LESSON 9- LESSON 15 Flashcards
What is Proportion?
Proportion is the
equality of two ratios.
What are the properties of proportion?
- Cross-multiplication Property
- Alternation Property
- Inverse Property
- Addition Property
- Subtraction Property
- Sum Property of the Original Propotion
What is the property of proportion that includes cross multiplication when solving?
Cross-multiplication Property
What is the property of proportion if w/x=y/z becomes w/y=x/z?
Alternation Property
What is the property of proportion if w/x=y/z becomes x/w=z/y?
Inverse Property
What is the property of proportion that includes Addition of numerator and denominator when solving?
Addition Property
What is the property of proportion that includes Subtraction of numerator and denominator when solving?
Subtraction Property
This is the last property of proportion and includes solving for k(constant)
Sum Property of the Original Propotion
How can we say that
two polygons are
SIMILAR?
In geometry, two
polygons are similar
when one is a replica
(scale model) of the
other.
WHAT IS SCALE FACTOR?
The common ratio
of the lengths of
corresponding sides
of similar polygons
If the three angles of one triangle are congruent to
three angles of another triangle, then the two
triangles are similar
AAA Similarity Postulate
If 2 angles of one triangle are congruent to the corresponding two angles of another triangle, the the triangles are similar.
AA Similarity Theorem
If in two triangles two pairs of corresponding sides are proportional and the included angles are congruent, then the triangles are similar.
SAS Similarity Theorem
If the two triangles three corresponding sides are proportional, then the triangles are similar.
SSS Similarity Theorem
If a segment bisects an
angle of a triangle, then it
divides the opposite side
into segments
proportional to the two
sides
Triangle Angle Bisector Theorem(TABT)
