# Given △ABC≅△DEF, name all of the corresponding parts you could prove congruent using CPCTC

Question
Given $$\displaystyle△{A}{B}{C}≅△{D}{E}{F}$$, name all of the corresponding parts you could prove congruent using CPCTC

2021-03-08
For congruent triangles, the corresponding parts are sides and angles. Using the congruence statement that $$\displaystyle△{A}{B}{C}≅△{D}{E}{F}$$, we can write the following by using corresponding vertices (or letters from the statement):
$$\displaystyle∠{A}≅∠{D},∠{B}≅∠{E},∠{A}≅∠{D}$$
$$\displaystyle{A}{B}¯¯¯¯¯≅{D}{E}¯¯¯¯¯,{B}{C}¯¯¯¯¯≅{E}{F}¯¯¯¯¯,{A}{C}¯¯¯¯¯≅{D}{F}¯¯¯¯¯$$

### Relevant Questions

Peter says the triangle in not an equilateral triangle because neither all the sides nor all the angles are marked as congruent. Do you agree with peter?
The pentagon at the right is equilateral and equiangular.
a. What two triangles must be congruent to prove $$\displaystyle{H}{B}¯≅{H}{E}¯$$?
b. Write a proof to show $$\displaystyle{H}{B}¯≅{H}{E}¯.$$
A garden in the shape of a regular hexagon has sides that are each 5 meters long. If the height of each of the congruent triangles within the hexagon is about 4.33 meters, what is the area of the garden?
The triominoes shown are pieces from a game. Classify the shape of a triomino by its sides and angles. What is the measure of the lagest angle?
How many sides are congruent?
The ___ is formed by the congruent legs of an isosceles triangle.
Jamie was supposed to have completed a portfolio of geometric constructions during spring break. She started this construction of a triangle center on the first day of her vacation and then forgot about it. Help her complete her portfolio entry. What is the name of the triangle center that Jamie constructed (point X )? What special properties does it have? Compute the volume of the figure at right.