Mathematics High School

Given that SQ⎯⎯⎯⎯⎯ bisects ∠PSR and PS⎯⎯⎯⎯⎯≅SR⎯⎯⎯⎯⎯, which of the following triangle congruence statements can be used to prove that ∠P≅∠R?

The figure shows two triangles P S Q and R S Q with a common side S Q.

Answers

Answer 1

The congruency proof that can be used to show that ∠P≅∠R is as given in the steps below.

How to prove Triangle Congruence?

From the figure as seen online, we can see that;

The figure shows the same triangles PQS and RQS as in the beginning of the task. Angles SPQ and SRQ are highlighted in red.

Thus, the 2 column proof to show that ∠P≅∠R is;

Statement 1; ∠SPQ≅∠SRQ

Reason 1; Given

Statement 2; SQ bisects ∠PSR

Reason 2; Given

Statement 3; ∠PSQ≅∠QSR

Reason 3; Definition of angle bisector

Statement 4; SQ ≅ SQ

Reason 4; Reflexive Property of Congruence

Statement 5; △PQS≅△RQS

Reason 5; Angle - Angle Side (AAS) Congruency Postulate

Statement 6; PS ≅ SR

Reason 6; CPCTC (Corresponding parts of congruent triangles are congruent)

Read more about Triangle Congruence at; https://brainly.com/question/7727792

#SPJ1

Related Questions


Plz help ASAP with the correct answer plz

Answers

Taking over his thoughts is the answer

Answer:

3rd one

Step-by-step explanation:

its an idiom you are welcome

If the Federal Reserve buys $40,000 in Treasury bonds from a bank at 6%
interest, what is the immediate effect on the money supply?
A. It is decreased by $40,000
B. It is increased by $40,000
C. It is decreased by $2400
D.it is increased by $2400

Answers

Answer:

The answer would be it would increase by 40,000

The answer would be B it is increased by 40,000

Write the linear equation in slope-intercept form given the following:
(1, 4); slope=-2

Answers

Answer:

y=-2x+6

Step-by-step explanation:

y-4=-2(x-1)

y=-2x+6


Are the triangles congruent? If so, name the postulate or theorem that
justifies your statement.
Given: AE || BD, AE =BD,
LED
Conclusion: AEB – ABDC

Answers

Answer:

ASA

Step-by-step explanation:

another possible pair is ∠A and ∠B

so it makes it ASA

Which of the following best describes the equation below?
y = 8x + 9
A.
both linear and nonlinear
B.
neither linear nor nonlinear
O
C.
linear
D.
nonlinear

Answers

Answer:

C

Step-by-step explanation:

what is 9 1/6 - 2 3/4?

Answers

Answer:

6 5/16

Step-by-step explanation:

Hope this helped :)

Can someone help me with a full math assignment about slope rate of change and stuff? i will give them brainliest answer too

Answers

Answer:

yes of course .

I will help you .

The temperature was -5 degrees and then fell 8 degrees. What is the temperature now?

Answers

Answer:

-13 degrees tell me if it's right

Answer:

-13 is the answer

Step-by-step explanation:

because -5-8= -13

what form is the equation 12y=2x=24

Answers

Answer:

Step-by-step explanation:

Simplifying

12y + 2x = 24

Reorder the terms:

2x + 12y = 24

Solving

2x + 12y = 24

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-12y' to each side of the equation.

2x + 12y + -12y = 24 + -12y

Combine like terms: 12y + -12y = 0

2x + 0 = 24 + -12y

2x = 24 + -12y

Divide each side by '2'.

x = 12 + -6y

Simplifying

x = 12 + -6y

3.) Find the slope between the 2 points.
х
-2
-1
0
1
2
Y
-3
-1
1
3
5

Answers

Slope: 2

-3-(-1)/-2-(-1) = 2

Slope formula:

m=y2-y1/x2-x1

What is the domain of the function graphed below?

Answers

Answer:

Positive infinite to negative infinite

Step-by-step explanation:

Can someone please help me will give brainlist

Answers

Answer:

yes

Step-by-step explanation:

start by solving for the missing value. all angles of a triangle should add up to 180. Subtract 31 adn 106 from 180 from the left side, you will get 43. Now do the same to the other side. 180 subtracted by 31 and 43 make 106. Thus, making the triangles the same. hope this helps

PLEASEEEEE HELPPP ILL GIVE 30 POINTS PLSSS HELP

Answers

answer 4

4multiplyed by 4 is 16

what is the distance between 0,4 and -1,-5

Answers

Answer:

y  =  −x + 4

Step-by-step explanation:

in parallelogram
abcd if b=50 find the other angles​

Answers

Answer:

a is 130 c is 50 and d is 130 opposite angles are equal and corresponding angles sum equals 180

Question 2 (1 point)
Use the vertical line test to determine whether the relation is a function.
{(3,0), (2,-1). (-1,4). (1,-2)
}

Answers

Answer:

The relation is a function.

