In which situations is the principle of cross-cutting relationships useful in determining relative age? check all that apply.

a fault breaks through sedimentary layers.
the formation of an intrusion in the earth’s surface.
igneous rock forms between sedimentary layers.
sedimentary layers form over millions of years in a lake bottom.
lava flows form on top of one another from several eruptions over time.

Answer:      

Formation of an intrusion in the earth’s surface and igneous rock that forms between sedimentary layers are examples of situations where the principle of cross cutting relationships is useful in determining relative age.

Explanation:

Cross cutting relationships principle in geology states that when a geographic feature cuts into another the feature that cuts into the other will be the younger feature. This principle is widely used in relative dating. There are several examples of such cutting features.

In case of a volcanic eruption sometimes the magma may push into the crevices and cracks of existing rocks.

When this magma cools down it solidifies to form igneous rocks and this igneous rock is example of geologic feature that cuts into another geologic feature. It can be called an intrusion. This igneous rock will be younger than the rock.