Answer :
Answer:
No, not possible to tell that the two triangles, ΔABE and ΔEDC are similar
Step-by-step explanation:
Similarity criterion:
1. AAA similarity : two triangles are similar if all three angles in the first
triangle equal the corresponding angle in the second triangle
2. AA similarity : If two angles of one triangle are equal to the corresponding angles of the other triangle, then the two triangles are similar.
3. SSS similarity : If the corresponding sides of the two triangles are
proportional, then the two triangles are similar.
4. SAS similarity : In two triangles, if two sets of corresponding sides
are proportional and the included angles are equal then the two
triangles are similar.
Now in the two triangles ABE and EDC :
∠ABE = 100°
∠EDC = 100°
∠ABE = ∠EDC
But only one congruent angle does not not prove that the two triangles are similar.
Hence, NOTHING CAN BE SAID ABOUT THE nature of the triangle.
Answer:
a) yes, by AA criterion
Step-by-step explanation:
If two angles in a triangle are congruent to two angles in another triangle then the two triangles are congruent. ∠ABE ≈ ∠EDC since they have the same measure. ∠BEA ≈ ∠CED since they are vertical angles. Since two angles are congruent, then you can conclude yes, by AA criterion