Ab and pq are parallel lines. cr and ds intersect the two lines as shown in figure. which statement is true about cr and ds

CR=DS

Step-by-step explanation:

We are given AB || PQ. CR and DS are perpendicular to line AB.

So, CR and DS are two perpendicular line between two parallel line.

As we know distance between two parallel line is constant at all point

CR is distance of two parallel line AB || PQ

DS is also distance of same parallel line AB||PQ

Therefore, CR must be equal to DS.

Thus, CR=DS is true statement.

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.