Question 4 (10 points) (05.06 HC)
The coordinate plane below represents a community, Points A through Fare houses in the community
A
D
5
E
3
2.
С
1
D
2
3
4 5
6
-6 5 4 6 -2
B
Part A: Using the graph above create a system of inequalities that only contains points C and F the overlapping shaded regions. Explain
how the lines will be graphed and shaded on the coordinate grid above. (5 points)
Part B: Explain how to verify that the points C and F are solutions to the system of inequalities created in Part A (3 points)
Part C: Erica wants to live in the area defined byy < 7x - 4. Explain how you can identify the houses in which Erica is interested in living (2)
points)
(10 points)

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