Answer:
- Kyle is correct, the quadrilaterals are not similar
Step-by-step explanation:
Measure the corresponding sides and verify if the ratios are same or not.
Corresponding sides:
- AB and LM, BC and MN, CD and NO, AD and LO
The measures, using coorinates and the distance formula:
- AB = √(2-1)² + (4-3)² = √2
- LM = √(16-14)² + (4-6)² = √8 = 2√2
- BC = √(5-2)²+(5-4)² = √10
- MN = √(23-16)²+(2-4)² = √53
We can see the ratios of the two pairs are not same:
- AB/LM = 1/2
- BC/MN = √10/53
- 1/2 ≠ √10/53
We can state that Kyle is correct
