1. Rotate ABC 180° about the origin making DEF. List all congruent sides and angles:
1 answer:
Answer:
<h3> ∠ABC≅∠DEF </h3><h3> ∠BCA≅∠EFD </h3><h3> ∠CAB≅∠FDE </h3><h3> AB≅DE, BC≅EF, CA≅FD</h3>Step-by-step explanation:
To rotate point A 180° about the origin (point O) we draw a line from that point (A) throu the origin, measure the distance from the point A to the origin, and then measure the same distance on the other side of the origin to get rotated point. Mark it. The angle at the rotated point will be congruent to ∠A
The same goes for points B and C
Angles at pair of given and rotated point are congruent.
Sides of triangle are congruent if they lay between two congruent angles.
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In the Triangle ABD, Using Pythagoras theorem we can write
In the Triangle ACD using Pythagoras Theorem
Now in the larger Triangle ABC, we can write
Now substitute the values from the above equations we get
