The figure below shows a parallelogram ABCD. Side AB is parallel to side DC, and side AD is parallel to side BC:

A quadrilateral ABCD is shown with the two pairs of opposite sides AD and BC and AB and DC marked parallel . The diagonal are l

A student wrote the following sentences to prove that the two pairs of parallel opposite sides of parallelogram ABCD are congruent:

For triangles ABD and CDB, alternate interior angles ABD and CDB are congruent because AB and DC are parallel lines. Alternate interior angles ADB and CBD are congruent because AD and BC are parallel lines. DB is congruent to DB by transitive property. The triangles ABD and CDB are congruent by ASA postulate. As corresponding parts of congruent triangles are congruent, AB is congruent to DC and AD is congruent to BC by CPCTC.

Which statement best describes a flaw in the student's proof? (1 point)

Select one:

a. Angles ADB and CBD are congruent because they are corresponding angles.

b. Angles ADB and CBD are congruent because they are vertical angles.

c. DB is congruent to DB by reflexive property.

d. DB is congruent to DB by associative property.

c. DB is congruent to DB by reflexive property.

Step-by-step explanation:

The only mistake is in stating "DB is congruent to DB by transitive property."

The transitive property is:

If a = b, and b = c, then a = c.

Here we only have DB = DB, so there is no case of the transitive property being used.

The reflexive property states

a = a

in other words, something is equal to itself.

To state that DB is congruent to DB is stating something is congruent to itself, so you need the reflexive property, not the transitive property.

c. DB is congruent to DB by reflexive property.

1: -2 3/4, -2 1/2, -14, 0, 3, 8 1/3

2: -4, -3, -2 1/2, -2 1/4, 3 1/4,

step-by-step explanation:

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!