![2020davidhines](/avatars/38276.jpg)
2020davidhines
18.09.2019 •
Mathematics
Are the following triangles similar? justify your answer.
(sidenote: learning about ratios and proportions! )
Solved
Show answers
More tips
- H Health and Medicine How to Treat Whooping Cough in Children?...
- L Leisure and Entertainment Unlocking the Secrets of Fast and Effective Tectonic Learning...
- A Animals and plants Уход за джунгариками: полезные советы и рекомендации...
- S Style and Beauty How to knit a hooded cowl?...
- S Style and Beauty How to Break in New Shoes: 7 Simple Methods...
- D Dating, Love, Relationships 10 Useful Tips on How to Survive a Breakup?...
- A Art and Culture How to Learn Screaming: Step-by-Step Guide for Beginners...
- A Art and Culture Attention, the Final Episode of Margo is Almost Here!...
- H Health and Medicine Novomin: What is it and how to use it?...
- L Leisure and Entertainment How to Land on the Moon: Your Comprehensive Guide...
Answers on questions: Mathematics
- M Mathematics Find the area of a circle whose center is at (5, 3) and passes through the point (5, 8)....
- M Mathematics A share of Southside stock sold for $37. The annual dividend is $1.85. Three years later the stock has increased 17% in value, and the dividend has increased 5%...
- B Business Lonny (37) is a u.s. citizen. he was married at the beginning of the current tax year. his wife lived in the household until september. their divorce was finalized...
- M Mathematics 50 students attend a math contest. 8 students give wrong answers to the first problem and 15 give wrong answers to the second problem. If 33 students solve the two...
- M Mathematics From the relations given below, select the ones that represent a function as well. Note: There are two correct answers, select both of them. Select 2 correct answer(s)...
- B Business Suppose that the government charges a firm a franchise tax each year (instead of only once). Describe the effect of this tax on the marginal cost, average variable...
Ответ:
Yes they are similar.
There are three similarity criteria for triangles.
The first one (AAA) , your case, says that two triangles are similar if their corresponding angles are equal.
The second one (SAS) says that two triangles are similar if two sides have lengths in the same ratio and the angles that are included in these two sides are equal.
The third one (SSS) says that two triangles are similar of all of their sides have lengths in the same ratio.
About the first criteria, you actually need only two corresponding angles to be the same, because the third will always be the difference between 180° and the two angles.
Remember that you CANNOT exceed 180° for the sum of the three angles of a triangle.
And remember also that similarity involves correspondence in sides and angles. Two triangles, with same angles, but mirrored, are not similar!
Ответ:
6