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
Margaret [11]
3 years ago
9

Triangle QST is isosceles, and bisects T.

Mathematics
2 answers:
pychu [463]3 years ago
6 0

Answer:

The correct options are 1 and 2.

Step-by-step explanation:

Given information: Triangle QST is isosceles, and bisects T.

In triangle QRT and SRT,

TR=TR                                (common side)

\angle STR=\angle QTR                        (Bisector)

TQ=TS                        (Isosceles triangle)

By SAS rule,

\triangle STR\cong \triangle QTR

QRT=SRT                        (CPCTC)

Bisector of an isosceles triangle is the altitude of triangle.

\angle QRT=90^{\circ}

Therefore options 1 and 2 are correct.

AnnyKZ [126]3 years ago
3 0
<h3><u>Answer;</u></h3>
  • QRT = 90°
  • QRT = SRT
<h3><u>Explanation;</u></h3>
  • An isosceles triangle is a type of triangle which has two sides equal, the base angles of this triangle are also equal or congruent.
  • From the Isosceles triangle theorem, the perpendicular bisector of the base of an isosceles triangle also bisects the vertex angle. Thus, SR = RQ and   ∠STR = ∠QTR .
  • Thus; angle QRT is right angled, as TR acts as a perpendicular bisector of the base. Also SRT =QRT
You might be interested in
Binomial Theorem
Tatiana [17]

Answer:

\frac{p^{4} x^{24}+6p^{2}q^{2}x^{12}+q^{4}+4p^{3}qx^{18}+4pq^{3}x^{6}}{x^{12} }

Step-by-step explanation:

3 0
2 years ago
Algebraic Reasoning please help!
stiv31 [10]

Answer:

\left[\begin{array}{ccc}7\\4\\2\end{array}\right]

The answer is a single-column matrix (7,4,2)

Step-by-step explanation:

In such multiplication of matrices, you have to proceed by multiplying each ROW of the first matrix by the COLUMN of the second matrix.  So,

\left[\begin{array}{ccc}3&6&1\end{array}\right] * \left[\begin{array}{ccc}2\\0\\1\end{array}\right] = (3 * 2) + (6 * 0) + (1 * 1) = 6 + 0 + 1 = 7

then...

\left[\begin{array}{ccc}2&4&0\end{array}\right] * \left[\begin{array}{ccc}2\\0\\1\end{array}\right] = (2 * 2) + (4 * 0) + (0 * 1) = 4 + 0 + 0 = 4

and

\left[\begin{array}{ccc}0&6&2\end{array}\right] * \left[\begin{array}{ccc}2\\0\\1\end{array}\right] = (0 * 2) + (6 * 0) + (2 * 1) = 0 + 0 + 2= 2

I hope it helps.

5 0
3 years ago
(4, 11), (10, 11), and (9, 7) is reflected over the y-axis .<br> PLEASE HELP THIS IS DUES TO DAY
maks197457 [2]

Answer:

The new coordinates would be (-4, 11)

(-10, 11) (-9, 7) Hope this helps!

8 0
2 years ago
If f(x) = 2x2 5x, find f(3b).
frez [133]
F(x) = 2x^2 + 5x
f(3b) = 2(3b)^2 + 5(3b) = 2(9b^2) + 15b = 18b^2 + 15b
7 0
3 years ago
The coordinates of the endpoints of AB and CD are A(2,
Ratling [72]

Answer:

Option 1: CD is a perpendicular bisector of AB

Step-by-step explanation:

Let us find out the slopes of various line segments and the Distances and then we will draw the conclusions accordingly.

Formula to find slope

m= \frac{y_2-y_1}{x_2-x_1}

Formula to Find Distance between two points

D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}

mAB ( represents , Slope of AB )

1. mAC= \frac{3-2}{2-5}=\frac{1}{-3}=-\frac{1}{3}

2. mBC=\frac{2-1}{5-8}=\frac{1}{-3}=-\frac{1}{3}

3. mCD=\frac{5-2}{6-5}=\frac{3}{1}=3

4. AC=\sqrt{(3-2)^2+(2-5)^2} =\sqrt{(1)^2+(-3)^2}=\sqrt{1+9}=\sqrt{10}

5. BC=\sqrt{(2-1)^2+(5-8)^2} =\sqrt{(1)^2+(-3)^2}=\sqrt{1+9}=\sqrt{10}

mAC = mBC  , and C is common point , hence these three are collinear points  making a straight line whole slope is -\frac{1}{3}

mAB=-\frac{1}{3}

mCD=3

mAB \times mCD = -\frac{1}{3} \times 3 = -1

Hence CD ⊥ AB

Also

From Point 4 and point 5 above , we see that

AC = CB

Hence CD bisect AB at C, also CD ⊥ AB

There fore

CD is a perpendicular bisector of AB

Therefor option 1 is true

4 0
3 years ago
Other questions:
  • How would you do this, I really struggled with this last year.
    5·1 answer
  • Give another point on the curve where the slope of the line is approximately equal to the slope of your tangent line in
    12·1 answer
  • Bill must take an 8-question true/false quiz and has to guess on each problem. How many
    6·1 answer
  • How far did marcus racer travel after using five mushrooms?​
    7·1 answer
  • Please help me with this!!!
    7·1 answer
  • Anyone wanna join my arsenal server we have giveaways (nitro and robuxs and etc) and tournaments. In tournaments the winner will
    6·1 answer
  • 2 - 3d = 4d - 19<br><br>Answer and show steps​
    14·1 answer
  • Solving a decim For his long distance phone service, Justin pays a $3 monthly fee plus 11 cents per minute. Last month, Justin's
    12·1 answer
  • Plan A charges $20 a month with a $10 sign up fee. Plan B changes a $20 sign up fee but $15 each month.
    15·1 answer
  • Which shows the following expression after the negative exponents have been eliminated?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!