Leon drew triangle abc and triangle def so that angle a is congruent to angle d, andgle b is congruent to angle e, ab = 4, and de = 8. are triangle abc and triangle def similar? if so, identify the similarity postulate or theorem that applies.

The correct option is D

Step-by-step explanation:

Given triangle ABC and triangle DEF so that ∠A≅∠D, ∠B≅∠E, AB = 4, and DE = 8. we have to tell the similarity theorem or postulate that applies to prove above triangles congruent.

In ΔABC and ΔDEF

∠A=∠D    (Given)

∠B=∠E     (given)

Two angles are congruent

Hence, by AA similarity postulate which states that if the two corresponding angles of two triangles are congruent they are similar i.e ΔABC~ΔDEF

Hence, The correct option is D

solution:

as, mean is defined as sum of all the observations divided by total number of observations.

and , median is mid value of the data whether arranged in ascending order or descending order.

consider, roadsters:

2,3,4,5,6,7,8,9

mean =

also, median= , because number of observations is even, so median is mean of two mid values.

now, coming to bandits

2,3,4,5,6

mean =  

median = 4, as number of observations is odd.

so, roadsters has greater median as well mean than bandits.

→option a is true about the repairs performed on 2 types of cars:

bandits have lower median and mean than roadsters.