Proving trapezoid theorems Geometry

Proving Trapezoid Theorems Geometry

Answers

Answer 1

Answer:

ΔABD ≅ ΔACD by SAS, therefore;

[tex]\overline {BD} \cong \overline {CA}[/tex] by CPCTC

Step-by-step explanation:

The two column proof is presented as follows;

Statement [tex]{}[/tex]                   Reason

ABCD is a trapezoid [tex]{}[/tex]  Given

[tex]\overline {BA} \cong \overline {CD}[/tex]  [tex]{}[/tex]                   Given

[tex]\overline {BC} \parallel \overline {AD}[/tex]   [tex]{}[/tex]                   Definition of a trapezoid

ABCD is an isosceles trapezoid  [tex]{}[/tex]    Left and right leg are equal

∠BAD ≅ ∠CDA  [tex]{}[/tex]          Base angle of an isosceles trapezoid are congruent

[tex]\overline {AD} \cong \overline {AD}[/tex]   [tex]{}[/tex]                  Reflexive property

ΔABD ≅ ΔACD   [tex]{}[/tex]         By SAS rule of congruency

[tex]\overline {BD} \cong \overline {CA}[/tex]   [tex]{}[/tex]                  CPCTC

CPCTC; Congruent Parts of Congruent Triangles are Congruent

SAS; Side Angle Side rule of congruency

Answer 2

Answer:

Step-by-step explanation:

just did it

Proving Trapezoid Theorems Geometry

Related Questions

1) Resolva as expressões numéricas. Não esqueça de deixar os cálculos.
a) 2 + 8-3-5 + 15 =
b) 12 + (35 - (10 + 2) +2] =
c) [(18+32) + 8 +5 3] + 6 =
d) 37 + (-25 - (-11 + 19 - 4)] =
e) 60 = {2 • (-7 + 18 = (-3 + 12)]} - [7 • (-3) - 18 = (-2) + 1) =
f) -8 +{-5 + [(8-12) + (13 + 12)] - 10) =​

Answers

Answer:

a=17

b=37

c=117

d=8

e=

f=-2

There are 4 identical wooden blocks that are 20 inches long, 2 inches wide, and 1 inch thick. If you glue them together, what is the difference of the largest and smallest outer surface area you can get?

Answers

Answer:

Step-by-step explanation:

5 inches wide, and 2 inches thick. if you glue them together(stacked) what is ... If you glue the largest area faces together you will get the smallest overall ... The total surface area of one of the blocks is 2 times 250 square inches plus 2 times ... 720 times 3 is 2160 minus 4 times 250 is 2160 minus 1000 is 1160.

What is the radius and diameter of the following circle?

Answers

Answer:

radius=7.5, diameter=13

Step-by-step explanation:

diameter is the length across a circle through the middle, and it is given in the picture. radius is half of the diameter

A toy store had 789 games.
It sold 53 of these games.
How many games are at the store now?
I games
?

Answers

Answer:

736 games are at the store now

Step-by-step explanation:

789-53=736

Answer:

736

Step-by-step explanation:

789-53=736

Answer the photo below thanks

Answers

Answer:

You're right, the answer is C.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

I am not sure if it is B or C, but I can say that it is not A since the figure in A is rotated. Figure in B kinda looks like a reflection then C because if the figures were translated then the corner should be at one side. Sorry if that kinda confused you, but I added a picture of what I am trying to say for the figure in option B. I guess it is C.

Hope this helps, thank you !!

the output is double the input

Answers

Whats the question???

7/8m^3 +3-1/2m^3. can u please help me solve this

Answers

Answer:

3m^3/8 + 3

Step-by-step explanation:

It can't be solved but that's the most simplified version.

