All categories

4 years ago

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

Mathematics

1 answer:

bazaltina [42]4 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

..................................

yanalaym [24]

Answer:

The answer is a² .

Step-by-step explanation:

You have to substitute x and y into the expression :

$let \: x = a \cos(θ) \\ let \: y = a \sin( θ)$

${x}^{2} + {y}^{2} = {(a \cosθ )}^{2} + {(a \sinθ) }^{2}$

${x}^{2} + {y}^{2} = {a}^{2}( {cos}^{2}θ) + {a}^{2} ({sin}^{2}θ)$

Next, you have to apply Basic Trigonometric Identity :

${sin}^{2} θ + {cos}^{2} θ = 1$

${x}^{2} + {y}^{2} = {a}^{2} ( {cos}^{2} θ + {sin}^{2} θ)$

${x}^{2} + {y}^{2} = {a}^{2} (1)$

${x}^{2} + {y}^{2} = { a}^{2}$

8 0

3 years ago

Help Will give Brainlist Answer

Elza [17]

Answer:

the answer for this one is 39.2f. me being a Canadian and knowing that 0c is 32 Celsius it had to be larger and putting 4 Celsius thru a converter gives you 39.2

Step-by-step explanation:

4 0

3 years ago

If you have 5 packages of brushes and 32 single brushes and each package has the same number of brushes. In all, he has 123 brus

Katyanochek1 [597]

5x+32=123
5x=91
x= 91/5 brushes

6 0

3 years ago

Read 2 more answers

What is the length of side x or the right triangle below

Anestetic [448]

Answer:

Step-by-step explanation:

by looking at the bottom the answer is 98

3 0

3 years ago

The combination lock has three wheels, each numbered from 0 to 9. What is the probability that someone randomly guesses the corr

Karolina [17]

Since it is not mentioned in the problem, we will assume that repeating of number is allowed.
For the first wheel, you have 10 possible digits.
For the second wheel, you have 10 possible digits.
For the third wheel, you have 10 possible digits.
10 x 10 x 10 = 1000
The probability that someone randomly guesses the correct combination in his first attempt is 1/1000.

If this was without repeat, then
10*9*8 = 720
The probability that someone randomly guesses the correct combination in his first attempt is 1/720.

5 0

4 years ago