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
Gnom [1K]
3 years ago
13

RS PQ Complete the proof that PQR = RSP

Mathematics
1 answer:
PIT_PIT [208]3 years ago
6 0

Option D:

SAS

Solution:

Given \overline{R S} \ || \ \overline{P Q}

To prove that \triangle P Q R \cong \triangle R S P

In ΔPQR and ΔRSP,

\overline{R S}\cong\overline{P Q} (given side)

\overline{R S} \ || \ \overline{P Q} (given)

By alternative interior angle theorem,

∠PRS ≅ ∠QPR (angle)

By reflexive property of congruence,

\overline{PR } \cong \overline{PR} (side)

Hence by Side-Angle-Side (SAS) congruence rule,

ΔPQR ≅ ΔRSP

Option D is the correct answer.

Hence the missing reason is SAS.

You might be interested in
1.)<br>Х<br>ui<br>Na<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B5%7D%20%20%5Ctimes%20%20%5Cfrac%7B7%7D%7B9%7D%20"
MAVERICK [17]

if your question is 3/5*7/9...

Step-by-step explanation:

3/5*7/9

3*7/5*9

21/ 45 / 7/15

hope your question is 3/5*7/9 ... so, it will help you ... If it helps , plz mark me brilliantiest

..

6 0
3 years ago
I WILL GIVE CORRECT ANSWER BRAINLIEST
zhuklara [117]

Answer:

Given = 6 x 0 = 0

Step 2 = Substitute. Any number plus its opposite equals 0 (10 +-10)

Step 3 = Use the distributive property

Step 5 = Subtract 60 from both sides

Step 6 = Simplify to solve for 6 x -10

8 0
3 years ago
How do i factorize x²-6x-16?​
topjm [15]

Step-by-step explanation:

need a thanks and thats it...

8 0
3 years ago
Read 2 more answers
The number and frequency of a certain ocean's hurricanes annually from 1930 through 2005 is shown below. This means, for instanc
dexar [7]

Answer:

Shown below.

Step-by-step explanation:

The table showing the umber and frequency of a certain ocean's hurricanes annually from 1930 through 2005 is:

   Number:     0     1      2     3      4    5     6     7    8     11     12      

Frequency:    5    16    20   14      3    5     4     4    2      1       1

The probability of an events, say <em>E</em> is the ratio of the number of favorable outcomes to the total number of outcomes.

P(E)=\frac{n(E)}{N}

Compute the probabilities of 0 - 12 hurricanes each season as follows:

Number Frequency Probability

     0       5             0.07

     1              16                   0.21  

     2     20             0.27

     3      14             0.19

     4       3             0.04

     5       5             0.07

     6       4             0.05

     7       4             0.05

     8       2             0.03

    11       1                     0.01

    12         1              0.01

 Total     75             1.00

7 0
3 years ago
What is 18.345-10.67 and who ever helps me I will help them
Ymorist [56]
<span>18.345 - 10.67 = 7.675</span>
3 0
3 years ago
Read 2 more answers
Other questions:
  • A square garden outside of Tom's apartment has an area of 64 square meters. The area can be represented by the equation x^2=64 w
    10·1 answer
  • How many 1/10's are in 2/5?
    7·1 answer
  • I need help?????? Thanks, Will be marking brainiest
    15·1 answer
  • Which notation best represents the phrase “no more than 200”
    7·1 answer
  • Write a number that is ten times larger than 0.003
    14·1 answer
  • the cost of 2 cups of strawberries is $6. write an expression for the relationship between the cost, c, and the cups of strawber
    5·1 answer
  • An elevator begins on the ground floor of a hotel. It travels up 18 floors, down 9 floors, up 5 floors, and down 3 floors. What
    12·1 answer
  • At the park, Trevor plays basketball with friends for 2/3 hour. Then he and his friends climb trees for 1/2 hour. What expressio
    6·1 answer
  • If you vertically stretch the exponential function f(x) = 2* by a factor of 4, what
    6·1 answer
  • Pleaseeee answer correctly and ASAP!!!
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!