问题1.使用方括号中给出的正确单词填写空格。
(i)所有圈子都是………………。 。 (全等/相似)
解决方案：
All circles are similar because they have radius in fixed proportion.
(ii)所有方格均为………………。 (相似/一致)
解决方案：
All squares are similar because the ratio of corresponding sides are equal.
(iii)所有………………..三角形都是相似的。 (等腰/等边线)
解决方案：
All Equilateral triangles are similar because the ratio of corresponding sides are equal.
(iv)具有相同边数的两个多边形是相似的，如果(a)它们对应的角度是………………和(b)它们对应的侧面是………………(相等/成比例)
解决方案：
Two polygons of the same number of sides are similar, if (a) their corresponding angles are equal and (b) their corresponding sides are proportional.
问题2。举两个不同的例子
(i)类似数字。 (ii)非相似数字。
解决方案：
(i) Similar figures.
- All rectangular boards are similar
- All circular rings are similar
(ii) Non-similar figures
- A notebook and a pen are non-similar
- A rectangle and a circle are non-similar.
问题3：说明以下四边形是否相似：
解决方案：
Both the figures are non-similar. For similarity, the corresponding angles should be equal and corresponding sides are in the same ratio. But in this figure ratio of corresponding sides (AB/PQ = AS/PS = DC/SR = CB/RQ = 3/1.5 = 2) but corresponding angles are not equal.