3 years ago

Prove that a rectangle has congruent diagonals. Be sure to create and name the appropriate geometric figures

Mathematics

1 answer:

pychu [463]3 years ago

4 0

The attached figure reprsents a prove that a rectangle has congruent diagonals.

<u>Given:</u> rectangle ABCD

<u>Prove:</u> BD ≅ AC

You might be interested in

AC has endpoints<br> A(3,7) and C(6,11).<br> Find AB if B is the<br> midpoint of AC.

faltersainse [42]

Answer:

d=2.5

Step-by-step explanation:

first find the coordinate of B(mid point of AC):A(3,7) C(6,11)

d=√(6-3)²+(11-7)²

d=√3²+4²

d=√9+16=√25=5

since B is the mid point : d/2=5/2=2.5

<h2>Another way :</h2>

B(x1+x2/2 , y1+y2/2) , x1=3 , x2=6, y1=7, y2=11

B(9/2,18/2)

B(9/2,9)

Find AB : the length or distance between 2 points:

d=√(x2-x1)²+(y2-y1)²

d=√(3-9/2)²+(7-9)²

d=√(-3/2)²+(-2)²

d=√1.5²+4

d=√6.25

d=2.5

8 0

3 years ago

Given the points (6, 6) and (-7, -6) find the slope.

ANEK [815]

Answer:

12/13

Step-by-step explanation:

m=(-6-6)/(-7-6)=-12/-13=12/13

5 0

2 years ago

What is the average (arithmetic mean) of the first 90 measurements in a certain list of 92 measurements? (1) the average of the

marishachu [46]

The sum of all the measurements is just the average times the number.

$\bar x = \frac{1}{n} \sum_{i=1}^n x_i$

$\sum_{i=1}^n x_i = n \bar x$

So if the average of all 92 is 7 the sum of those is $92 \times 7$

The average of the last two is 7.2 so their sum is $2 \times 7.2$

That means the sum of the first 90 is $92 \times 7 - 2 \times 7.2$

so the average of the first 90 is

$\dfrac{92 \times 7 - 2 \times 7.2}{90} = 6.99556$ cm

7 0

3 years ago

Write the prime factorization of 21. Order the factors from least to greatest (for example, 2 × 2 × 3 × 5).

Alexus [3.1K]

Answer:

3×7

Step-by-step explanation:

7 0

3 years ago

The local video store is having a sale on video games. The store is offering a sale pack of 4 video games for $48. What is the p

Alinara [238K]

A single video game would cost $12