Question

Select the converse, inverse, and contrapositive of this theorem.

If two lines intersect, then the vertical angles formed are equal.

Answer 1

1. If the vertical angles are equal, then the two lines intersect. Contrapositive
2. If the two lines do not intersect, then the vertical angles are not equal. Inverse
3. If the vertical angles are not equal, then lines do not intersect. Converse

Answer 2

use this :-

statement : if p, then q
converse : if q, then p
inverse : if not p, then not q
contra : if not q, then not p

Answer 3

which is which ?

Answer 4

2. is correct.
1 & 3 are wrong.

Answer 5

Determine the truth value of the statement.

A triangle has three sides and a pentagon has five sides.

Answer 6

t/f

Answer 7

lets take one q at a time ok

Answer 8

u done wid first q ?

Answer 9

yep i got the first one

Answer 10

good :)

Answer 11

A triangle has three sides and a pentagon has five sides.

A triangle has 3 sides :- is it true ?
A pentagon has 5 sides :- is it true ?

Answer 12

so its true:D

Answer 13

yep ! AND is true only when both are true. since here both are true, the overall statement is true.

Answer 14

The sum of the angles of a triangle equals 180°, or a right triangle has two right angles.

Answer 15

The sum of the angles of a triangle equals 180° :- is this true ?
a right triangle has two right angles. :- is this true ?

Answer 16

isnt it 360 degrees?

Answer 17

no its 180 oly ;)

Answer 18

first statement is true

Answer 19

second statement is false cuz, a right triangle has only one right angle.

Answer 20

and a right trianle doesnt have two right angles

Answer 21

so its false

Answer 22

so we have this :

true OR false

Answer 23

an OR makes a statement true, if atleast one is true.

Answer 24

since first one is true, the over truth value is TRUE !

Answer 25

ohhhh but if its and then its false

Answer 26

*overall

Answer 27

Identify the following statements as conjunction, disjunction, negation, or conditional.

If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent.

Answer 28

what.. ?

Answer 29

its its "and" rather then "or" then the answer would be false

Answer 30

if it was *

Answer 31

if , then = conditional
and = conjunction
or = disjunction

Answer 32

yep ! you're absolutely right :)

Answer 33

If three sides of one triangle are equal to three sides of another triangle, then the triangles are congruent. = conditional

Answer 34

conditional?

Answer 35

since we see if, then. we conclude its a conditional.

Answer 36

oh saweet

Answer 37

:) since you doing logic.. i assume you're at the end of your course

Answer 38

A triangle has three sides and a pentagon has five sides. and yes i am but i learnd this stuff like way back at the begiining

Answer 39

ok,

AND = conjunction

Answer 40

use below for qs like these :-
if , then = conditional
and = conjunction
or = disjunction

Answer 41

okay thanks

Answer 42

np good luck wid the final exam :)

Answer 43

1. If the alternate interior angles are equal, then the two lines are parallel. Converse
2. If the lines are not parallel, then the alternate interior angles are not equal. Contrapositive
3. If the alternate interior angles are not equal, then the lines are not parallel. Inverse

Answer 44

whats the q

Answer 45

thank you very much i appreciate it

Answer 46

its a matching one

Answer 47

where is the statement

Answer 48

If two lines are parallel, then the alternate interior angles are equal.

Answer 49

only 1 is correct. you must be having other options in the match list. post them also.

Answer 50

no thats it

Answer 51

1. If the alternate interior angles are equal, then the two lines are parallel. Converse
2. If the lines are not parallel, then the alternate interior angles are not equal. Inverse
3. If the alternate interior angles are not equal, then the lines are not parallel. Contrapositive

Answer 52

thats the correct order

Answer 53

ok i gotta go... cya

Answer 54

okay thank you by:)