For two figures to be considered congruent, their corresponding sides and angles must all be the same. Congruence can occur in any geometric figures, from simple line segments to complicated shapes with many sides and angles. Here’s another way to think about congruence: if you cut two figures out of paper, you could place one cutout on top of the other cutout and it would disappear. Consider that geometric figures are made up of an infinite number of points. When superimposed on top of each other, all of the points in one figure would match up with all of the points in the other figure. According to the passage, which of the following is not true?

A
Paper cutouts can be used to determine congruence.

B
Congruent figures have exactly the same size and shape.

C
Congruence only happens in three- or four-sided figures.

D
Two octagons can be congruent if their corresponding sides and angles match up.

C. Congruence only happens to three- or four-sided figures.

Step-by-step explanation:

d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc