This data shows the number of sit-ups done by 27 students in a gym class. 58 62 49 52 75 86 88 54 56 61 85 48 77 60
47 58 62 73 78 69 65 84 59 67 53 84 50
Which histogram represents the data?
Sixth Grade Sit-ups
Sixth Grade Sit-ups
Number
of
Students
Number
of
Students
C.
A
2-
40-49
50-59 60-69 70-79 80-89
Number of Sit-ups
40 - 49
50-59 60-69 70-79 80- 39
Number of Sit-ups
HE
Sixth Grade Sit-ups
Sixth Grade Sit-ups
Number
D
Number
of
Students
Students
B
2-
40-49
SO 59 60 - 6970 - 1980 - 39
Number of sit-ups
40 - 49
50-59 60-69 70-79 80-89
Number of Sit-ups

Given: ad¯¯¯¯¯ is an altitude. prove: ab2+ac2=cb2 right triangle a b c with right angle a. point d lies on side b c and segment a d is drawn. angle a d c is a right angle. drag and drop a reason into each box to correctly complete the two-column proof. statement reason ad¯¯¯¯¯ is an altitude, and ∠bac is a right angle. given ∠adb and ∠adc are right angles. definition of altitude ∠bac≅∠bda ? ∠bac≅∠adc ? ∠b≅∠b ? ∠c≅∠c reflexive property of congruence △abc∼△dba ? △abc∼△dac aa similarity postulate abbd=cbab ? ab2=(cb)(bd) cross multiply and simplify. acdc=cbac polygon similarity postulate ac2=(cb)(dc) cross multiply and simplify. ab2+ac2=ab2+(cb)(dc) addition property of equality ab2+ac2=(cb)(bd)+(cb)(dc) substitution property of equality ab2+ac2=(cb)(bd+dc) ? bd+dc=cb segment addition postulate ab2+ac2=cb2 substitution property of equality