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Parallelogram V W Z X is shown. Point Y is at the bottom center of the shape. Lines are drawn from points V to X through point Y and from points W to Z through point Y. 4 triangles are formed by the lines. If VX = WZ = 40 cm and m∠ZVX = m∠XWZ = 22°, can ΔVZX and ΔWXZ be proven congruent by SAS? Why or why not? Yes, along with the given information, ZX ≅ ZX by the reflexive property. Yes, the triangles are both obtuse. No, the sides of the triangles intersect. No, there is not enough information given.

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Answer:

It's D: No, there is not enough information given.

Step-by-step explanation:

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The correct answer option D which is No, there is not enough information given.

What is parallelogram?

A parallelogram is a quadrilateral having four sides with two opposite sides parallel to each other. The sum of the angles suspended by all the four sides of the parallelogram is 360.

Using VX = WZ and m∠ZVX = m∠XWZ, we have a side and an angle. In order to prove the triangles congruent by SAS, we must have two sides and the angle between them. With the information we have now, we would have to have VZ = WX. However, we are not given that information.

We do have that ZX = ZX by the reflexive property, but this is not SAS, as the angle we have is not between the two sides.

Therefore correct answer option D which is No, there is not enough information given.

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https://brainly.com/question/970600

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