Geometry All Around Us

By: Paige Copenhaver

If the green lines are parallel, then what are the values of angles x and y?
If 1=70, then what is the value of the other angles?
What is the measure of 1 of the interior angles? Measure of 1 exterior angle?
What postulate would you use to prove these two triangles congruent?
Is this triangle possible? Explain why or why not.
If the pink lines are parallel, what is the relationship between angles 1 and 8?
What postulate would you use to prove these two triangles congruent?
Find all of the angles if angle 1=67.
Find x. What type of triangle is this?
What postulate would you use to prove the two triangles congruent?

Answers

#1: x=50 and y=130

#2 2= 110 and 3=70 and 4=110

#3 1 interior angle=135 and 1 exterior angle= 45

#4 SSS can be used to prove the two triangles congruent

#5 This triangle is not possible because 7+11 is not 28. The two smaller sides must add up to more than the longest side, or it is not a triangle. This triangle does not meet the requirements.

#6 Alternate exterior angles

#7 HL can be used to prove the two triangles congruent

#8 angle 2=113, angle 3=67, angle 4=113, angle 5=67, angle 6=113, angle 7=67, angle 8=113, angle 9=67, angle 10=113, angle 11=67, angle 12=113, angle 13=67, angle 14=113, angle 15=67, angle 16=113

#9 x=48 This triangle is an isosceles triangle because two of the angles are congruent.

#10 ASA because of the alternate interior angles, the sides, and then the vertical angles.

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