Im stuck on what to do

Which properties are necessary to claim that the two prisms are congruent? Check all that apply. The lengths of corresponding ed

Juli2301 [7.4K]

Answer:

The true statements include

- The lengths of corresponding edges are in a 1:1 ratio.

- The volumes are equal.

- The base areas are equal.

- The prisms have the same height.

The false statements include;

- Corresponding angles have different measures.

- Corresponding faces are not congruent.

Step-by-step explanation:

In geometry, congruence of two figures or structures indicate that the two figures are of the same size and shape

- Angles are congruent when they are the same size (in degrees or radians).

- Sides are congruent when they are the same length.

So, for congruent prisms, the corresponding angles are expected to be of the same sizes and the corresponding sides are expected to be of the same length.

Taking each of the statements one at a time

- The lengths of corresponding edges are in a 1:1 ratio.

Since we have concluded that the corresponding sides of congruent structures/figures/prisms are of the same length. This statement has to be true.

- The volumes are equal.

Since all the corresponding sides are of the same length and the shapes are similar, the volume has to be equal. This statement is true.

- Corresponding angles have different measures.

We have postulated above that corresponding angles of congruent structures/figures/prisms are of the same sizes or measures. So, this statement is false.

- Corresponding faces are not congruent.

Since we have concluded that the corresponding sides of congruent structures/figures/prisms are of the same length. Corresponding faces have to be congruent then. So, this statement is false.

- The base areas are equal.

Since all the corresponding sides are of the same length and the shapes are similar, the base areas are equal. This statement is true.

- The prisms have the same height.

Since all the corresponding sides are of the same length and the shapes are similar, the prisms have to have the same height because the heights are corresponding sides. This statement is true.

Hope this Helps!!!

8 0

3 years ago

Read 2 more answers

For the coordinates of P and M (the midpoint) are given. Find the coordinates for Q.

zhenek [66]

Given an endpoint of a segment and a midpoint, the other endpoint can be obtained by manipulation of the midpoint formula. The said formula is shown below:

Let: (a,b) = coordinates of point 1 ; (c,d) = coordinates of point 2; (e,f) = coordinates of the midpoint

Midpoint = ( (a+c)/2 , (b + d)/2 )

From the formula: (a+c)/2 = e ; (b + d)/2 = f

Since we are already given an endpoint and the midpoint, we can solve for the other endpoint using the obtained equations. This is shown below:

(a+c)/2 = e
(3 + c)/2 = 0
c = -3

(b + d)/2 = f
(11 + d)/2 = 0
d = -11

Therefore, the coordinates of the other point is Q(-3,-11)

8 0

4 years ago

A shelf will covered with veneer on all 6 sides. The shelf is 48 inches long, 12 inches wide and 1 inch thick. What is the surfa

Liono4ka [1.6K]

So. hmmmm notice the first picture, that's a rectangular prism

is really just 6 rectangles stacked up to each other at the edges

now, notice the second picture, is a prism/shelf with a length of 48, width of 12 and height of 1

so, your shelf is really just 6 rectangles stacked up to each other at the edges

you have 2 rectangles of 48x1 on the sides
2 rectangles of 12x1 for the front and back
and 2 rectangles of 12x48, for the top and bottom

get the area of each of those rectangles, add them up, and that's the surface area of the shelf

6 0

3 years ago

A car travels 350 miles on 20 gallons of gas how many gallons will be used to travel 875 miles

tino4ka555 [31]

Hi there! You will need to do a unit rate, so you would do 20/ 350 which is a weird number 0.05714285714 , and then you multiply 0.057142857148 * 875= 50 gallons. So for 875 miles you will need 50 gallons of gas.

Hoped I helped :3

5 0

3 years ago

Solve the equation 1/8 + c = 4/5

Alekssandra [29.7K]

Answer:

c=27/40

in decimal form 0.675

Step-by-step explanation:

1/8+c=4/5

c=4/5

-1/8

c=27/40

3 0

3 years ago