Courtney collects antique perfume bottles. She wants to calculate the volume of a square pyramid bottle that she has acquired to help her identify the year in which it was sold. Find the volume of the bottle in terms of x, and then find the volume in cubic centimeters if x=3 .

Which of these triangle pairs can be mapped to each other using two reflections?

The rectangle shown has a perimeter of 108 cm and the given area. its length is 6 more than five times its width. write and solve a system of equations to find the dimensions of the rectangle.

Given: ae ≅ ce ; de ≅ be prove: abcd is a parallelogram. we have that ab || dc. by a similar argument used to prove that △aeb ≅ △ced, we can show that △ ≅ △ceb by. so, ∠cad ≅ ∠ by cpctc. therefore, ad || bc by the converse of the theorem. since both pair of opposite sides are parallel, quadrilateral abcd is a parallelogram.