Question

Help help help timed exam please

Answer 1

Answer:

The correct option is the second option;

a. Division property of equality

b. Symmetric property of congruency

c. Multiplication property of equality

Step-by-step explanation:

a. For the equation in part a., we have;

6·a = 30

Therefore;

6·a/6 = 30/6

a = 5

Which is of the form, if a = b then a ÷ c = b ÷ c, which is the division property of equality

b. For the relationship in part b., we have;

∠ABC ≅ ∠LMN

∠LMN ≅ ∠ABC

The above relationship is of the form, if a ≅ b then b ≅ a, which is the symmetric property of congruency

c. For the equation in part c., we have;

$\dfrac{2}{3} \cdot \left (x - 6\right ) = 8$

Multiply both sides by 3, to get;

$3 \times \dfrac{2}{3} \cdot \left (x - 6\right ) = 3 \times 8 = 24$

Cancel like terms on the left hand side of the equation, to get;

2·(x - 6) = 24

Which is of the form, if a = c, then a × c = b × c which is the multiplication property of equality