parallelograms/quads

def parallelogram

def parallelogram

2 sets of parallel sides

parallelogram properties

1. 2 sets of opp cong sides

2. 2 sets of opp cong angles

3. 1 set of opp cong parallel sides

4. consecutive angles are supp

5. diagonals bisect

6. each diagonal divides it into 2 cong triangles

rectangle props

equiangular, diagonals are cong

rhombus props

equilateral, diagonals are perp, diagonals bisect angles

square props

1. 2 sets of opp cong sides

2. 2 sets of opp cong angles

3. 1 set of opp cong parallel sides

4. consecutive angles are supp

5. diagonals bisect

6. each diagonal divides it into 2 cong triangles

7. equiangular,

8. diagonals are cong

9. equilateral,

10. diagonals are perp,

11. diagonals bisect angles

how to prove rectangle

1. equiangular

2. parallelogram + one right angle

3. parallelogram + cong diagonals

how to prove rhombus

1. equilateral

2. parallelogram + 2 cong consecutive sides

3. parallelogram + perp diagonals

4. parallelogram + one diagonal bisects an angle

5. one diagonal bisects both angles it touches

how to prove square

1. rectangle + cong consecutive sides

2. rhombus + one right angle

if a line segment ----- one side of a triangle and it is ----- to a second side it ---- the third side

bisects, parallel, bisects

midsegments

• bisects side 1

• bisects side 2

• parallel to side 3

• is 1/2 the length of side 3

if a segment bisects two sides of a triangle

its parallel to the third side

its 1/2 the length of the third side

if 3 parallel lines cut off cong segments on one transversal

then they cut off cong segments on every transversal

isosceles trapezoid

1. non para sides are cong

2. base angles are cong

3. diagonals are cong