Question

in adjoining figure;m is centre of the circle and seg AB is a diameter. seg AB is a diameter.seg MS~chord AD seg MT~chord AC ∆DAB~∆CAB. prove that: chord AD~chord AC​

Answer 1

Step-by-step explanation:

In the adjoining figure, M is the centre of the circle and seg AB is a diameter, seg MS ⊥ chord AD, seg MT ⊥ chord AC, ∠DAB ≅ ∠CAB.

i. Prove that: chord AD ≅ chord AC.

ii. To solve this problem which theorems will you use?

a. The chords which are equidistant from the centre are equal in length.

b. Congruent chords of a circle are equidistant from the centre.

iii. Which of the following tests of congruence of triangles will be useful?

a. SAS b. ASA c. SSS d. AAS e. Hypotenuse-side test. Using appropriate test and theorem write the proof of the above example.