The document contains the solutions to two math questions. Question 1 identifies a quadrilateral with vertices at (-3,2), (3,2), (1,-2), and (-5,-2) as a parallelogram. It then provides the coordinates of a similar quadrilateral with vertices at (-4,2), (0,2), (1,4), and (-3,4) and shows they have a scale factor of 4:2. Question 2 proves that the triangle with vertices at (2,4), (3,1), and (1,1) is isosceles by showing two of its sides have equal lengths of 3 units.

1. Question 1
Part a) What type of quadrilateral is represented by the points A (-3, 2), B (3, 2), C (1, -2), D (-5,-2)?
A parallelogram
Part b) Create a quadrilateral that is similar to quadrilateral ABCD. Provide the coordinates of the vertices and the
work to show the two quadrilaterals are similar.
W= (-4,2)……X=(0,2)…..Y=(1,4)……Z=(-3,4)
The ratio of parallelogram ABCD and parallelogram YXWZ is 4:2, which proves that they are similar.
Question 2
Part a) Prove the points A(2,4) B(3,1) C(1,1) are the vertices of an isosceles triangle.
Triangle ABC- A(2,4) B(3,1) C(1,1)/Given
Segment AB equals 3 units/Statement
Segment BC equals 2 units/Statement
Segment CA equals 3 units/Statment
So, AB is congruent to CA/Proves that it is an isosceles triangle because it has at least 2 equal sides