To find the measure of JM, we need to determine the value of M L and M J.
Given that ML = 7 and AB = BC = CD, we can determine the value of AB. Since AB = BC, and BC = CD, AB = CD.
Therefore, AB + BC + CD = 7.
Since AB = CD, we can rewrite this equation as AB + AB + AB = 7.
This simplifies to 3AB = 7.
Dividing both sides by 3, we find that AB = 7/3.
Since MJ and AB are corresponding segments, they are congruent.
Therefore, MJ = AB = 7/3.
So, the measure of JM is 7/3 or 2 1/3.
The correct answer is 7.
In the figure, the horizontal lines are parallel and AB = BC = CD. Find the measure of JM. The diagram is not drawn to scale.
Four horizontal, parallel lines are cut by two transversals. From top to bottom, the transversal on the left intersects the horizontal lines at points M, L, K, and J. From top to bottom, the transversal on the right intersects the horizontal lines at points A, B, C, and D. Line segment M L has a length of 7.
(1 point)
Responses
14
14
21
21
28
28
7
1 answer
6 answers