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
MakcuM [25]
3 years ago
7

Solve the following problems : Given: S, T, and U are the midpoints of RP , PQ , and QR respectively. Prove: △SPT≅△UTQ.

Mathematics
1 answer:
AleksandrR [38]3 years ago
6 0

Answer:

Hence Proved △ SPT ≅ △ UTQ

Step-by-step explanation:

Given: S, T, and U are the midpoints of Segment RP , segment PQ , and segment QR respectively of Δ PQR.

To prove: △ SPT ≅ △ UTQ

Proof:

∵ T is is the midpoint of PQ.

Hence PT = PQ    ⇒equation 1

Now,Midpoint theorem is given below;

The Midpoint Theorem states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side.

By, Midpoint theorem;

TS║QR

Also, TS = \frac{1}{2} QR

Hence, TS = QU (U is the midpoint QR) ⇒ equation 2

Also by Midpoint theorem;

TU║PR

Also, TU = \frac{1}{2} PR

Hence, TU = PS (S is the midpoint QR) ⇒ equation 3

Now in △SPT and △UTQ.

PT = PQ (from equation 1)

TS = QU (from equation 2)

PS = TU (from equation 3)

By S.S.S Congruence Property,

△ SPT ≅ △ UTQ ...... Hence Proved

You might be interested in
Help pls!
Sliva [168]

Answer:5.83k

Step-by-step explanation:

annual means divide current by 6

3 0
2 years ago
Calculate the simple interest on $1500 for 3 years at 20% per annum
svp [43]

Answer:

see explanation below

Step-by-step explanation:

1500 × 3 × 20 ÷ 100

$900

4 0
2 years ago
An empty bucket weighs 800g.
erica [24]

Answer:

412.5 percent

7 0
3 years ago
Read 2 more answers
Please answer!!!! IMAGE BELOW
I am Lyosha [343]

Answer:

Your answer to the problem is D

8 0
3 years ago
Read 2 more answers
I really need some help it's hard to understand
Naddik [55]

Answer:

the answer is a- 60

Step-by-step explanation:

A triangular prism has three rectangular sides and two triangular faces. To find the area of the rectangular sides, use the formula A = lw, where A = area, l = length, and h = height. To find the area of the triangular faces, use the formula A = 1/2bh, where A = area, b = base, and h = height.

6 0
3 years ago
Other questions:
  • Sarah kicked a ball in the air. The function
    6·1 answer
  • What is the slope of a line parallel to (y=-3x-6)?
    13·1 answer
  • if you burn 300 calories while exercising for 12 minutes, how many calories will you burn for exercising for 30 mins
    5·2 answers
  • The number 5/3 can be best described as a(n) _____. proper fraction improper fraction mixed number
    9·2 answers
  • HURRY<br> What is the volume of this rectangles prism??
    11·1 answer
  • SUMA Y RESTA DE FRACCIONES
    5·1 answer
  • Is the mean hemoglobin level of high-altitude workers different from 16 g/cm3
    13·1 answer
  • a circular mat has a circumference of 220 centimeters find the radius rounderd to the nearest whole number
    10·1 answer
  • Multiple Choice Question True or False: The point (0, 3) lies on the x-axis. A True B. False​
    13·1 answer
  • Lin bought x grams of sugar. Jada bought 3⁄4 more than that. what is the equation that will represents the relationship between
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!