Mathematics
Mathematics, 29.06.2019 12:00, memeE15

In the figure, ab| |cd. ∠aeb and ∠ced are congruent __1__ . ∠aec and ∠ __2__ are congruent by the vertical angles theorem. 1. a. by the linear pair theorem. b. by the vertical angles theorem. c. because they are corresponding angles for parallel lines cut by a transversal. 2. a. aeb b. bed c. ecd d. eba

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Mathematics, 29.06.2019 12:30, jdkrisdaimcc11
In the figure, ab| |cd. ∠aeb and ∠ced are congruent __1__ . ∠aec and ∠ __2__ are congruent by the vertical angles theorem.1. a. by the linear pair theorem. b. by the vertical angles theorem. c. because they are corresponding angles for parallel lines cut by a transversal. 2. a. aebb. bed c. ecd d. eba
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Mathematics, 18.10.2019 18:30, jeonkara
In the figure, ab║cd and ∠eia is congruent to ∠gjb complete the following statements to prove that ∠ikl is congruent to ∠dlh. ∠eia is congruent to ∠ikc and ∠gjb is congruent to ∠ jld because they are corresponding angles of parallel lines cut by a transversal. so, if , ∠eia is congruent to ∠gjb then ∠ikc is congruent to ∠ jld by the a. (subtraction property of equality) b. (substitution property of congruency) c. (addition property of congruency) d. (transitive property of congruency) ∠ikl and ∠ikc and ∠dlh and ∠jld are pairs of supplementary angles by the a. (vertical angle theorem) b. (congruent supplements theorem) c. (linear pair theorem) m∠ikl + m∠ikc = 180° (1) ∠ikc congruent to ∠ jld, so m∠ikc = m∠jld (2) applying the (a. subtraction property of equality) (b. subtraction property of congruency) (c. addition property of congruency) (d. transitive property of congruency) to equations (1) and (2), we get m∠ikl + m∠jld = 180°. therefore, ∠ikl and ∠jld are supplementary angles. we've already shown that ∠dlh and ∠jld are supplementary angles. therefore, ∠ikl congruent to ∠dlh by the a. (vertical angles theorem) b. (definition of supplementary angles) c. (congruent supplements theorem) d. (linear pair theorem)
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Mathematics, 20.10.2019 08:50, wbaker
in the figure, ab║cd and ∠eia is congruent to ∠gjb complete the following statements to prove that ∠ikl is congruent to ∠dlh. ∠eia is congruent to ∠ikc and ∠gjb is congruent to ∠ jld because they are corresponding angles of parallel lines cut by a transversal. so, if , ∠eia is congruent to ∠gjb then ∠ikc is congruent to ∠ jld by the a. (subtraction property of equality) b. (substitution property of congruency) c. (addition property of congruency) d. (transitive property of congruency) ∠ikl and ∠ikc and ∠dlh and ∠jld are pairs of supplementary angles by the a. (vertical angle theorem) b. (congruent supplements theorem) c. (linear pair theorem) m∠ikl + m∠ikc = 180° (1) ∠ikc congruent to ∠ jld, so m∠ikc = m∠jld (2) applying the (a. subtraction property of equality) (b. subtraction property of congruency) (c. addition property of congruency) (d. transitive property of congruency) to equations (1) and (2), we get m∠ikl + m∠jld = 180°. therefore, ∠ikl and ∠jld are supplementary angles. we've already shown that ∠dlh and ∠jld are supplementary angles. therefore, ∠ikl congruent to ∠dlh by the a. (vertical angles theorem) b. (definition of supplementary angles) c. (congruent supplements theorem) d. (linear pair theorem)
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