图形 X 是一个梯形,图形 Y 是一个平行四边形。下列哪一对陈述是正确的?

它不会直接告诉你答案,而是问你卡在哪一步看看 AI 是怎么陪你一步步弄懂这道题的
完整解法
15
1. Evaluate Option (1)
Option (1) states that Figure X has opposite sides that are parallel. Figure X is a trapezium, which has only one pair of parallel sides (top and bottom), not both pairs. Figure Y is a parallelogram, which does have opposite sides parallel. Since the statement for Figure X is false, Option (1) is false.
2. Evaluate Option (2)
Option (2) states that Figure X has one pair of perpendicular lines. Figure X has a vertical left side and a horizontal bottom side, meeting at , which is marked with a right angle. Thus, it has one pair of perpendicular lines. It also states Figure Y does not have any pair of perpendicular lines. Figure Y is a slanted parallelogram with no right angles. Both statements are true, so Option (2) is true.
3. Evaluate Option (3)
Option (3) states for Figure X. Since the top and bottom sides are parallel, the interior angles on the same side of the transversal sum to , so is true. For Figure Y, it states . and are opposite angles in a parallelogram, so they are equal, not supplementary (unless it's a rectangle, which it isn't). Thus, Option (3) is false.
4. Evaluate Option (4)
Option (4) states for Figure X. This is true as they are interior angles between parallel lines. For Figure Y, it states . and are adjacent angles on the bottom side, which do not sum to (they are not interior angles between parallel lines; rather, or if is adjacent). Thus, Option (4) is false.
Option (2)
AI 分析,可能出错
用 AI 批改,圈出写错的那一步,并自动将你的薄弱点存入错题本,形成你的错因库。
同一知识点的其他题
- 1下图由 2 个正方形 ABCD 和 DEFG 组成。X 是 GD 上的一个点,Y 是 DE 上的一个点。BC = 7 cm,FE = 6 cm,且 XD = DY = YE。 求阴影部分的总面积。 未阴影部分占整个图形的几分之几?
- 2下方所示几何体的展开图是错误的。 写出该几何体的名称。 答:(a)___ 在展开图上,给一个不属于该几何体展开图的三角形面涂上阴影。
- 3在下图中,ABCD 是一个梯形,且 AD = BC。 根据所给信息,以下每个陈述要么是正确的,要么是错误的,要么是无法确定的。请在每个陈述对应的空格内打勾()以表示你的答案。 | 陈述 | 正确 | 错误 | 无法确…
- 4如图所示,WXYZ 是一个梯形,AXYB 是一个菱形。XBC 和 XAZ 是直线。WX // ZY,BC = BY,, 且 …
- 5下图显示了 12 个完全相同的正方形。最少需要在此图中添加多少个这样的正方形,才能使直线 成为对称轴?