Chapter 5 1st Quiz Flashcards

1
Q

Scalene

A

No congruent sides

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2
Q

Isosceles

A

At least 2 congruent sides

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3
Q

Equilateral

A

All sides congruent

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4
Q

Acute

A

3 acute angles

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5
Q

Obtuse

A

1 obtuse angle

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6
Q

Right

A

1 right angle

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7
Q

Equiangular

A

All angles congruent

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8
Q

Equilateral is _____ isoceles

A

Always

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9
Q

Isosceles is ______ equilateral

A

Sometimes

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10
Q

△ΣT (Triangle Sum Theorem)

A

Sum measures of interior angles of a triangle is equal to 180 degrees

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11
Q

Exterior Angle Theorem (EAT)

A

The measure of exterior angles of a triangle is equal to the sum measure of two remote interior angles

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12
Q

Right Triangle Corollary

A

Acute angles of right triangles are complementary

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13
Q

How do you prove triangles are congruent?

A

Use the definition of congruent triangles.

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14
Q

Third Angle Theorem

A

If two angles of one triangle are congruent to two angles of another triangle, then third angles are also congruent.

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15
Q

Side-Angle-Side Theorem (SAS)
Official Definition

A

If two sides and included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the triangles are congruent.

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16
Q

SAS My Definition

A

If two triangles have equal two sides and one angle attached to the sides, then the triangles are congruent.

17
Q

SAS (remember this)

A

The angle has to be where the two known sides come together.

18
Q

Base Angle Theorem (BAT)
Official Definition

A

If two sides of triangles are congruent, then the angles opposite those sides are congruent.

19
Q

Converse Base Angle Theorem (CBAT)
Official Definition

A

If two angles of triangles are congruent, then the sides opposite are congruent.

20
Q

BAT
My definition

A

If two sides of a triangle are congruent, the angles opposite those sides are congruent.

21
Q

CBAT
My definition

A

If two angles of a triangle are congruent, the sides coming from those angles are congruent.

22
Q

Equilateral Triangle Corollaries

A

1) If a triangle is equal then equiangular
2) If a triangle is equiangular then equal
3) An equiangular triangular has 3 60 degree angles

23
Q

***CPCTC
Corresponding parts of congruent triangles congruent

A

The three things not named as congruent while using SAS can be shown as congruent
*Must use SAS to use CPCTC
*To use CPCTC you must know that the two triangles are congruent

24
Q

Solve for x and y using the sum of a triangle

A

The measures of a triangle equal 180 degrees. Use angle measures to solve as an equation.

25
Q

Solve for x and y using exterior angles

A

The opposite angles of a triangle equal the exterior angle of a triangle.

26
Q

Definition of the midpoint of a circle

A

All lines coming from the midpoint of a circle are congruent.