unit 7 ughhhh Flashcards
King Henry Died By/Monday Drinking Chocolate Milk
Kilo, Hecto, Deca, Base/Meter, Deci, Senti, Milli
The ratio of one number to another is-
-the quotient when the first number is divided by the second number. Usually in simplest form
Proportion
An equation stating that two ratios are equal
EX:
a/b = c/d and a:b = c:d
a is the first term, b is the second term, c is the third term, d is the forth term
Extremes
The first and last terms of a proportion
Means
The middle terms of a proportion
Means - Extremes Property
Cross multiplication
a/b = c/d is equivalent to-
-ad = bc
Properties of Proportions
Term for when you replace one proportion by an equivalent proportion
EX: a/b = c/d is equivalent to:
- ad = bc
- a/c = b/c
- b/a = d/c
- a+b/b = c+d/d
PRACTICE: a/b = 3/5.
5a=
3b
PRACTICE: a/b = 3/5.
5/b =
3/a
PRACTICE: a/b = 3/5.
a + b / b =
3 + 5/5 = 8/5
PRACTICE: a/b = 3/5.
5/3 =
b/a
Similar polygons
polygons with same shape but not necessarily the same sides
Two polygons are similar if their vertices can be paired so that (2)
a) corresponding angles are congruent
b) corresponding sides are in proportion
Scale factor
the ratio of the lengths of two corresponding sides
AA Similarity Postulate
If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar
CSSTP
Corresponding sides of similar triangles are proportional
SAS Similarity Theorem
If an angle of one triangle is congruent to an angle of another triangle and the sides including those angles are in proportion, then the triangles are similar
SSS Similarity Theorem
If the sides of 2 triangles are in proportion, then the triangles are similar
Triangle Proportionality Theorem
If a line parallel to one side of a triangle intersects the other two sides, then it divides those sides proportionally
If three parallel lines intersect two transversals,
then they divide the transversals proportionally.
Triangle angle-bisector Theorem
If a ray bisects an angle of a triangle, then it divided the opposite side into segments proportional to the other two sides
2(a+7)/6a+42
1/3
If 5:x = 9:3, then 9x =
15
Two congruent triangles are ___________ similar.
always
Two equilateral triangles are ___________ similar
always
