Question

Given that ∠A≅∠B , Gavin conjectured that ∠A and ∠B are complementary angles.

Which statement is a counterexample to Gavin 's conjecture?

A. m∠A=25° and m∠B=25°

B. m∠A=30° and m∠B=60°

C. m∠A=45° and m∠B=45°

D. m∠A=10° and m∠B=15°

Answer 1

@Vocaloid

Answer 2

complementary: angles that add up to 90

so see which answer choice does not add up to 90

Answer 3

A) m∠A=25° and m∠B=25°

Answer 4

good

does it let you pick more than 1? because D also works (10+15 =/= 90)

Answer 5

OK so the answer is A or D

Answer 6

make sure to check the original question, you may have a typo

Answer 7

1) ∠A≅∠B, means that the two angles are congruent, this is they have the same measure.

2) Two angles are complementary angles if they sum up 90°.

Answer 8

if all the answer choices are as you stated, then just pick A I guess

Answer 9

Which answers are examples of inductive reasoning?

Select each correct answer.


A. John saw wild turkeys in his yard during the past 3 years. He will see wild turkeys in his yard next year.

B. All right triangles have a 90° angle. Triangle ABC is a right triangle. Therefore, triangle ABC has a 90° angle.

C. Mrs. Smith notices that the first 10 students who enter her class are female. Therefore, she expects that all the students in her class will be female.


D. The cinema charges $5 to see a movie. Four friends are going to the cinema to see a movie. Therefore, altogether they will pay $20 to see the movie.

Answer 10

any ideas? as a hint inductive reasoning starts with one, specific example, and uses it to make a generalization

Answer 11

A and C

Answer 12

good

Answer 13

After observing this pattern, Guido made a conjecture for the next shape in the pattern.

https://static.k12.com/nextgen_media/assets/8121301-NG_GMT_B_01_U02_Quiz_DP100_428_001.png

Which shape was most likely his conjecture for the next shape?

A. https://static.k12.com/nextgen_media/assets/8121305-NG_GMT_B_01_U02_Quiz_DP100_428_001_D.png

B. https://static.k12.com/nextgen_media/assets/8121303-NG_GMT_B_01_U02_Quiz_DP100_428_001_B.png

C. https://static.k12.com/nextgen_media/assets/8121302-NG_GMT_B_01_U02_Quiz_DP100_428_001_A.png

D. https://static.k12.com/nextgen_media/assets/8121304-NG_GMT_B_01_U02_Quiz_DP100_428_001_C.png

Answer 14

any ideas? try to notice the pattern. notice how the grey rectangle shifts 1 unit to the left each time, then wraps around and keeps going left

Answer 15

B

Answer 16

is that correct ?

Answer 17

IS IT ?

Answer 18

yeah sorry