Definition: A meaning to a word using previously defined 📕 words.
Definition: A meaning to a word using previously defined 📕 words.
Postulate or Axiom: A statement that's accepted to be true, but can't be proven 😲
Postulate or Axiom: A statement that's accepted to be true, but can't be proven 😲
Example: Exactly one line can be drawn through two points
Theorem: A statement that can be proven true using logical 🧠 arguments based on facts and statements
Theorem: A statement that can be proven true using logical 🧠 arguments based on facts and statements
Example: The diagonals of a square 🟩 are perpendicular
"Angle A is congruent to Angle B"
"Line Segment AB is congruent to Line Segment PQ"
"Line Segment AB is congruent to Line Segment PQ"
P.S. 🤫 When talking about length of a line segment, you don't have to put the segment symbol on top
A
B
C
D
A
B
C
D
A
B
C
D
Since \( \overline{AB} \) and \( \overline{CD} \) have the same # Tick Marks, they're congruent
A
B
C
D
\( \overline{AB} \cong \overline{CD} \)
A
B
C
D
\( \overline{AB} \cong \overline{CD} \)
A
B
C
D
\( \overline{AB} \cong \overline{CD} \)
\( \overline{AD} \cong \overline{BC} \)
Can you see 👀 what angles or segments are congruent? 🤔
\( \overline{BC} \cong \overline{EF} \)
\( \overline{BC} \cong \overline{EF} \)
\( \measuredangle B = \measuredangle E \)
\( \overline{BC} \cong \overline{EF} \)
\( \measuredangle B = \measuredangle E \)
\( \measuredangle C = \measuredangle F \)
A
B
C
A
B
C
A
B
C
Points \(A, B,\) and \(C\) are collinear
A
B
C
Not anymore😂
Now they're noncollinear
A
B
C
D
A
B
C
D
A
B
C
D
Lines \( S\) and \(R\) intersect at Point M
Lines \( S\) and \(R\) intersect at Point M
Two lines always intersect at a Point
Planes \( ABC\) and \(ABD\) intersect at Line \( AB \)
Planes \( ABC\) and \(ABD\) intersect at Line \( AB \)
Two planes will always intersect at a line
Line \( s \parallel \) Line \( r \)
Line \( s \parallel \) Line \( r \)
Plane \( R \parallel \) Plane \( S \)
Line \( s \perp \) Line \( r \)
Plane \( R \perp \) Plane \( S \)
Line \( s \perp \) Line \( r \)
Notice 👀 how lines \( AE \) and \( GF \) are
Notice 👀 how lines \( AE \) and \( GF \) are
Notice 👀 how lines \( AE \) and \( GF \) are
Notice 👀 how lines \( AE \) and \( GF \) are