## KrystaRenee Which overlapping triangles are congruent by ASA? △ADC is congruent to △EBC △ABE is congruent to △CDA △ABE is congruent to △DEA △ADC is congruent to △EDA one year ago one year ago

1. KrystaRenee

2. iforgot

this is an isoc. triangle

3. iforgot

if you know the properties of an isoc. triangle this should be very easy

4. KrystaRenee

I don't..

5. KrystaRenee

Or at least I don't think I do.

6. iforgot

|dw:1355642163596:dw|

7. iforgot

|dw:1355642243860:dw| not to scale the line must be the perpendicular bisector

8. iforgot

if you place a 30 60 90 triangle and its mirror image you will get an isosceles triangle |dw:1355642488588:dw|

9. ganeshie8

there are no ticks for any sides in \(\triangle ABE\) , so strike off 2nd and 3rd options. only one of 1st or 4th options must be true

10. ganeshie8

also, there are no ticks for any sides in \(\triangle EDA \) ,so the answer is NOT the 4th option

11. ganeshie8

that leaves us with the first option, and we can do a quick check : \(\triangle ADC \cong \triangle EBC\) coz, \(\angle D = \angle B = 90\) \(DC \cong BC\) \(\angle C \cong \angle C\)