Which properties are necessary to claim that the two prisms are congruent? Check all that apply. The lengths of corresponding edges are in a 1:1 ratio. The volumes are equal. Corresponding angles have different measures. Corresponding faces are not congruent. The base areas are equal. The prisms have the same height.

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!!!

A B E F - the correct answers

Step-by-step explanation:

got it right on edge

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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rauschg

rauschg · hand

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step-by-step explanation:

vwhat effect does the word head have on the meaning of this passage?

a. it demonstrates how intelligent he was.

b. it shows he was a favorite of the teachers.

c. it indicates he would be a good preacher.

d. it reveals how self-important he was.

how does the choice of the word head contribute to the passage’s tone?

a. it offers a sense of entitlement.

step-by-step explanation: