Properties of Parallelograms
A rectangle only has properties of a parallelogram
FALSE
A quadrilateral can be proved to be a parallelogram using 2 of the 5 properties
TRUE
Dialations are a rigid motion
FALSE
Congruent triangles can be proven similar
TRUE
Properties for angles in a parallelogram
Opposite angles are congruent, OR Same side interior angles are supplementary
A parallelogram has all angles congruent, which ones could it be
Rectangle or Square
The shape before it is dialated
Pre-Image
Two triangles of different sizes have the same angle measures. Name one way to prove them similar
AA (Angle-Angle)
Parallelograms with perpendicular angles
Rhombus and Square
Two properties that can prove a quadrilateral is a parallelogram
Both pairs of opposite angles are congruent and Alt int angles are supplementary, OR, Opposite sides are congruent and parallel
The perimeter of triangle ABC is 84 and the perimeter of triangle XYZ is x, if the perimeter of triangle ABC to triangle XYZ is 4/1, find XYZ
21
Name three ways to prove triangles congruent and why
AA- Angles don't change from the dialation
SAS- Sides are in proportion, Angles don't change with dialation
SSS- Sides are in proportion
Properties of a rectangle
All of the parallelogram properties PLUS
-All angles are right angles
-Diagonals are Congruent
What is a property that can prove a quadrilateral is a rhombus
Diagonals are perpendicular, OR All sides are congruent, OR Diagonals bisect the angles
The area of triangle QRS to triangle TUV is 16/9. If the area of QRS is 80, find the area of TUV.
45
A triangle has sides that are the sizes of 12, 25, and 16. If the longest side of the other triangle is 5, find the other two sides
25/5=5, so the others would be 1/5 of the size. 12/5= 2.4, 16/5= 3.2