Based only on the information given in the diagram, which congruence theorems or postulates could be given as reasons why cde = opq

ANSWER

congruence theorems or postulates could be given the reasons CDE = OPQ

are option ( A), (D)

reason for the option ( A)

ASA congurence property

In this property one angle , one sides and one angle of the two triangles are equal.

In the ΔCDE and ΔOPQ

∠DEC = ∠PQO  ( given in the diagram )

CE = OQ      ( given in the diagram )

∠DCE =∠ POQ  ( given in the diagram )

ΔCDE ≅Δ OPQ

By using the ASA congurence property

Thus

ΔCDE = Δ OPQ

Reason of the option (D)

AAS congurence property

In this congurence property two angle and one sides of the two triangle are

equal.

In the  ΔCDE and ΔOPQ

∠DEC = ∠PQO  ( given in the diagram )

∠DCE =∠ POQ  ( given in the diagram )

CE = OQ      ( given in the diagram )

ΔCDE ≅Δ OPQ

By AAS congurence property

ΔCDE = Δ OPQ

Hence proved

LA AAS HL

Step-by-step explanation:

Have a nice day:)

27 + 13x + 15 = (x + 5)( =

step-by-step explanation:

27 + 13x + 15 = (x + 5)( = 27 + 13x + 15 = (x + 5)( = 27 + 13x + 15 = (x + 5)( =

x = 3 ± √(5+y)