Question

question 8 of 10
based only on the information given in the diagram, which congruence theorems or postulates could be given as reasons why \\( \triangle c d e \cong \triangle o p q \\)?
check all that apply.
a. aas
b. la
c. asa
d. sas
e. hl
f. ll

Explanation:

• AAS (Angle - Angle - Side):
• In right - angled triangles \(\triangle CDE\) and \(\triangle OPQ\), we have two angles (the right angles and the marked non - right angles) and a non - included side (the sides marked with one tick).
• LA (Leg - Angle):
• For right - angled triangles, if a leg (the side marked with one tick) and an acute angle (the non - right marked angle) of one right - triangle are equal to the corresponding leg and acute angle of another right - triangle, the triangles are congruent. This is a special case of AAS for right - triangles.

Answer:

A. AAS, B. LA