Mathematics, 13.05.2021 07:00 Bryson2148
A cube is dilated by a factor of 4. By what factor does its volume increase? Complete the explanation of your reasoning.
The volume increases by a factor of 64. When the cube is dilated, each side length is increased by ___2___, so the volume is increased by __3__ the dilation factor.
Answer 2 options:
· The square of the dilation factor
· Twice the dilation factor
· The dilation factor
Answer 3 options:
· The cube of
· The square of
· Twice
Answers: 3
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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
Answers: 1
A cube is dilated by a factor of 4. By what factor does its volume increase? Complete the explanatio...
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