Congruence

Question 0

Independent statements

Answer 0

Don’t depend on anything else to prove it is what it is

Question 1

What triangle congruence cannot be trusted

Answer 1

SSA,ASS,AAA do not guarantee congruency

Question 2

Dependent statements

Answer 2

Depend on independent statements to prove it is what it is

Question 3

What happens if a shape is regular

Answer 3

All of it’s sides and interior angles are congruent

Question 4

Definition of a midpoint

Answer 4

Midpoint will divide one line into two equal parts

Question 5

Reflexive property

Answer 5

A line is equal to itself

DF is congruent to DF

Question 6

Addition property of equality

Answer 6

If equal quantities are added to equal quantities, the sums are equal
AB+BC=DC+CB

Question 7

Substitution

Answer 7

A quantity may be substituted for its equal in an expression
AB+BC=AC
DC+CB=DB
AB+BC=DC+CB-> AC=DB

Question 8

Segment addition

Answer 8

2 segments are added together to make a longer segment

AB+BC=AC

Question 9

Vertical angles are congruent

Answer 9

2 intersecting lines form 2 sets of vertical angles which are congruent to each other

Question 10

Supplements of angles are congruent

Answer 10

Adjacent angles will create 180° therefore if angles are proven congruent by a triangle congruence, then it’s adjacent angles will be equal as well

Question 11

Compliments of angles are congruent

Answer 11

Adjacent angles will create 90° therefore if angles are proven congruent by a triangle congruence, then it’s adjacent angles will be equal as well

Question 12

Linear pair

Answer 12

If two angles from a linear pair, then they are supplementary

Question 13

Base angle theory for isosceles triangles

Answer 13

If 2 sides of a triangle are congruent, then their base angles are congruent as well

Question 14

Base angle converse for isosceles triangles

Answer 14

If two sides of a triangle are congruent, then their opposite angles are congruent as well

Question 15

SSS TRIANGLE CONGRUENCE

Answer 15

If 3 sides of 1 triangle are congruent to 3 sides of another triangle then the triangles are congruent

Question 16

SAS TRIANGLE CONGRUENCE

Answer 16

If 2 sides and the included angle of 1 triangle are congruent to the sir responding parts of another triangle, then the triangles are congruent

Question 17

ASA TRIANGLE CONGRUENCE

Answer 17

If 2 angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent

Question 18

AAS triangle congruence

Answer 18

If 2 angles and the non included side of 1 triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent

Question 19

CPCTC

Answer 19

Corresponding Parts of Congruent Triangles are Congruent, usually comes after proof that two triangles are congruent

Question 20

Hypotenuse leg congruence for right triangles

Answer 20

Hypotenuse and 1 leg of right triangle are congruent to the corresponding parts of another right triangle, the two right triangles are congruent

Question 21

Leg leg congruence for right triangles

Answer 21

If the leg and leg of one right triangle are congruent to the corresponding parts of another right triangle, then the two right triangles are congruent

Question 22

Leg acute angle congruence for right triangles

Answer 22

If 1 leg and an acute angle of a right triangle are congruent to one leg and the corresponding acute angle of another right triangle, then the triangles are congruent

Question 23

Hypotenuse acute angle congruence right triangle

Answer 23

Hypotenuse and leg of right triangle are congruent to hypotenuse and corresponding leg of another right triangle then the triangles are congruent

Question 24

Corresponding angles

Answer 24

If 2 parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent

Question 25

Corresponding angles converse

Answer 25

If 2 lines are cut by a transversal and the corresponding angles are congruent the lines are parallel

Question 26

Alternate interior angles are congruent

Answer 26

If 2 parallel lines are cut by a transversal, then the alternate interior angles are congruent

Question 27

Alternate exterior angles are congruent

Answer 27

If two parallel lines are cut by a transversal, then the alternate exterior angles are congruent

Question 28

Alternate interior angles converse

Answer 28

If 2 lines are cut by a transversal and the alternate interior angles are congruent, then the lines are parallel

Question 29

Alternate exterior angles converse

Answer 29

If 2 lines are cut by a transversal and the alternate exterior angles are congruent, then the lines are parallel

Question 30

Transitive property

Answer 30

Bridge AB is congruent to CD CD is congruent to EF Therefore AB is congruent to EF

Question 31

What does SSA produce ?

Answer 31

Ambiguity not reliable ! Don't use