Part B You will now perform the construction of a tangent to a circle using modern tools. Open GeoGebra, and complete each step below. If you need help, follow these instructions for using GeoGebra.

1. Create a circle with a center at point A with a radius of your choice.

2. Now create a point outside of circle A, and label it point B. Draw a line segment connecting points A and B. Find the midpoint of line segment AB, and label it point C.

3. Using point C as the center, create a circle that passes through point A.

4. Circle A and circle C intersect at two points. Find these intersection points, and label them points D and E.

5. Draw rays from point B through point D and from point B through point E. Also, draw line segments connecting points A and D and points A and E.

Take a screenshot of your image, save it, and insert the image in the space provided.

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

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step-by-step explanation:

only 10/60 isn't equivalent

hope this : )