C is the incenter of isosceles triangle ABD with vertex angle ZABD Does the following proof correctly justify that triangles ABC and DBC are congruent? 1. It is given that C is the incenter of triangle ABD, so segment BC is an altitude of angle ABD
2. Angles ABC and DBC are congruent according to the definition of an angle bisector
3. Segments AB and DB are congruent by the definition of an isosceles triangle
4. Triangles ABC and DBC share side BC, so it is congruent to itself by the reflexive property
5 By the SAS postulate, triangles ABC and DBC are congruent.

Drag each sequence of transformations to the correct location on the table. classify the sequences of transformations based on whether or not they prove the congruency of the shapes by mapping shape i onto shape ii. plz i'll rate u 5 stars need this done for a mastery test

Suppose sat writing scores are normally distributed with a mean of 497 and a standard deviation of 109. a university plans to award scholarships to students whose scores are in the top 2%. what is the minimum score required for the scholarship? round your answer to the nearest whole number, if necessary.

At the olympic games, many events have several rounds of competition. one of these events is the men's 100-meter backstroke. the upper dot plot shows the times (in seconds) of the top 8 finishers in the final round of the 2012 olympics. the lower dot plot shows the times of the same 8 swimmers, but in the semifinal round. which pieces of information can be gathered from these dot plots? (remember that lower swim times are faster.) choose all answers that apply: a: the swimmers had faster times on average in the final round. b: the times in the final round vary noticeably more than the times in the semifinal round. c: none of the above.