U1C2: Similar Figures

Question 1

similar polygons

Answer 1

if two polygons are similar, then their corresponding angles are congruent and the ratios of the lengths of their corresponding sides are equal

Question 2

perimeter and area of similar polygons

Answer 2

ratio of sides: a to b
ratio of perimeters: a to b
ratio of areas: a^2 to b^2

Question 3

triangle proportionality theorem

Answer 3

if a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally

Question 4

midsegment theorem

Answer 4

the midsegment connecting two sides of the triangle is parallel to the third side of the triangle and half the length of the third side

also

when all three midsegments are drawn, you make a smaller triangle, and the perimeter of that triangle is half the perimeter of the original triangle

Question 5

parallel proportionality theorem

Answer 5

if three or more parallel lines intersect two transversals, then they divide the transversals proportionally