Complete the following chart to summarize the different ways to prove triangles are congruent

SAS congruency:

example---- figure attached.

ASA congruency:

What it says--- If any two angles and the included side are the same in both triangles, then the triangles are congruent.      

Information required---- two pair of congruent triangles and one corresponding sides.

example----figure attached.

AAS congruency:

What it says----if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then these two triangles are congruent.

Information Required----Two angles and a non-included side are congruent.

example---- figure attached.

HL congruency:

What it says---- When two right triangles have corresponding sides that are congruent , the triangles are congruent.

Information required---- two right triangles and the sides are congruent.

Example--- figure attached.

c. 65°

step-by-step explanation:

we are given a triangle with two known angles, 62° and 53°, while the third angle x is unknown and we are to find its value.

we know that the sum of angles in a triangle is equal to a total of 180 degrees. so we can write it as:

x + 62° + 53° = 180°

solving to find the value of x:

x = 180 - (62 + 53) = 65°

therefore, the value of x in this triangle is 65°.

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x