If a series of rigid transformations maps ∠E onto ∠B where ∠E is congruent to ∠B, then which of the following statements is true
1 answer:
The statement that will be true about the rigid transformations would be: C. ΔABC ~ ΔFDE because of the AA similarity postulate
<h3>What is the AA Similarity Theorem?</h3>The AA Similarity Theorem states that when two angles in one triangles are congruent to two corresponding angles in another triangle, therefore, both triangles can be proven to be similar triangles.
In the diagram given as attached below, ΔABC and ΔFDE have two congruent corresponding angles:
- ∠D ≅ ∠A (right angles)
- ∠E ≅ ∠B
Therefore the statement that will be true about the rigid transformations would be: C. ΔABC ~ ΔFDE because of the AA similarity postulate
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Answer:
Step-by-step explanation:
The tick marks you see on the sides denote congruence. If they have the same number of tick marks, then their side length are congruent.
And, recall that congruent side lengths have the same measure.
So, look at the sides with 2 tick marks. They are congruent. Therefore:
Subtract x from both sides:
Subtract 5 from both sides:
So, x is 7.
Now, look at the sides with only 1 tick mark. Again, they are congruent. Thus:
We already know x is 7. So:
Add:
Add 4 to both sides:
So, y is 16.