Mathematics, 28.11.2020 21:40 skent1423

Which of the following explains how ΔBEI could be proven similar to ΔCEH using the AA similarity postulate? Quadrilateral ABDC, in which point F is between points A and C, point G is between points B and D, point I is between points A and B, and point H is between points C and D. A segment connects points A and D, a segment connects points B and C, a segment connects points I and H, and a segment connects points F and G. Segments AD, BC, FG, and IH all intersect at point E.

∠BEI ≅ ∠CEH because vertical angles are congruent; rotate ΔCEH 180° around point E, then translate point C to point B to confirm∠IBE ≅ HCE.
∠BEI ≅ ∠CEH because vertical angles are congruent; reflect ΔCEH across segment FG, then translate point C to point B to confirm∠IBE ≅ HCE.
∠BEI ≅ ∠CEH because vertical angles are congruent; rotate ΔCEH 180° around point E, then dilate ΔCEH to confirm segment EB ≅ segment EC.
∠BEI ≅ ∠CEH because vertical angles are congruent; reflect ΔCEH across segment FG, then dilate ΔCEH to confirm segment EH ≅ segment EI.

Which of the following explains how ΔBEI could be proven similar to ΔCEH using the AA similarity po

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Answer from: keke6361

The correct option is;

∠BEI ≅ ∠CEH because vertical angles are congruent; rotate ΔCEH 180° around point E, then translate point C to point B to confirm ∠IBE ≅ ∠HCE

Step-by-step explanation:

The Angle-Angle (AA) similarity postulate states that two triangles are similar if two interior angles of one triangle are equal to two interior angles of the other triangle

The given triangles ΔCEH and ΔBEI have ∠CEH and ∠BEI as vertically opposite angles which are congruent

Rotating ΔCEH by 180° around point E will have segment EH coincide with segment EI

Translating point C to point B after rotation will have segment CH coincide with BI and segment CE coincide with segment BE, therefore, ∠ECH ≅ ∠EBI and ΔCEH and ΔBEI are then similia by having two congruent interior angles, ∠BEI ≅ ∠CEH and ∠ECH ≅ ∠EBI by the AA similarity postulate.

Answer from: bella122805

A) ∠BEI ≅ ∠CEH because vertical angles are congruent; rotate ΔCEH 180° around point E, then translate point C to point B to confirm ∠IBE ≅ ∠HCE

Step-by-step explanation:

i have taken the test and it was correct.

Answer from: Quest

step-by-step explanation:

Answer from: Quest

Okay so for every triangle has three angles that always add up to 180 degrees. and to tell the difference between whether they are secure, right or obtuse is that acute: has one angle that is less than 90 degrees. right triangle means there is at least one angle that is exactly 90 degrees. and an obtuse angle has an angle that is bigger than 180 degrees. i’ll do #13 as an example: 13. 40 and 50 so if every triangle has 180 degrees 40+50= 90 degrees then180-90= 90 degrees so the third angle is 90 degrees and because this triangle has a 90 degree angle it means it is a right triangle