Answer:

15/8m^3

Step-by-step explanation:

7/8m^3+2/2m^3

7/8m^3+1/m^3

=15/8m^3

Given that ABCD is a parallelogram. Find the following

Answers

Answer:

m=8

m<A=83

m<D=97

Step-by-step explanation:

Angles that are opposite of each other in a parallelogram are equal. Knowing this, we can first conclude that angle A and angle C are equal. We can set up the following equation:

[tex]9m+11=8m+19[/tex]

Subtract both sides by 11

[tex]9m+11-11=8m+19-11\\9m=8m+8[/tex]

Subtract both sides by 8m

[tex]9m-8m=8m+8-8m\\m=8[/tex]

To calculate angle A, plug the value of m into its expression.

[tex]<A=9m+11\\<A=9(8)+11\\<A=72+11\\<A=83[/tex]

In a parallelogram, angles that share a side are supplementary, meaning they add up to 180 degrees. Therefore, angle A and angle D are supplementary. Knowing this, we can set up the following equation:

[tex]180=83+D[/tex]

Subtract both sides by 83

[tex]180-83=83+D-83\\97=D[/tex]

I hope this helps!

9. Teresa was taking her two children to the zoo. She purchased 1 adult ticket for herself and 2 children's
tickets for a total of $18.20. A family of 5 was also visiting the zoo. -The family purchased 2 adult tickets and
3 children's tickets for a total of $30.90. How much money did an adult ticket cost?

Answers

Answer:

plz mark as brainliest

Step-by-step explanation:

$7.9

The diagram at right shows a regular
hexagon
What is the area of the shaded region?
Round your answer to the nearest tenth.
I
20
20
Apothem Length: 10,3

Answers

Answer:

Nice

Step-by-step explanation:

-2 + b < 3





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

Answers

Answer:

I believe we are solving for b. b<5

Step-by-step explanation:

Order the following from LEAST to GREATEST: 3/5, -1/2, 0.50, -7/10, -0.75 *

Answers

Answer:

-0.75, -7/10, -1/2, 0.50, 3/5

Answer:

-0.75, -7/10, -1/2, 0.50, 3/5

Step-by-step explanation:

put all of them as a decimal first

3/5 = 0.6 (5)

-1/2 = -0.50 (3)

0.50 = 0.50 (4)

-7/10 = -0.70 (2)

-0.75 = -0.75 (1)

A water rocket is launched froni a platform. The height,
h in metres, of the water rocket at time & seconds after
it is launched is h= -212 + 74 + 4. When does the water
rocket hit the ground?​

Answers

Answer:

4.41seconds later

Step-by-step explanation:

Let the equation of the height reached by the water front be h = -2t^2+7t+4

The water hits the ground at h =0

Substitute

0 =  -2t^2+7t+4

-2t^2+7t+4 = 0

2t^2 - 7t - 8 = 0

t = 7±√(-7)²-4(2)(-8)/2(2)

t = 7±√49+64/4

t = 7±√113/4

t = 7±10.63/4

t = 7+10.63/4

t = 17.3/4

t = 4.41s

Hence the water hit the ground 4.41seconda later

2. it's not B
Write a rule for the linear function shown in the graph.



A. y = -5/2x - 1

B. y = 3x – 1

C. y = 2/5x + 1

D. y = 5/3x + 1

Answers

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

( 0 ,   1 )

Equation Form:

x = 0 ,     y = 1

Step-by-step explanation:

Graph.

y = − 5/ 2 x − 1

y = 3 x − 1

y = 2/ 5 x + 1

y = 5/ 3 x + 1

finding value of x. PQR
P- 2x°
3
3
3

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Equilateral Triangles.

Since, we know that, all the sides of a triangle are equal, hence it is a Equilateral triangle.

Equilateral triangle has one all angles equal to 60°.

so, major angle P = 60°

hence, 2x=60°

===> x = 30°

If you are making broccoli cheese soup the ratio of cheese to broccoli to broth is 5:6:10 if there is 100 parts broth how many of each ingredient should you use

Answers

Answer: See explanation

Step-by-step explanation:

Since there are 100 parts broth, the number to use for each ingredients will be:

Cheese = 5 × 100/10 = 5 × 10 = 50

Broccoli = 6 × 100/10 = 6 × 10 = 60

Broth = 100

A local little league has a total of 60 ​players, of whom 40​% are left​-handed. How many left ​- handed players are​ there?

