Question 1

平行四邊形中，若有一角為$60^{\circ}$，則下列何者應該為其它3個角的度數？

Accepted Answer

$120^{\circ}$、$60^{\circ}$、$120^{\circ}$

Answer

$30^{\circ}$、$60^{\circ}$、$30^{\circ}$

Answer

$150^{\circ}$、$60^{\circ}$、$150^{\circ}$

Answer

$120^{\circ}$、$120^{\circ}$、$120^{\circ}$

Question 2

平行四邊形ABCD中，若 $\angle A = \angle B + \angle D$，則$\angle C $ = ？

Accepted Answer

$120^{\circ}$

Answer

$100^{\circ}$

Answer

$150^{\circ}$

Answer

$144^{\circ}$

Question 3

平行四邊形ABCD中，$\angle A$ 比 $\angle B$的度數多$70^{\circ}$，則$\angle B$=？

Accepted Answer

$55^{\circ}$

Answer

$65^{\circ}$

Answer

$50^{\circ}$

Answer

$60^{\circ}$

Question 4

平行四邊形ABCD中，$\angle A=(8x+10)^{\circ}$，$\angle B=(3x+5)^{\circ}$，則$\angle C$=？

Accepted Answer

$130^{\circ}$

Answer

$50^{\circ}$

Answer

$120^{\circ}$

Answer

$60^{\circ}$

Question 5

已知四邊形ABCD為平行四邊形，若$\angle A=30^{\circ}$，$\overline{AB}=5$，$\overline{AD}=4$，則此平行四邊形的面積為多少？

Accepted Answer

10

Answer

15

Answer

20

Answer

5

Question 6

一雙對邊平行，且另一雙對邊等長的四邊形必為下列何者？

Accepted Answer

無法判斷

Answer

長方形

Answer

平行四邊形

Answer

梯形

Question 7

下列有關平行四邊形的性質，何者錯誤？

Accepted Answer

對角線平分對角

Answer

對角相等，鄰角互補

Answer

任一對角線將此四邊形分成兩個全等的三角形

Answer

對邊平行且等長

Question 8

平行四邊形ABCD的周長為164，$\overline{AB}$ 比 $\overline{BC}$ 的 3 倍少10，則$\overline{AB}$=？

Accepted Answer

59

Answer

53

Answer

49

Answer

43

Question 9

在平行四邊形ABCD中，$\angle A=(5y-2)^{\circ}$，$\angle B=4x^{\circ}$，$\angle D=32^{\circ}$，則 x+y 之值為何？

Accepted Answer

38

Answer

36

Answer

35

Answer

37

Question 10

下列各選項的敘述，何者可能不是平行四邊形？

Accepted Answer

一組對邊平行，另一組對邊等長的四邊形

Answer

兩組對邊相等的四邊形

Answer

兩組對角相等的四邊形

Answer

兩條對角線互相平分的四邊形

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