Geometry Test (Ratios & Proportion)
All you need to prove two triangles are congruent is to have (7.2)
2 congruent angles to the corresponding triangle angles
To solve a proportion you (7.1)
Cross Multiply
To solve a quadratic equation you can use (7.1)
Foil method
To find if two polygons are similar you (7.2)
Identify congruent angles and sides. Then divide the sides by the opposite congruent side (measure) and simplify.
To find a ratio of two points on a graph you use (7.1)
Midpoint formular
To find the length of a side you let 'x' be used as a **4:7:5 , 4x + 7x + 5x = 96** (7.1)
Multiplier
The ratio of their AREAS is equal to the _________________ of the ratio corresponding sides. (EX: Sides of two similar triangles 3:5 what is the ratio of the area?
SQUARE (²) (EX: 9:25)
Figures that are similar ( ~ ) have the same shape but NOT the same (7.2)
Size
To solve a quadratic equation when left with three numbers you find 2 numbers that
add to the middle number and multiply to the last one.
Define ratio
compares two numbers by division
Two polygons are similar polygons if and only if their (7.2)
corresponding angles and corresponding side lengths are proportional.
The ratio of their volumes is equal to the ______________ of the ratio of their corresponding sides. (EX: Sides of two similar triangles are in the ratio of 2:3, find the ratio of the volumes)
cube (³) (EX: 8:27)
Define proportion
is an equation stating that two ratios are equal.
The perimeters of two similar triangles are also
proportional
If two polygons are similar, their corresponding sides, altitudes, medians, diagonals, angle bisectors and perimeters are all in the (EX: Sides of two similar triangles are in the same ratio 4:9, what is the ratio of the perimeter?)
same ratio (EX: 4:9)
If you multiply a variable by a variable that variable becomes (7.1)
squared
In a ratio the denominator can NOT be a zero because division by zero is (7.1)
undefined
