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 soon as possible
ratelena [41]

Answer:

Step-by-step explanation:

1.  x^2 + 6x = 5

   x^2 + 6x + 9 = 14

   (x+3)^2 = 14

   x = \sqrt{14} - 3

2. x^2 + 8x -4 = 0

   x^2 + 8x = 4

   x^2 + 8x + 16 = 20

   (x+4)^2 = 20

   x = \sqrt{20} - 4

4 0
3 years ago
Can someone help me with this geometry question pls???
Gemiola [76]

Answer:

i think it's A.) 5.5

Step-by-step explanation:

A right triangle has 90°

Given: 15 and 20

15 + 20 = 35

90 - 35 = 55

55 is the missing angle

Round to the nearest tenth: 55 ÷ 10 = 5.5

8 0
3 years ago
The cost C (in dollars) of making n watches is represented by C=15n 85. How many watches are made when the cost is $385?
liraira [26]
15n +85=385
15n=300
n=20
3 0
3 years ago
Explain why the square root of 64 has a positive and negative value.​
weeeeeb [17]

Since the square root of 64 is 8, 8 has an absolute value, so it can be opposites as it, eg. 8 = -8.

7 0
3 years ago
A travel agency books holiday tours to Italy, Greece, and other countries in Europe. A supervisor notes that the probability tha
lutik1710 [3]
P(Greece) =0.28 among tem P(G∩I) = 0.11. We also know tat
P(G ∪ I ) =1 [either Greece or Italy or both= all travelers)
The only data that is missing is te P(Italy)
P(G ∪ I ) = P(G) + P(I) - P(G∩ I)
1 =0.28 + P(I) so P(I) = 0.72
P(G) = 0.28 (including the 0 .11)
P(I) = 0.72 (including the  0.11)
P(G and I) =0.11
3 0
4 years ago
Read 2 more answers
Other questions:
  • The tangent of an angle is the ratio of the adjacent side over the opposite side.
    8·1 answer
  • Simplify 9a+3+2a+10<br><br><br><br> thx
    8·2 answers
  • Solve for u.<br> u<br> -5+<br> 3<br> =-17
    8·2 answers
  • A basket contains 13 pieces of fruit: 5 apples, 5 oranges, and 3 bananas. Jonas takes piece of fruit at random from the basket,
    8·2 answers
  • In the diagram below secants PT &amp; PU have been drawn from exterior point P such that the four arcs intercepted have the foll
    5·1 answer
  • A pound of swiss cheese costs $4.00 at the grocery store. Use the
    15·1 answer
  • Can sum1 please help me brainliest award
    5·1 answer
  • Somebody please help me with my work nobody will help me <br> I’m crying
    9·2 answers
  • A *bank* is a regular quadrilateral with four equal sides and four equal angles.
    6·1 answer
  • For the equation y = -2x + 1 A) complete the Table: X l Y -4 04B) Use the appropriate tool to graph the given equation
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!