Triangle ABC is a right triangle. Point D is the midpoint of side AB and point E is the midpoint of side AC. The measure of angl
e ADE is 47°.
(refer to the attachment 1)
Which statement and reason can be used to fill in the numbered blank spaces?
Corresponding angles are congruent
Triangle Sum Theorem
Measure of angle AED is 43°.
Alternate interior angles are congruent
Base Angle Theorem
Measure of angle AED is 47°
Base Angle Theorem
Corresponding angle are congruent
Measure of angle AED is 43°.
Alternate interior angles are congruent
Triangle Sum Theorem
Measure of angle AED is 47°
(refer to the attachment 2)
(refer to the attachment 1)
Which statement and reason can be used to fill in the numbered blank spaces?
Corresponding angles are congruent
Triangle Sum Theorem
Measure of angle AED is 43°.
Alternate interior angles are congruent
Base Angle Theorem
Measure of angle AED is 47°
Base Angle Theorem
Corresponding angle are congruent
Measure of angle AED is 43°.
Alternate interior angles are congruent
Triangle Sum Theorem
Measure of angle AED is 47°
(refer to the attachment 2)
1 answer:
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This is one pathway to prove the identity.
Part 1
Part 2
Part 3
As the steps above show, the goal is to get both sides be the same identical expression. You should only work with one side to transform it into the other. In this case, the left side transforms while the right side stays fixed the entire time. The general rule is that you should convert the more complicated expression into a simpler form.
We use other previously established or proven trig identities to work through the steps. For example, I used the pythagorean identity in the second to last step. I broke the steps into three parts to hopefully make it more manageable.