Answers

Answer:

24 players

Step-by-step explanation:

Answer:

24. 60 X 4/10 is 24

Step-by-step explanation:

Pls help me with this math problem

Answers

Answer:

12 ima shoot u

Step-by-step explanation:

The number 6545 can be written as a product of a pair of positive two digit integers. What are these two integers?

Answers

Answer:

77 and 85

Step-by-step explanation:

Since the number 6545 ends in a 5, we can assume that one of the two digit numbers ends in a 5. I tried 55, 65, 75, and 85, and I just divided 6545 by those numbers until I got a two-digit positive integer as my answer,

85 * 77 = 6545

Therefore, the answer is 85 and 77.

I hope this helps!

PLEASE HELP!!! ILL GIVE BRAINLIEST, EXPLAIN YOUR ANSWER PLEASE

Answers

Answer: -20v^3 - 30x^2 +20

Step-by-step explanation:

simply multiply each term inside of the parentheses by -5.

Answer:

20v³ + 20 - 30x²

Step-by-step explanation:

multiply -5 by all three terms inside parentheses

(-5)(-4v³) + (-5)(-4) + (-5)(6x²)

20v³ + 20 - 30x²

the supplement of a 65° angle has a measure of​

Answers

Answer:

115 degrees

Step-by-step explanation:

supplementary angles add up to 180 degrees, so if x is the angle you're trying to have you get:

[tex]x + 65 = 180\\x = 115[/tex]

Which of the following expressions are equivalent to 5(m + 3)? hurryy

Answers

Answer:

B   5m + 15

Step-by-step explanation:

Use the distributive property and multiply 5 by both terms inside the parentheses.

5(m + 3) = 5 * m + 5 * 3 = 5m + 15

Answer: B   5m + 15

Which values of a and b make the following equation true?

Answers

Answer:

a=11 , b=7

Step-by-step explanation:

When integer multiply with integer, the base were same, then we just add both powers.

for example

[tex]x {}^{2} \times {x}^{3} = {x}^{2 + 3} = {x}^{5} [/tex]

How do I do this??? Sorry for my sloppy hand writing I’m in a rush...and can someone pls tell me if I’m doing this right???

Answers

Lauren jogs at a rate of 2 miles every 2/5 hour. What is her unit rate in miles per hour?

There are a couple of ways to do this. I’ve put one in the picture. Let me know if you have more questions.

NEED HELP ASAPPPPPP PLZZZZZ
Right one paragraph on
What is factoring by using GCF?

Answers

Answer:

GCF is the largest factor that all terms have in common.

A package weighs 32 ounces. What is the weight of the package in pounds

Answers

Answer:

2 pounds

Step-by-step explanation:

1 pound=16 ounces

cuántos encuentros son necesarios para una entrevista completa​

Answers

4 encuentros,creo Ó 2 encuentros.Pero yo creo que 4

HEY GUYS PLS HELP (kinda easy tho)

Answers

Answer:

74

Step-by-step explanation:

13 5-peso coins

9 1 peso coins

13 X 5 = 65

9 X 1 = 9

65+9 = 74

If x= 1/3 is one of the solutions of an equation then what is the factor that gave us this solution

Answers

Answer:

3x - 1 = 0

Step-by-step explanation:

If x = 1/3

multiply both sides by 3

3 * x = 1/3 * 3

3x = 1

Subtract 1 from both sides ;

3x - 1 = 1 - 1

3x - 1 = 0 ( the factor which gives the solution)

3x - 1 = 0

3x = 1

Doavide both sides by 3

3x / 3 = 1/3

x = 1/ 3

Which shows the distributive property?

1. 5x + 2 = 2 + 5x

2. 5(x + 2) = 5x + 10

3. 5(x + 2) = 5(2 + x)

Answers

Number 2 because your multiplying the 5 by the numbers in the parenthesis.
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