Mathematics

Mathematics, 28.08.2019 09:20, ozieera

How many sides can two congruent angles share

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Mathematics, 27.07.2019 14:00, marcy4644

The bricks used to make the walkway leading to the town hall are shaped like regular pentagons. which of the following describes a regular pentagon? a. a figure with 5 sides and 5 angles that are not congruent b. a figure with 5 congruent sides and 5 congruent angles c. a figure with 6 congruent sides and 6 congruent angles d. a figure with 6 sides that are not congruent

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Mathematics, 24.09.2019 09:00, gooberthebear8955

Complete the paragraph proof. given: m is the midpoint of pk pk ⊥ mb prove: △pkb is isosceles it is given that m is the midpoint of pk and pk ⊥ mb. midpoints divide a segment into two congruent segments, so pm ≅ km. since pk ⊥ mb and perpendicular lines intersect at right angles, ∠pmb and ∠kmb are right angles. right angles are congruent, so ∠pmb ≅ ∠kmb. the triangles share mb, and the reflexive property justifies that mb ≅ mb. therefore, △pmb ≅ △kmb by the sas congruence theorem. thus, bp ≅ bk because (corresponding parts of congruent triangles are congruent) (base angles of isosceles triangles are congruent) (of the definition of congruent segments) (of the definition of isosceles triangles) finally, △pkb is isosceles because it has two congruent sides.

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Mathematics, 14.11.2019 20:31, tonimgreen17p6vqjq

The following is an incomplete paragraph proving that the opposite sides of parallelogram abcd are congruent: according to the given information, segment ab is parallel to segment dc and segment bc is parallel to segment ad. construct diagonal a c with a straightedge. it is congruent to itself by the reflexive property of equality. angles bca and dac are congruent by the same reasoning. triangles bca and dac are congruent according to the angle-side-angle (asa) theorem. by cpctc, opposite sides ab and cd, as well as sides bc and da, are congruent. which sentence accurately completes the proof? angles abc and cda are corresponding parts of congruent triangles, which are congruent (cpctc). angles abc and cda are congruent according to a property of parallelograms (opposite angles congruent). angles bac and dca are congruent by the same-side interior angles theorem. angles bac and dca are congruent by the alternate interior angles theorem.

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