Select the correct answer from each drop-down menu.
∆ABC has vertices at A(12, 8), B(4, 8), and C(4, 14).
∆XYZ has vertices at X(6, 6), Y(4, 12), and Z(10, 14).
∆MNO has vertices at M(4, 16), N(4, 8), and O(-2, 8).
∆JKL has vertices at J(14, -2), K(12, 2), and L(20, 4).
are congruent. A is a single rigid transformation that maps the two congruent triangles.

yes they are the same

large crystals result from very slow cooling.

evaporation of water: this would produce an evaporite which is a sedimentary rock. like a salt pan in a desert. not possible to have volcanic rocks originate this way.

crystalization in molten earth: slow cooling over time. (hundreds to millions of years)

crystalization at earth's surface: this results in fast cooling. (a few hours to a few months or years)

crystalization from cooling off hot water: that would be a hydrothermal deposit. while associated with volcanics they are not volcanic rocks themselves and usually occur fairly rapidly.

the transitive property of equality.

step-by-step explanation:

the correct answer is:

the transitive property of equality.

explanation:

we know that  ∠bcd is congruent to  ∠pbc. we also know that  ∠pbc is congruent to  ∠bad.

we can substitute  ∠bad for  ∠pbc in the first angle congruence statement to give us:

∠bcd is congruent to  ∠bad.

algebraically, the transitive property states if a=b and b=c, then a=c. it basically allows us to substitute equal values. since that is what we did, this is the transitive property.

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