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
likoan [24]
3 years ago
12

Drag and drop a statement or reason to each box to complete the proof.

Mathematics
1 answer:
bazaltina [42]3 years ago
6 0

Answer:

1. MN≅QP

  MQ≅NP

2. MP≅MP

3. SSS congruence postulate

4. ∠N≅∠Q

5. CPCTC

Step-by-step explanation:

1. As per the property of parallelogram that opposite sides are congruent, in given case of parallelogram MNPQ the opposite sides

                    MN≅QP  and   MQ≅NP.

2. The reflexive property of congruence states that a line or a geometrical figure is reflection of itself and is congruent to itself. Hence in given case of parallelogram MNPQ

                                         MP≅MP

3. SSS congruence postulate stands for Side-Side-Side congruence postulate, it states that when three adjacent sides of two triangle are congruent then the two triangles are congruent. In given case of parallelogram MNPQ, as the sides MN≅Q, MQ≅NP and MP≅MP hence

                               ΔMQP≅ΔPNM

5. As proven in part 4 that ΔMQP is congruent to ΔPNM, so as per the property of CPCTC (congruent parts of congruent triangles are congruent)

                                 ∠N≅∠Q

5. CPCTC stands for congruent parts of congruent triangles are congruent.

!

You might be interested in
If the inflation rate increases, the value of money
Alona [7]
The value of the money will increase
8 0
3 years ago
BRAINIST & 30 POINTS
soldier1979 [14.2K]

Answer:

DF= 33

Step-by-step explanation:

The ratio is equal to 6:5:1 Which can be changed into 18:15:3

Since DE=18 and EF=15 you simply add and = 33

7 0
2 years ago
QUICKLY PLEASE
KengaRu [80]

Answer:

1 and 5.  First and the last one

Step-by-step explanation:

i just took the ed test.

6 0
3 years ago
Read 2 more answers
Ashton needs $120 but has only saved 60% so far. How much more money does he need
Kamila [148]

Hello there! Ashton needs 48 more dollars.

Well, to start, you want to find 60% of 120. To do this, you first have to convert 60% into a decimal by dividing it by 100.

60/100 = 0.6

Next, multiply 0.6 by your total needed, 120, to finish finding 60% of 120.

120 x 0.6 = 72.

So he already has 72 dollars, but how many more does he need? You can find this by subtracting 72 from 120.

120 - 72 = 48.

So, this means he needs 48 more dollars. I hope this helps and have a great rest of your day! Please let me know if you need further help with this question. :)

3 0
3 years ago
A store buys a remote control robot for $60. They mark it up by 30%. What will be the selling price
exis [7]
The answer would be 78 because 10% of 60 is 6. 6 x 3 = 18 60+18=78
7 0
2 years ago
Other questions:
  • I need help with the 1st question I dont really understand it
    5·1 answer
  • Suppose you are going to graph the data in the table below. What data should be represented on each axis, and what would be the
    9·2 answers
  • Which statement is true about the discontinuities of the function f(x) x+1/6x^2-7x-3
    5·2 answers
  • Pls help, I need to get my test done b4 the end of today, and I still need to finish the rest of the questions!
    9·1 answer
  • Non standard form of 142899
    11·2 answers
  • How many 350 mL cans of coke can be filled from a 20.3 L tank of coke?
    9·1 answer
  • Total principal in both accounts​
    12·1 answer
  • Classify the following triangle.
    5·2 answers
  • Kyung bought 3 CDs that cost x dollars each, 2 DVDs that cost $10 each; and a book that cost $15. Write an expression in simples
    5·1 answer
  • Ground beef costs $2.59 per pound. What is the cost of 0.93 pound of ground beef?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!