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Honors Geometry > Triangle Unit > Flashcards

Triangle Unit Flashcards

1
Q

How do you name a triangle?

A

With the symbol for triangle (∆) and the 3 vertices in any order

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2
Q

What do we call a triangle with no sides congruent?

A

Scalene

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3
Q

What do we call a triangle with 2 congruent sides?

A

Isosceles

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4
Q

What do we call a triangle with all 3 sides congruent?

A

Equilateral

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5
Q

An equilateral triangle is automatically what?

A

Equiangular

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6
Q

What does equiangular mean?

A

All the angles are congruent

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7
Q

What do we know about the angles in an equilateral triangle?

A

All have measure 60º

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8
Q

What do we know about the angles in an isosceles triangle?

A

Base angles are congruent

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9
Q

The angle measures in any triangle add up to what?

A

180º

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10
Q

What are the classifications of triangles based on its angles?

A

Acute, right, obtuse

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11
Q

Define obtuse triangle.

A

A triangle with an obtuse angle

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12
Q

Define right triangle.

A

A triangle with a right angle

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13
Q

Define acute triangle.

A

A triangle with all acute angles

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14
Q

The acute angles in a right triangle are what?

A

Complementary

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15
Q

How do you draw an exterior angle?

A

Extend one side of the triangle. The angle is made by the extension and side of the triangle

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16
Q

The measure of the exterior angle is the same as what?

A

The sum of the measures of the remote interior angles

17
Q

What is a median of a triangle?

A

A line segment from the vertex to the midpoint of the opposite side

18
Q

What should you mark whenever you have a median?

A

Congruent segments

19
Q

What is an altitude of a triangle?

A

A line segment from a vertex that is perpendicular to the opposite side

20
Q

What should you mark whenever you have an altitude?

A

Right angles

21
Q

What is special about the altitudes in a right triangle?

A

The 2 legs are also altitudes

22
Q

What is special about the altitudes in an obtuse triangle?

A

The 2 altitudes from the acute angles go outside the triangle

23
Q

What is special about the altitude from the vertex angle in an isosceles triangle?

A

It is also a median and angle bisector

24
Q

What is special about the altitudes in an equilateral triangle?

A

They are all also medians and angle bisectors

25
Q

Define a midsegment of a triangle.

A

A line segment connecting the midpoints of 2 sides of the triangle

26
Q

What are the two properties for a midsegment of a triangle?

A

It is parallel to the 3rd side and half the length of the 3rd side

27
Q

What should you mark when you have a midsegment?

A

Parallel lines, congruent corresponding angles from the parallel lines, congruent segments from the midpoints

28
Q

What is the definition of two congruent triangles?

A

Two triangles with all the corresponding sides congruent and all the corresponding angles congruent

29
Q

What are the methods to prove any 2 triangles congruent?

A

SSS, SAS, ASA, AAS

30
Q

What are the extra methods to prove two right triangles congruent?

A

LL, LA, HA, HL

31
Q

Which of the four methods of proving right triangles congruent is most important, and why?

A

HL because it is the only method that does not correspond to one of the methods that can prove ALL triangles congruent

32
Q

What does CPCTC mean?

A

Corresponding Parts of Congruent Triangles are Congruent

33
Q

In a triangle, which angle must be the largest?

A

The one opposite the largest side

34
Q

In a triangle, which angle must be the smallest?

A

The one opposite the smallest side

35
Q

In a triangle, which side must be the largest?

A

The one opposite the largest angle

36
Q

In a triangle, which side must be the smallest?

A

The one opposite the smallest angle

37
Q

The sum of the lengths of the smallest 2 sides of a triangle must be what?

A

Greater than the length of the 3rd side

38
Q

If 2 sides of a triangle have lengths x and y, what are all the possible lengths for the 3rd side?

A

| x – y | < 3rd side < x + y

x – y | < 3rd side < x + y

Honors Geometry (12 decks)

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