true or false
2007-05-01 13:54:38 · 7 answers · asked by lion 1 in Science & Mathematics ➔ Mathematics
TRUE. In order for two polygons to be similar, ALL the corresponding sides and angles of the two polygons MUST BE proportional. This means that, if you can show that all the corresponding sides of two polygons are proportional, then it is proved that the two polygons are similar (but not idenitcal).
2007-05-01 13:57:10 · answer #1 · answered by عبد الله (ドラゴン) 5 · 0⤊ 0⤋
Yes, this is true, but I should point out that while this is a necessary condition, it is not a sufficient condition. Consider the quadrilaterals (0, 0), (1, 2), (2, 0), (1, 1) and (0, 0), (1, 2), (2, 0), (1, -1). In this case, the corresponding sides are actually congruent, but the polygons are not similar.
2007-05-01 14:05:01 · answer #2 · answered by Pascal 7 · 1⤊ 0⤋
true. proportional means that one number is an interval of another i.e. a triangle that is 2 X 4 X 6 is proportion to 6 X 12 X 18 (2*3=6 & 4*3=12 & 6*3=18)
2007-05-01 14:01:11 · answer #3 · answered by KerryK 4 · 0⤊ 0⤋
just as long as each corresponding side has the same ratio as all of the other sides, then yes
2007-05-01 13:57:23 · answer #4 · answered by Sabby 2 · 0⤊ 1⤋
A scale element represents the ratio of corresponding aspects in comparable figures. (scale element)^2 => area ratio (scale element)^3 => quantity ratio ........................................... (4/7)^2 = sixteen / 40 9
2016-12-10 16:50:09 · answer #5 · answered by ? 3 · 0⤊ 0⤋
true
2007-05-01 13:59:44 · answer #6 · answered by ali o 1 · 0⤊ 0⤋
true
2007-05-01 13:58:43 · answer #7 · answered by Mr. Awesome 2 · 0⤊ 0⤋