In the diagram shown overline AD and intersect at point E. overline AB and overline CD are parallel . Given the segment length s hown in the picture, which of the following is the length overline AE
1) 11.25
2) 10.8
3) 10
4) 7.5
1 answer:
Answer:
11.25
Step-by-step explanation:
Since AB and CD are parallel, ∠D is congruent to ∠A and ∠C is congruent to ∠B. Therefore the two triangles are similar by the AA postulate. Now, the corresponding sides are in proportion
Since AE ↔ DE and AB ↔ CD
So, AE/CD = AB/CD
AE/5 = 9/4
AE = 9(5)/4
= 45/4 = 11.25
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