Question

Select two relationships that would prove AABC ~ AHIJ by the SIDE-ANGLE-SIDE Similarity Theorem. AC АВ ВС АС АВ HI ВС HT ZA ZA ZB ZH НJ HI IJ HЛ

Answer 1

AB/HI = AC/HJ (option A)

∠A ≅ ∠H (option C)

Explanation:

The side angle side (SAS) involves an angle in the middle of two sides.

AB/HI = AC/HJ

For it to be SAS theorem, the angle between the sides above have to be angle A and angle H respectively

AB/HI = BC/HJ

The corresponding sides of this sides is supposed to be:

AB/HI = BC/IJ

This option is wrong

Angle A congruent to angle H

The above can be a SAS theorem, if AB/AC = HI/HJ

BC/IJ = AC/HJ

For it to be SAS theorem, the angle between the sides above have to be angle C and angle J respectively.

Angle B and angle H are not corresponding angles.

Hence, the two correct options are:

AB/HI = AC/HJ (option A)

∠A ≅ ∠H (option C)