Triangle ABC and triangle DEF do not intersect, and M is a point between B and C. Which of the two symbols = and ≅ could be used to fill the blanks to make each of the following a true statement?

Question

1. (triangle sign)ABC _____ (triangle sign)DEF         
2. m(angle sign)B _____ m(angle sign)E
3. BC _____ EF
4. Line AB _____ line DE
5. (angle sign)E _____ (angle sign)F
6. (angle sign)ABM _____ (angle sign)ABC
7. m(angle sign)ABM _____ m(angle sign)DEF
8. AB _____ DE

b.) In which blank would both symbols work?

c.) If line AB had been the same segment as line DE but C and F were different points, in which blank would change to =.

Answer 1

The congruent sign is used for geometric objects like angles, segments, triangles, and polygons

The equal sign is used when starting the angle measures or distances are equal . The m proceeds the angle symbol to denote the measure of the angle. The measure of a segment does not have the bar above