Back to Exercise: Lines: Parallel, Intersecting, and Skew Lines; Angle Relationships

Exercises: Lines, Parallel/Skew, and Angle Relationships

Give a named reason (corresponding, alternate, co-interior, vertically opposite, or linear pair) with every angle answer.

Grade 7·17 problems·~28 min·Uganda NCDC Primary 7 Mathematics·lesson·construction-01

Printable layout

Recall / Warm-Up

Review the basic line and angle facts before naming angle-pair relationships.

Angles on a straight line add up to how many degrees?

$90\degree$

$180\degree$

$360\degree$

Two lines lie in different planes, point in different directions, and never meet however far extended. What are they called?

Parallel lines

Skew lines — they eventually cross once extended far enough in three dimensions

Skew lines — they never meet and are not parallel, because they lie in different planes

Fluency Practice

$Four boxed diagrams showing parallel, intersecting, perpendicular, and skew line pairs$

Look at the four labeled line pairs in the figure. Which pair shows perpendicular lines?

Pair 3

Pair 1

Pair 2

You construct a line parallel to $AB$ at a fixed perpendicular distance of $4$ cm using a ruler and set square. What is the perpendicular distance, in cm, between the two lines once drawn?

$Two parallel lines cut by a transversal with eight numbered angles; angles 1 and 3 highlighted as vertically opposite$

In the numbered transversal figure, angles $1$ and $3$ face each other across the crossing point and share only the vertex. What relationship is this?

Corresponding angles

Co-interior angles

Vertically opposite angles

Two parallel lines are cut by a transversal. One angle measures $75\degree$ . What is the size of its co-interior angle?

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