Angles in Parallel Lines Flashcards

1
Q

Angles that sum to 90 are called

A

complementary

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2
Q

Angles that sum to 180 are called ____

A

supplementary

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3
Q

Two angles on a straight line are called a ____

A

linear pair

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4
Q

Lines that never meet are called ____

A

parallel

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5
Q

Lines that meet at a right angle are called ____

A

perpendicular

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6
Q

A line that intersects (crosses) two or more other lines (often parallel lines) is called a ____

A

transversal

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7
Q

Parallel lines have so much in common!

It’s a shame that they will never ____

A

meet

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8
Q

These angles are ____ and they are ____

A

corresponding

equal / congruent

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9
Q

These angles are ____, they are ____

A

co-interior

supplementary (sum to 180)

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10
Q

These angles are ____, they are ____

A

alternate

equal / congruent

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11
Q

These angles are ____, they are ____

A

alternate exterior

equal / congruent

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12
Q

The interior angles of a triangle sum to ____

A

180 degrees

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13
Q

The interior angles of a quadrilateral add to ____

A

360 degrees

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14
Q

The interior angles of a pentagon add to ____

A

540 degrees

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15
Q

The exterior angles of any polygon sum to ____

A

360 degrees

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16
Q

A 2D shape is also known as a ____

A

plane figure (as in, a flat shape)

17
Q

A 2D shape with 3 or more straight sides and angles is called a ____

A

polygon (poly means “many”)

18
Q

Is a circle a polygon?

A

No, because it doesn’t have straight sides

19
Q

What is the same and what is different about these two shapes?

A

They both have five sides, so they are both pentagons

The one on the left is a regular pentagon because all the sides and angles are the same, and the one on the right is irregular, because they are not the same.

20
Q

What is the difference between these two polygons?

A

The one on the left is convex (all interior angles are less than 180) and the one on the right is concave (not all interior angles are less than 180)

21
Q

These angles are ____, they are ____

A

vertical angles / vertically opposite angles

equal / congruent

22
Q

angles that have a common vertex and a common side are called ____

A

adjacent angles

23
Q

What is the name of this rule?

What is the relationship between the a, b, and d?

A

It’s called the exterior angle theorem.

d = a + b

The exterior angle of a triangle is equal to the sum of the two opposite interior angles

24
Q

Name this angle

A

∠ABC or ∠CBA

25
Q

m∠ABC

how do you express this angle notation in words?

A

“the measure of angle ABC”

26
Q

It has no size or shape, no dimensions, just a position. What is it?

A

a point

27
Q

A straight path of points that has no beginning or end. What is it?

A

a line

28
Q

A portion of a line that has two endpoints. What is it?

A

a line segment

29
Q

A line that has one endpoint and extends forever in the other direction

A

a ray

30
Q

The point exactly in the middle of a line segment, exactly halfway between two points, is called a ____

A

midpoint

31
Q

Two kinds of geometry are displayed here. What is the difference and what are they called?

A

On the left is “plane geometry”, the geometry of 2D shapes

On the right is “solid geometry”, the geometry of 3D shapes

32
Q

when lines meet at a point to form an angle, we call that point ____

A

a vertex