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question 3 of 10 based only on the information given in the diagram, wh…

Question

question 3 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.
\\( \square \\) a. ll
\\( \square \\) b. aas
\\( \square \\) c. sas
\\( \square \\) d. ha
\\( \square \\) e. hl
\\( \square \\) f. asa

Explanation:

Brief Explanations
  • AAS (Angle - Angle - Side): We have two right angles (equal), a pair of equal acute angles (as seen in the triangles), and a pair of equal sides (the sides opposite the equal acute angles).
  • HA (Hypotenuse - Angle): Since they are right - angled triangles (hypotenuse - angle congruence for right - angled triangles).

Answer:

B. AAS, D. HA