helps remember the relationship between complementary and supplementary angles?
C comes before S alphabetically like 90 comes before 180 numerically
23
What does the m∠ notation represent?
The m∠ represents the measure of an angle
24
How would you write that angle RST is 90 degrees?
m∠RST = 90°
25
What's the difference between ∠ABC and m∠ABC?
∠ABC refers to the angle itself, while m∠ABC refers to the measure of the angle
26
If ∠DEF ≅ ∠XYZ, what can you write about their measures?
m∠DEF = m∠XYZ​​​​​​​​​​​​​​​​
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