Answer:
1 : Hypotenuse leg (HL)
2: Angle side angle (ASA)
3: Side angle side (SAS)
Step-by-step explanation:
Given
See attachment for triangles
Required
Determine the congruence postulate
Figure (1):
From the attachment;
[tex]AC = BD[/tex] --- The hypotenuse
[tex]CB = CB[/tex] --- One other leg
Since the hypotenuse and one other leg of both triangles are congruent, then the postulate is: HL
Figure (2):
From the attachment, we have:
[tex]150^\circ = 150^\circ[/tex] --- Angle
[tex]15^\circ = 15^\circ[/tex] ---- Angle
The horizontal line that divides both triangles show that they have a congruent side.
Hence, the postulate is: ASA
Figure (3):
From the attachment, we have:
A pair of single marks (Side)
A pair of double marks (Side)
A pair of equal angles
Hence, the postulate is: SAS
