Given: quadrilateral talk is a parallelogram. prove: ta congruent lk and al congruent kt

Proved by ASA congruence rule.

Step-by-step explanation:

Given the parallelogram TALK. We have to prove that TA is congruent to LK and AL is congruent to KT.

∵ TALK is a parallelogram,

AL is parallel to segment TK and TA is parallel to KL and Line TL is a transversal.

⇒ ∠1 ≅ ∠ 4 and ∠2 ≅ ∠ 3

In ΔTLK and ΔTLA

∠1 = ∠ 4      (∵Alternate angles)

∠2 = ∠ 3      (∵Alternate angles)

TL=TL          (∵Common)

By ASA rule, ΔTLK ≅ ΔTLA  

∴ By CPCT(Corresponding Parts of Congruent Triangles), TA ≅ LK and segment AL ≅ KT

Hence Proved

b

2

−

b

b

3

+

7

b

2

+

14

b

+

6

%

−

3

b

3

+

7

b

2

+

14

b

+

6

%

step-by-step explanation: