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
Phantasy [73]
3 years ago
6

Match the reasons with the statements given.

Mathematics
2 answers:
pantera1 [17]3 years ago
8 0

Given: ABCD is a rhombus

To prove: DB bisects ∠ABC and ∠ADC (∠1=∠2 and ∠3=∠4)

Proof: In ΔADB and ΔCDB

AD=CD               (sides of same rhombus)

DB=DB               (common in both triangle)

AB=CB                (sides of same rhombus)

∴ ΔADB ≅ ΔCDB by SSS congruence property.

Angle bisector: A line divide an angle into two equal part.

CPCT: Congruent part of congruence triangles.

Match the statements:-

  1. ABCD  is rhombus   ⇒    Given
  2. ΔADB≅ΔCDB   ⇒ Diagonals of parallelogram make congruent Δ      
  3. ∠1=∠2,∠3=∠4  ⇒ CPCTE                                  
  4. DB bisects ∠ABC and ∠ADC ⇒ Definition of angle bisector

Thus, Above matching is correct.

Alja [10]3 years ago
5 0
I believe the matching would be as follows;
1. ABCD is a rhombus -Given
2. Triangle ADB congruent to Triangle CDB- Diagonals of parallelogram make congruent triangles. The two triangles share a diagonal BD as their third side.
3. ∠1=∠2, ∠3=∠4 ; CPCTE
4. DB bisects ∠ABC and ∠ADC - definition of angle bisector
You might be interested in
Help!! <br> Solve for v. <br> 14v - 10 = 14v
SashulF [63]

Answer:

sln

14v-10=14v

14v-14v=10

the Value of v don't get because when 14v-14v is equal to zero

6 0
3 years ago
Very confused on how to do this and I’m only using the circled function so if anyone can help me that would be very helpful :)
denis23 [38]
I'm pretty sure it'd just be a parabola with is axis at 0 facing upwards and the inverse would be facing downwards
7 0
3 years ago
A new dirt bike valued at $9000 loses 18 percent of its value each year write an exponential function that models the value of t
STatiana [176]

Answer:

717

Step-by-step explanation:

5 0
3 years ago
In the accompanying diagram PA is tangent to circle 0 at A if CN=12 and PB=4 what is the length of PA?
bogdanovich [222]
576972840482626 is the email answer your welcome merry Christmas
4 0
3 years ago
Can someone help me out
madam [21]

the first part isn't 90, it's 180.

the whole circle is 360, half of 360 is 180


an acute angle is any angle less than 90 degrees.

3 0
3 years ago
Other questions:
  • IF I travel (4+x) miles per hour for 2 hour and I travel the same distance at (4-x) miles per hour in 3 hours, what is x?
    14·1 answer
  • 2,400 divided by what give you 3,600?
    14·1 answer
  • Jessa wanted to buy 4 new pairs of socks and she had $25 to do so. Write the equation that Jessa could use to determine how much
    12·1 answer
  • Divide the difference between 1300 and three hundred fifty, by four
    13·1 answer
  • The radius of the wheel of a bicycle is 14 inches. What is the distance, in feet, that the bicycle covers after ten full rotatio
    9·1 answer
  • Emie read that the movie made 25,992,412.50 in its third week he also read that the average ticket price for this week was 8.35h
    6·1 answer
  • Alberto saves $30 each week. How many weeks will he need to save to buy an item that costs $2484? Explain how you found your ans
    5·1 answer
  • A photocopy of a polygon was reduced to 80% of its original size. The , the copy was again reduced to 80% of its size. What is t
    7·1 answer
  • A group of adults plus one child attends a movie at a movie theater tickets cost $11 for adults and three dollars for children t
    10·1 answer
  • PLEASE HELP
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!