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
chubhunter [2.5K]
3 years ago
8

If you wish to show that two triangles are similar, which statement(s) is correct? You may choose more than one correct answer.

Mathematics
2 answers:
Dmitriy789 [7]3 years ago
8 0

Answer:

The  statements which are correct are:

  • It is enough to show that two pairs of corresponding angles are congruent.
  • It is enough to show that all three pairs of corresponding sides are in the same ratio.

Step-by-step explanation:

If two triangles have two pairs of sides in the same ratio and the included angles are also equal, then the triangles are similar.

Two triangles are similar if they have:


  • all their angles equal
  • corresponding sides are in the same ratio

There are three ways to find if two triangles are similar: AA, SAS and SSS:

1)

It is enough to show that two pairs of corresponding angles are congruent.

because if two triangles will be congruent than automatically the third will also be congruent and  hence we can apply AA similarity.

2)

It is enough to show that all three pairs of corresponding sides are in the same ratio.

Hence, it will imply SSS similarity.

Hence, these two conditions would be enough to show that the triangles are similar.


Gnesinka [82]3 years ago
5 0

When two triangles are similar they are:"It is enough to show that two pairs of corresponding angles are congruent.""It is enough to show that two pairs of corresponding sides are in the same ratio."We appreciate your questions. Please, never hesitate to ask more in Brainly your queries. 
You might be interested in
What is the range for the possible ratios of adjacent leg hypotenuse ratios?​
kaheart [24]

Answer:

3 triangles have adjacent leg to hypotenuse ratios of approximately 0.91.

Step-by-step explanation:

3 0
2 years ago
What is the cubed root of 64 in exponential form? <br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B64%7D%20" id="TexFor
Goshia [24]

Answer:

Step-by-step explanation:

    64^(1/3)       in English it is 64 to the one third power

8 0
3 years ago
Simplify the radical expression. HELP PLEASE!!!!!!
kotykmax [81]
(a+b)(a-b)=a²-b²
In this case:
(3)²-(√6)²=9-6=3

Answer: b) 3
5 0
3 years ago
If b=13 and A=76 degrees, then find a.
Burka [1]

Answer:

Option (D).

Step-by-step explanation:

In the figure attached,

Triangle ACB is a right triangle having,

Leg AC = b = 13

Leg BC = a

Angle A = 76°

and, Hypotenuse AB = c

By applying tan rule in the given triangle,

tanA = \frac{\text{Opposite side}}{\text{Adjacent side}}

tan(76)° = \frac{BC}{AB}

             = \frac{a}{b}

4.01 = \frac{a}{13}

a = 13 × 4.01

a = 52.13

a ≈ 52.1

Therefore, Option (D). will be the answer.

6 0
3 years ago
What is the first step in writing f(x)=3x^2+6x-8 in vertex form?
Mazyrski [523]

Step-by-step explanation:

To convert to vertex form, you need to complete the square.  The first step is to factor out the leading coefficient from the first two terms.

f(x) = 3x² + 6x − 8

f(x) = 3 (x² + 2x) − 8

The second step is to take half of the x coefficient, square the result, then add and subtract inside the parentheses. (2/2)² = 1.

f(x) = 3 (x² + 2x + 1 − 1) − 8

Distribute:

f(x) = 3 (x² + 2x + 1) − 3(1) − 8

Factor and simplify:

f(x) = 3 (x + 1)² − 11

3 0
3 years ago
Read 2 more answers
Other questions:
  • emilio had $150 on a gift card he used the gift card to purchase 8 dvds. adam had $175 on a gift card and used the gift card to
    14·1 answer
  • I need help please!!!
    7·2 answers
  • Hayley has $155 in savings, and her brother Hank has $230. Hayley is saving $10 each week, and her brother is spending $15 each
    13·2 answers
  • Looking for a math tutor am in 7th
    9·2 answers
  • 8. Is this number correctly written in scientific notation? 6.875 x 10 yes O no​
    15·1 answer
  • The third set in a tennis match went for
    13·1 answer
  • Can someone please help me!
    10·1 answer
  • Please help and also explain how you got the answer if you can
    13·1 answer
  • I need this done please help me
    8·1 answer
  • Please help me fast I am confused!!!
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!