Try this please, it's about a similarity between triangles and there's some rule I'm missing. Thanks
1 answer:
Check the picture below.
first off, often times some graphs say "not to scale", but sometimes that's accidental, sometimes is simply misleading, in this case is misleading.
since ∡ABC = ∡ACE, then the triangles look more or less like the ones in the picture on the right-hand-side.
and notice the red and green angle tickmarks, that simply means the triangles are similar by AA.
that said, we can use proportions, in this case from the large triangle's sides are atop and the small one's are at the bottom.
first off, often times some graphs say "not to scale", but sometimes that's accidental, sometimes is simply misleading, in this case is misleading.
since ∡ABC = ∡ACE, then the triangles look more or less like the ones in the picture on the right-hand-side.
and notice the red and green angle tickmarks, that simply means the triangles are similar by AA.
that said, we can use proportions, in this case from the large triangle's sides are atop and the small one's are at the bottom.
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Answer:
see the attachment
Step-by-step explanation:
1. Two angles that sum to 90° are <em>complementary</em>, whether they are adjacent or not. Angles LMN and NMP are also <em>adjacent</em>.
2. Vertical angles created by two distinct lines are <em>never adjacent</em>. The sides of the angles are created by the same lines, and the angles share a vertex, but there is no ray that is a side common to both angles.
3. Angle GMK is supplementary to angle JMG.
4. Vertical angles are congruent. See question 2.
5. See question 1.