Harold cut 18 1/2 noches of ropero that was 60 inches long how much is the length of the remaining rope un inches written un decimals f From

Answers

Answer:

41.5

Step-by-step explanation:

If you do 60- 18.5 (1/2 = 0.5), you get about 41.5 inches left of the rope

I only need 1 b. please no work needed thank you

Answers

Answer:

standard form is x^2-3x-4=0

which is a^2+bx+c=0

so the value of a=1 , b= -3 and c= -4

find the value for x and y (no decimals

Answers

Answer:

x=6

y=3r3

Step-by-step explanation:

[tex]\frac{x}{sin90} =\frac{x}{sin60} =\frac{3}{sin3}\\x=6\\y=3\sqrt{3}=3r3[/tex]

Having some struggles

Answers

Answer:

I think it's 399

___

500

I hope it's well help you

Answer:

the answer is 149/500 :D hope this will help u

who ever awnsers first get brainleist

Answers

Answer: 4 servings

Step-by-step explanation:  If a serving of juice is 1/8 of the pitcher, we know that a full pitcher is capable of 8 servings, because 8 servings would be 8/8 of the picher, that is, the whole pitcher therefor 8 serivngs: 4 servings

What do you notice about the equation y=12?

Answers

Answer:

X=0

Step-by-step explanation:

If you look at the graph and follow, the x axis to match up with y=12, then you will see that x is 0

Answer:

M=0

Step-by-step explanation:

I got it right on I-Ready and because there is no change in y

can someone please help me with this

Answers

Answer:

The answer is about 13.7 for x

Step-by-step explanation:

Hope this helps.

HELP PELASE ASAPppppp

Answers

Answer:

(a)[tex]\frac{d}{a}=\frac{a}{f}[/tex]

(d)[tex]\frac{e}{c}=\frac{c}{f}[/tex]

(b)[tex]\frac{d}{b}=\frac{b}{e}[/tex]

Step-by-step explanation:

All right triangles are similar

When two triangles are similar then the ratio  of their corresponding sides are equal.

Using the property

[tex]\triangle ABC\sim \triangle DBA[/tex]

[tex]\frac{BC}{AB}=\frac{AB}{BD}[/tex]

[tex]\frac{e}{c}=\frac{c}{f}[/tex]

[tex]\triangle ACD\sim\triangle BAD[/tex]

[tex]\frac{CD}{AD}=\frac{AD}{BD}[/tex]

[tex]\frac{d}{a}=\frac{a}{f}[/tex]

[tex]\triangle ACD\sim \triangle BCA[/tex]

[tex]\frac{CD}{AC}=\frac{AC}{BC}[/tex]

[tex]\frac{d}{b}=\frac{b}{e}[/tex]

Correct options are

(a)[tex]\frac{d}{a}=\frac{a}{f}[/tex]

(d)[tex]\frac{e}{c}=\frac{c}{f}[/tex]

(b)[tex]\frac{d}{b}=\frac{b}{e}[/tex]

Solve for x: 16^2x + 1 = 128

38

83

4

43

Answers

Answer:

[tex]16^{2x}[/tex]+1=128

x=4

Having trouble solving this:

Answers

Answer:

The answer is 24*(1/5)........

Answer:

the answer is D) 121/500

Step-by-step explanation:

Please help !!! I’m stuck

Answers

Answer:

2/3 ≈ 0.6667

Step-by-step explanation:

apply soh cah toa

sine=opposite/hypo

sine=4/6

sine=2/3

x varies directly with
y. If x = 60 when
y = 75. find x when
y = 32.

Answers

Answer:

x=17

Step-by-step explanation:

Answer:

25.6

Step-by-step explanation:

find constant of variation ('k'):

y = kx

75 = 60k

k = 75/60 or 5/4

32 = 5/4x

cross-multiply:

5x = 128

x = 25.6

Use distributive property to rewrite each algebraic expression: 8(s + 5)

Answers

Answer:

8s + 40

Step-by-step explanation:

8*s = 8s

8*s = 40

8s + 40

Answer: The correct answer is 8s+40

Step-by-step explanation: If it's correct can i get brainliest..... hopes this helps.

Yep here we go again:

In the diagram below, the red angle angle YAK and the blue angle angle OAT are both right angles. If angle YAO=23 then what is the measure of angle KAT

If you don't know the answer or not sure, please don't answer it!
Whoever answers it correctly gets brainliest!!

Answers

Answer:

23 degrees

Step-by-step explanation:

90+23-90=23

9514 1404 393

Answer:

  23°

Step-by-step explanation:

Both angles YAO and KAT are complementary to angle OAK, so are congruent.

  ∠YAO = ∠KAT = 23°

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