6. Are the two triangles similar? How do you know? (1 point)
no
yes; by AA ~**
yes; by SAS ~
yes; by SSS ~
does anyone have the rest of the unit test answers?
To determine if the two triangles are similar, we can use the different similarity postulates. There are three postulates: AA (angle-angle), SAS (side-angle-side), and SSS (side-side-side).
1. If you selected "no," then you believe the triangles are not similar. This means they do not have corresponding angles that are congruent or corresponding sides that are proportional in length. You might have observed this by directly comparing the corresponding angles or sides and found that they do not meet the criteria for similarity.
2. If you selected "yes; by AA ~," then you believe the triangles are similar based on the AA postulate. According to the AA postulate, if the corresponding angles of two triangles are congruent, then the triangles are similar. Therefore, if you have identified that the corresponding angles in the two triangles are congruent, then the triangles are similar.
3. If you selected "yes; by SAS ~," then you believe the triangles are similar based on the SAS postulate. According to the SAS postulate, if two corresponding sides of two triangles are proportional in length, and the included angle between them is congruent, then the triangles are similar. So, if you have identified that the corresponding sides are proportional and the included angle is congruent, then the triangles are similar.
4. If you selected "yes; by SSS ~," then you believe the triangles are similar based on the SSS postulate. According to the SSS postulate, if the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar. Therefore, if you have identified that the corresponding sides of the two triangles are proportional, then the triangles are similar.
In summary, to determine if two triangles are similar, you need to compare their corresponding angles and/or sides based on the AA, SAS, or SSS postulate.
However, in this case, if two of the angles are congruent, then they all are, so you would be correct.
SAS and SSS prove congruency, not just similarity.