Question

Question 14Mito has an end table with a top surface in the shape of a regular octagon. He is moving the table to clean the floor around the tablo's logs with the vacuum cleanerWhich of these statements are correct? Select all that applyATranslations of the table will not affect the angle measures of the top surfaceRotations of the table will not affect the side lengths but will affect the angle measuresInterior angle measure sums may be affected by a rotation of the table topDRotations of the table will not affect the angle measures of the top surfaceEParallel lines found on the table top wil romain parallel after any old motion

Answer 1

The next stepto prove that the base angles are congruent is to use the

Angle-Angle-Side theorem

Note that both triangles have a 90 degree angle. Also the original triangle ABC is isosceles which means angles A and C are equal in measure. if the line BD divides AC into 2 equal halves (divides at the midpoint) then it means angle B in triangle ABD is equal to angle B in triangle CBD.

Therefore, if side BD is equal in length in both triangles, then the triangles are congruent and angle B in triangle ABD equals angle B in triangle CBD.