Question

question 9(multiple choice worth 1 points) (04.01 mc) figure abcd is a parallelogram. if point c lies on the line x = 2, what is the y - value of point c?

Explanation:

Step1: Recall property of parallelogram

In parallelogram ABCD, AB is parallel to DC and AD is parallel to BC. The vertical - distance between AB and DC is constant.

Step2: Analyze vertical positions

The y - coordinate of point A is 2 and the y - coordinate of point D is - 1. The length of AD in the vertical direction is \(2-(-1)=3\). Since AB is parallel to DC, the vertical distance between A and B is the same as the vertical distance between D and C. Point B has a y - coordinate of 3. The vertical distance from A to B is \(3 - 2=1\). So, the y - coordinate of C is \(3-1 = 2\) (because the vertical relationship between the sides of the parallelogram is consistent).

Answer:

2