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
stiks02 [169]
3 years ago
12

Triangle QST is isosceles, and Line segment R T bisects AngleT. Triangle Q S T is cut by bisector R T. The lengths of sides S T

and Q T are congruent. Line segments S R and R Q are congruent. Angles S T R and R T Q are congruent. What is true about AngleQRT? Select two options. Measure of angleQRT = 90° Measure of angleQRT = Measure of angleSRT AngleQRT Is-congruent-to AngleSTQ Measure of angleQRT = 2*Measure of angleRTQ AngleQRT Is-congruent-to AngleRTQ

Mathematics
2 answers:
Katyanochek1 [597]3 years ago
7 0

Answer:

m∠QRT = 90°

m∠QRT = m∠SRT

Step-by-step explanation:

Triangle QST is isosceles with QT ≅ ST. In isoscels triangle QST, angles STR and RTQ are congruent.

RT is angle T bisector, so angles QTR and STR are congruent.

Consider two triangles QTR and STR. In these triangles:

  • TR ≅ TR (reflexive property);
  • ∠QTR ≅ ∠STR (given);
  • QT ≅ ST (given).

By SAS postulate, these two triangles are congruent. Two congruent triangles have congruent corresponding sides, so

  • QR ≅ SR
  • ∠QRT ≅ ∠SRT

Angles QRT and SRT are supplementary (add up to 180°). Since these two angles are congruent, they have the same measure equal to \frac{1}{2}\cdot 180^{\circ}=90^{\circ}

So, true options are

m∠QRT = 90°

m∠QRT = m∠SRT

Afina-wow [57]3 years ago
4 0

Answer: ∠S ≅ ∠U

Step-by-step explanation: I just took the test and got the answer right

You might be interested in
The Art Club decided to sell t-shirts in order to pay for their field trip to a nearby museum. They started with 460 t-shirts an
blondinia [14]
Step by Step Answer:
10% of 460 = 46
46 x 9 =414
The Art Club sold 414 shirts.
4 0
3 years ago
This k12 question i need help
Yuri [45]

Answer: It's 72.

Step-by-step explanation: They deleted my answer <:(

4 0
2 years ago
Read 2 more answers
NEED HELP ASAPPPPP !!!
KonstantinChe [14]

Answer:

2160

Step-by-step explanation:

because c is 15 and d is 12 therefore d² is 144 and 144x15 is 2160

7 0
2 years ago
Read 2 more answers
What would be the equation for #23???
Rufina [12.5K]
Hi there!

Let r be the number of matches that Rebecca's team won.

We know that Katheryn's team won 9 more matches than Rebecca's team, and we know that Katheryn's team won 52 matches.

Using this given information, we can create the following equation.

r+9=52

If you wish to solve this, we can subtract both sides by 9 to get the following value for r.

r=43

Have an awesome day! :)

~collinjun0827, Junior Moderator
8 0
3 years ago
Read 2 more answers
PLEASE HELP ME I GIVE THE BRAINLIEST
Tems11 [23]

Answer:

what grade you in

Step-by-step explanation:

giuhyiufhyeiufheoirgjuoeirgjuer

7 0
3 years ago
Read 2 more answers
Other questions:
  • Simplify. (2x^2 + 7x + 10) - (x^2 + 2x - 9)
    9·1 answer
  • ((Use the graph shown below to fill in the blank.))
    9·1 answer
  • Solve x2 + 10x = 24 by completing the square. Which is the solution set of the equation?
    14·2 answers
  • The initial size of a bacteria future that grows exponentially was 10,000. After 1 day, there are 15,000 bacteria... how long wi
    15·1 answer
  • The cost of a telephone call is $.75 Plus $.25 the number of minutes right in algebraic expression that models the cost of a tel
    8·1 answer
  • Question is in the image
    5·1 answer
  • I really don't know how to do this-
    11·2 answers
  • A DJ tracks the song requests she receives on a Friday night. She noted that the number of requests for country songs was 2 more
    7·1 answer
  • Find the missing term.show your solution.​
    8·2 answers
  • What is x? Complementary or Supplementary Angles?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!