Question

ABDE is an isosceles trapezoid.Select all pairs of congruent triangles.1. Triangle ABE and triangle DBE2. Triangle ABD and triangle DAE3. Triangle ABE and triangle BAD4. Triangle AED and triangle BDE5. Triangle EAB and triangle EDB

Answer 1

3. Triangle ABE and triangle BAD

4. Triangle AED and triangle BDE

Step-by-step explanation

in any isosceles trapezoid, two opposite sides (the bases) are parallel, and the two other sides (the legs) are of equal length . The diagonals are also of equal length.also When all three sides are equal to each other on both triangles, the triangle is congruent

so

Step 1

1. Triangle ABE and triangle DBE

so, option 1 is Not true

Step 2

2. Triangle ABD and triangle DAE

so, option 2 is Not true

Step 3

3. Triangle ABE and triangle BAD

we can see both triangles have the same base and the same longest side ( diagonal of the trapezoid), so

Options 3 is TRUE



4. Triangle AED and triangle BDE

we can see both triangles have the same base and the same longest side ( diagonal of the trapezoid), so

Options 4 is TRUE

Step 4

finally



so, option 5 is Not true

therefore, the answer is

3. Triangle ABE and triangle BAD

4. Triangle AED and triangle BDE

I hope this helps you