Answer:
1) AB=BC
2) m∠ABC=105∘
3) AB=8
4) BC=8
5) BC=2⋅AB
Explanation:
A rectangle has length 6 and height 4.
Which of these would tell you that quadrilateral ABCD is definitely not similar to this rectangle? Select all that apply.
1) AB=BC
2) m∠ABC=105∘
3) AB=8
4) BC=8
5) BC=2⋅AB
6) 2⋅AB=3⋅BC
Answer:
A rectangle is a quadrilateral (has four sides). Opposite sides of a rectangle are equal to each other and the diagonals bisect each other. Also, each of the angles in rectangle measure 90°.
1) AB = BC
Opposite sides of a rectangle are equal, hence AB is opposite to CD and BC is opposite to AD. Therefore:
AB = CD, BC = AD
AB ≠ BC
2) m∠ABC = 105°
Each of the angles in a rectangle measure 90°, therefore m∠ABC = 90°. m∠ABC ≠ 105°
3) AB = 8
AB might be the length or height of the rectangle, hence:
AB = 6 or AB = 4. AB ≠ 8
4) BC = 8
BC might be the length or height of the rectangle, hence:
BC = 6 or BC = 4. BC ≠ 8
5) BC = 2AB
If BC is the height = 4, BC ≠ 2AB
6) 2AB = 3BC
If AB is the length of the rectangle and BC is the height of the rectangle then:
2(6) = 3(4)
12 = 12
2AB = 3BC