418,357 views
38 votes
38 votes
Is the diagram SSS or SAS or ASA or HL or HA or LL or LA or not enough information

Is the diagram SSS or SAS or ASA or HL or HA or LL or LA or not enough information-example-1
User Borgr
by
2.4k points

1 Answer

16 votes
16 votes

For option D,

it contains two right angle triangles

Two sides are equal

The angle between the two equal sides is a right angle

Thus, the triangles are congruent on the basis of SAS(Side angle side)

It can also be on the basis of LL(leg leg) because the two legs of one triangle are congruent to the two legs of the other triangle

For option E,

Two side of each triangle are equal

One angle of each triangle are equal

Thus, the triangles are congruent on the basis of SAS(side angle side) because two sides and the angles between them are congruent

For option F,

Each triangle is a right angle triangle

The two right angles for each triangle are equal

The two other angles for each triangle are equal

The hypotenuse of both triangles are also equal

The triangles are congruent on the basis of

HA(Hypotenuse side angle) because the two acute angles between the hypotenuse are congruent and the hypotenuse are also congruent

For option G,

Two sides and one angle in one trangle are congruent to two sides and one angle ins the other triangle. The triangles are congruent on the basis of SAS(side angle side)

For option H,

The right angle traingles are congruent on the bases of LA(Leg angle) because the two legs are congruent as well as the two acute angles(the vertically opposite angles)

User Patter
by
2.8k points