1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
NISA [10]
4 years ago
14

Triangle ABC has been dilated to form triangle A'B'C'. If sides AB and A'B' are proportional, what is the least amount of additi

onal information needed to determine if the two triangles are similar? Angles B and B' are congruent, and angles C and C' are congruent. Segments AC and A'C' are congruent, and segments BC and B'C' are congruent. Angle C=C', angle B=B', and segments BC and B'C' are congruent. Segment BC=B'C', segment AC=A'C', and angles B and B' are congruent.
Mathematics
2 answers:
snow_tiger [21]4 years ago
4 0

Answer:

Its Angles B and B' are congruent, and angles C and C' are congruent.

Ede4ka [16]4 years ago
3 0
When considering similar triangles, we need congruent angles and proportional sides.

Hence
"Angles B and B' are congruent, and angles C and C' are congruent." is sufficient to prove similarity of two triangles.

"Segments AC and A'C' are congruent, and segments BC and B'C' are congruent." does not prove anything because we know nothing about the angles.

"Angle C=C', angle B=B', and segments BC and B'C' are congruent." would prove ABC is congruent to A'B'C' if and only if AB is congruent to A'B' (not just proportional).

"<span>Segment BC=B'C', segment AC=A'C', and angles B and B' are congruent</span>" is not sufficient to prove similarity nor congruence because SSA is not generally sufficient.

To conclude, the first option is sufficient to prove similarity (AAA)

You might be interested in
13% of a 12,000 acre forest is being logged how many acres will be logged
MrMuchimi
1,560 acres will be logged
7 0
3 years ago
Read 2 more answers
Two standard dice are rolled and their face values multiplied. What is the probability that the product is prime or ends in a 5?
icang [17]

Answer:

6/21

Step-by-step explanation:

1. First, check all the possible combinations for a pair of dice:

1-1

1-2 2-2

1-3 2-3 3-3

1-4 2-4 3-4 4-4

1-5 2-5 3-5 4-5 5-5

1-6 2-6 3-6 4-6 5-6 6-6

(Those are the numbers of the dice, separated by hyphons.)

2. Next, find out the products, since that is the info we need to go off of.

1

2 4

3 6 9

4 8 12 16

5 10 15 20 25

6 12 18 24 30 36

(those are all the products based on the same chart we saw above.)

3. Now, let's calculate the probability.

  • Find the amount of prime numbers. (1, 2, 3, 5) Looks like there are four total.
  • Find the amount of numbers that end in a five. (15, 25) There are two. I've skipped 5 because that is already on the list.
  • Find the total amount of numbers. There are 21 in our case.

4. There are 6 numbers that will satisfy our needs. (prime or ending in 5)

There are 21 total.

6/21

If you need decimal form, there is a

0.2857 chance.

Hope this helped.

8 0
4 years ago
Read 2 more answers
How much milk 10% of 10 lliters of milk
Oksi-84 [34.3K]

Answer:

1 liter of milk

Step-by-step explanation:

10%= 1/10

since the number we are taking 1/10 of <u>is</u> 10, we find one out of ten, which is of course 1.

5 0
3 years ago
Read 2 more answers
The price of a stock decrease by 19 and thin increase by 0
ZanzabumX [31]
So your answer would be x-19+0. Let x represent the original price of the stock.
7 0
4 years ago
. Roger uses his truck to plow parking lots when it snows. He wants to find a model to predict the number of service calls he ca
expeople1 [14]

Answer:

4.1 calls

Step-by-step explanation:

The number of calls (c) that Roger expects to get as a function of how many inches of snow fall (s), is described by the following linear model:

c(s)=0.8s+0.29

Therefore, when s = 4.7 inches, the number of service calls that Roger expects is:

c(4.7)=0.8*4.7+0.29\\c(4.7)=4.05\ calls

Rounding to the nearest tenth, Roger will get about 4.1 calls.

6 0
4 years ago
Other questions:
  • David invested $1000.00. What would that money grow to in 18 months with an interest rate of 6%?
    14·1 answer
  • 2 n ^ 2 + 5 n - 9 = 0
    13·1 answer
  • Dg has endpoints D(-1,8) and G(3,4). What are the cooridantes of its midpoint.
    8·1 answer
  • Find the sum: 564 + 3,598 = ?
    7·1 answer
  • Manny was given the equation (x+2)(x-17)=0 and asked to find the zeros. The solutions he came up with were x=2 and x=-17. Are hi
    11·1 answer
  • alina swims at a rate of 2.5 miles per hour. tailia is able to swim at a rate of 1.8 meters per second. which one swims faster
    8·1 answer
  • Riley invested $1000 in saving Spohn, if the bonds earn 6.5% interest and the compounded semi annually how much total Riley earn
    9·1 answer
  • An employee was hired at a wage of $12 per hour. After a raise, she now earns $13.17 per hour.
    8·2 answers
  • What is the constant for the following relationship? 24 = 2k<br>​
    10·1 answer
  • Anybody still buy Takara Tomy Beyblades???
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!