MATHEMATICS HIGH SCHOOL

Please help if you know how to do Similarity in Geometry!!

Answers

Answer 1

Answer:

2. TU, UV and TV are mid-segments

3. Definition of mid-segment

4. Division property of equality

6. SSS similarity theorem

Solution:

Step 1: Given

T is the midpoint of QR.

U is the midpoint of QS.

V is the midpoint of RS.

Step 2: Mid-segments connects midpoints of opposite sides.

TU, UV and TV are mid-segments.

Step 3: By definition of mid-segment

A triangle mid-segment is parallel to the third side of the triangle and is half of the length of the third side.

$T U=(1)/(2) R S,$ ${U V}=(1)/(2) {Q} R$ and $V T=(1)/(2) S Q$

Step 4: By division property of equality

Divide first segment by RS, second segment by QR and third segment by SQ.

$$(T U)/(R S)=(1)/(2), \ (U V)/(Q R)=(1)/(2), \ (V T)/(S Q)=(1)/(2)$

Step 5: By transitive property

$$(T U)/(R S)=(U V)/(Q R)=(V T)/(S Q)$

Step 6: From the above steps, the sides of the triangle are congruent.

By SSS similarity theorem,

$\Delta \text { QRS } \sim \Delta \text { VUT }$

Hence proved.

Related Questions

A limited-edition poster increases in value each year. After 1 year, the poster is worth $20.70. After 2 years, it is worth $23.81. Which equation can be used to find the value, y, after x years? (Round money values to the nearest penny.)A.y = 18(1.15)x B. y = 18(0.15)x C.y = 20.7(1.15)x D.y = 20.7(0.15)
Question 2: SQUARE ROOTS
Solve the given polynomial equation. Use the Rational Zero Theorem and Descarte's Rule of Signs as an aid in obtaining the first root.6x^3-7x^2-6x-1=0What is the solution set?
What is 25% of 860 i remember percentages just need touch up how to do them
Which one of the following numbers is a multiple of 8?A. 512B. 98C. 124D. 27

What is 1/6 + (2/3 - 1/4) in simplest form

Answers

$(1)/(6)+((2)/(3)-(1)/(4))=\ \ \ \ | make\ a\ common\ denominator\n\n(2)/(12)+(8)/(12)-(3)/(12)=(2+8-3)/(12)=(7)/(12)\n\n The\ simplest\ form \ is\ (7)/(12).$

How many times does 193 go into 700

Answers

Answer:

3 times

Step-by-step explanation:

if we look at 193 times 1 its 193, times 2, its 386, times 3, 579 with a remainder of 131

3 times with a remainder of something

Solve equation x^2-4x+3=0 by factoring

Answers

Answer:

Hi,

Step-by-step explanation:

$x^2-4x+3=0\n\nx^2-4x+4-1=0\n\n(x-2)^2-1=0\n\n((x-2)-1)((x-2)+1)=0\n\n(x-3)(x-1)=0\n\nx=3\ or\ x=1\n$

Answer:

Step-by-step explanation:

The value of a car depreciates by 18% per year. Work out the current value of a car bought 4 years ago for £20000

Answers

Given:
depreciation rate: 18%
Value of the car : 20,000
Age of the car : 4 years.

The depreciation is based on the current value of the car. Therefore, the amount of depreciation varies.

yr Beginning Value Dep. Rate Depreciation Ending Value
1   20,000.00   18% 3,600.00 16,400.00
2   16,400.00   18%      2,952.00    13,448.00
3   13,448.00   18% 2,420.64 11,027.36
4   11,027.36   18% 1,984.92 9,042.44

The current value of a car bought 4 years ago is 9,042.44

Beginning value : purchased amount on 1st year. then, ending balance of the previous year from 2nd year onwards.
Depreciation : Beginning value * depreciation rate
Ending value : Beginning value - depreciation

20000 = 100%18 x 4 = 72%20000 / 100 = 200200 = 1%200 x 72 = 14,40020000 - 14,400 = 5600The value of it now should be £5600

How are the characters developed in the passage? 1. Through their actions 2. Through dialogue 3. Through description 4.through flashback (History)

Answers

Characters are developed in the passage through their actions. Therefore, option A is correct.

What are the characters in a passage?

Characters are the people, animals, or entities portrayed in a literary work such as a passage, story, or novel. They are often the main focus of the narrative and drive the plot forward.

A character can be developed through various literary techniques such as actions. Their traits, motivations, and relationships with other characters help to create a deeper understanding of the story and its themes.

Well-developed characters often feel like real people, with complex personalities, histories, and emotions, which helps to engage the reader and create a sense of empathy or connection. Therefore, option A is correct.

Learn more about characters, here:

brainly.com/question/13141964

#SPJ3

Answer:

Step-by-step explanation:

he first five terms in the arithmetic sequence an = 8n, starting with n = 1.

Answers

8,16,24,32,40
All you have to do is replace the n in 8n with the sequance number you're looking for
like for instance:
8(1)=8
8(2)=16

$a_n=8n\n \na_1=8\cdot1=8\na_2=8\cdot2=16\na_3=8\cdot3=24\na_4=8\cdot4=32\na_5=8\cdot5=40$

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A chemist has several beakers full of different liquids that he will use to make a solution. The chemist records the amount of liquid in each beaker: 0.7 millimeters, 66.612 millimeters, 293.18 milliliters, and 0.9 millimeters. How many milliliters of solution will the chemist have after he mixes together the liquids in the beakers?

Trey is sewing a pentagonal button into a shirt, as shown in the figure below. The button has holes at each of its 5 corners. How many different stitches would Trey need to make in order to stitch a piece of thread across every possible pair of non-adjacent holes?

each month for 6 months, Kelsey completes 5 paintings. How many more paintings does she need to complete before she has completed 38 paintings?