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Enter Class NameEnter Class Name > Geometry U1 (2 examples per question) > Flashcards

Geometry U1 (2 examples per question) Flashcards

To become fluent in constructions and other shapes.

1
Q

What is an acute angle?

A

An angle that is less than 90 degrees.

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2
Q

What is a right angle?

A

An angle that is 90 degrees.

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3
Q

What is an obtuse angle?

A

An angle that is greater than 90 degrees.

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4
Q

How can you remember the types of angles?

A

Using the acronym “ARO” (ARROW) -
A = acute (less than 90)
R = right (equals 90)
O = obtuse (is greater than 90)

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5
Q

What is an equilateral triangle?

A

A triangle that has equal side lengths and equal angles.

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6
Q

What is an isosceles triangle?

A

A triangle that has 2 equal side lengths and 2 equal angles.

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7
Q

What is a scalene triangle?

A

A triangle that has no equal sides and no equal angles.

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8
Q

What are the types of triangles?

A

Equilateral, isosceles, scalene

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9
Q

What are the types of angles?

A

Acute, right, obtuse

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10
Q

How can we remember the types of triangles?

A

Remember that the more letters in the word, the more equal the sides and angles are.

Equilateral (10) - all equal sides and angles
Isosceles (9) - 2 equal sides and angles
Scalene (7) - no equal sides or angles

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11
Q

What is a regular polygon?

A

A shape with all equal side lengths and equal angles.

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12
Q

What is a circle?

A

The collection of all the points that are the same distance from another point

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13
Q

What is a conjecture?

A

A guess that hasn’t been proved.

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14
Q

What is true about the endpoint of a perpendicular line bisector?

A

The endpoint is equidistant from the endpoints of the line that it bisects.

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15
Q

What does the word “equidistant” mean?

A

This is obvious. Equal distance.

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16
Q

WHAT SHOULD YOU DO BEFORE ANSWERING ANY QUESTION????? (PROVIDE 5 EXAMPLES)

A

READ THE DIRECTIONS!!!!!

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17
Q

What does “inscribed” mean?

A

If a shape is inside another figure.

Specifically, if a shape is inside a circle and all its vertices are touching that circle, then its inscribed.

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18
Q

What does “circumscribed” mean?

A

If a shape is outside a figure.

Specifically, if a circle is outside a shape and touches all its vertices.

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19
Q

How can you remember the difference between inscribed and circumscribed?

A

INscribed means that a shape is IN another. Circumscribed is the opposite.

If it has the letters “IN”, it’s inside. If it doesn’t, it’s outside.

20
Q

Should you assume that a line bisects another if that fact isn’t explicitly stated?

A

NO!!!

21
Q

Should you assume that an angle is a right angle if it doesn’t have the little square?

A

NO!!!

22
Q

What is the so called “radii principle” ? (I made that up teehee)

A

It’s when different lines are radii. This “principle” can be used to prove many different things.

23
Q

What is the height of an isosceles triangle?

A

It is its’ midpoint/perpendicular bisector and an angle bisector.

24
Q

What is important to remember when you are doing constructions?

A

YOU CAN COPY LINE SEGMENTS!!!

25
Q

What is a tangent?

A

When a straight line touches a circle at only one point.

26
Q

How can you find the equidistance of different dots?

A

You can find all their perpendicular line bisectors and look for the point where they all intersect.

27
Q

What is a tessellation?
How can you remember this?

A

It’s an arrangement of figures that covers an entire plane without gaps or overlaps.
You can remember this because of the “childhood Osmo example”

28
Q

What are skew lines?

A

They are lines that lay on different planes and don’t intersect.

29
Q

What are adjacent and vertical angles, and how can you remember this?

A

Adjacent angles are angles that share a midpoint and vertex. You can remember this because “adjacent” means next to each other, and this is exactly what the angles are.

Vertical angles are angles that share opposite rays. You can remember this because the word “vertical” isn’t the word adjacent, meaning they’re OPPOSITE (i tried)

30
Q

What is a linear pair? How can you remember this?

A

A pair of adjacent angles whose noncommon sides make a straight angle. You can remember this because it’s exactly what is sounds like - it’s linear.

31
Q

What are complementary and supplementary angles? How can you remember this?

A

Complementary angles are angles that add up to

32
Q

What is a circumcenter?
What is an incenter?
How can you remember these?

A

Circumcenter - the center of a shape that’s outside another
Incenter - the center of a shape that’s inside another

Remember these using the same methods to remember the words “circumscribed” and “inscribed”

33
Q

What is a centroid?
how can you remember this?

A

A centroid is the shape’s center of mass.
Basically, think “center of mass”. It’s the point you could balance the shape on your finger.

34
Q

What is an orthocenter?
How can you remember this?

A

An orthocenter is the intersection of all the angle bisectors.
I read somewhere that “ortho” means “straight”. Think of it as the OTHER type of intersecting straight lines that are NOT perpendicular bisectors.

35
Q

What is the height of an isosceles triangle?

A

It’s also its midpoint and angle bisector.

36
Q

what is a regular polygon?

A

A polygon with all equal sides and angles.

37
Q

How do you find a point that is equidistant from the 3 points?

A

You have draw lines between the points and find the intersection of all their perpendicular bisectors.

38
Q

What are the rigid transofmration notations, and how can you remember them?

Write down an example of each of the 4 rigid transofmation notations.

A

T = Translate (in add/sub form, vector form, and coordinate form)
R= Rotation (Bigger R, less letters) (both in degree form and points form)
r = reflection (Smaller R, less letters) (in one form only)

39
Q

On a graph with triangles, what’s the degree of each side of the larger hexagon?

A

60 degrees

40
Q

Differenfde between rotation and reflection symmetry?

A

tell me.

41
Q

How can you write ray/vector notation?

A

You can say “along ray x”, or “along ray x —> y”

42
Q

What should you do if you don’t know how to use a proof to prove something?

A

You should always either:
draw a transversal intersecting 2 parallel lines, or
remember your triangle congruence theorems

43
Q

Tell me the triangle congruence theorems.

A

tell me

44
Q

What does CPCTC mean?

A

Corresponding parts of a congruent triangle are congruent

45
Q

What should you do if youare having trouble with a proof? (this is super important)

A

You should start with the end, and you should mark everything on the diagram that is congruent.

46
Q

What should you look out for when trying to proive triangle congruence?

A

You should look out for any vertical angles, and any matching sides they have (that might make it look like a square/parallelogram)

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