Properties of a parallelograms
True or False: A property of a parallelogram is that all of its sides are congruent
False
True or False: Parallelograms can't be proved without proving triangles inside the parallelograms first.
True
True or false; Dilations preserve distance and angle measure for the pre-image to the image.
False
True or false: Two triangles can be proven similar by Angle Angle Angle
False
Diagonals that are all equal is a property that applies to which shapes?
Square and Rectangles
If one is given a midpoint, what does that tell them?
That tells them that the line that it divides is now split into two congruent parts.
If a dilation by a scale factor of seven occurred on a square with sides measuring in 25 units, what is the area of the square after the dilation?
30625 units squared
The hypotenuse of a triangle over a leg of a triangle is part of which method to find the mean proportional relationship?
"HLLS" method
Name all of the properties of a rectangle
- four right angles
-diagonals are congruent
-both pairs of opposite sides are parallel
-both pairs of opposite sides are congruent
-consecutive angles are supplementary
-opposite angles are congruent
-diagonals bisect each other
Name one thing that one could find with parallel lines?
One could find alternate interior angles or corresponding angles.
If a dilation by a scale factor of a fraction occurred on a square would the image be larger than the pre-image or smaller?
smaller
Name one method to prove triangles similar.
Angle Angle
Side Angle Side
Side Side Side
Parallelogram ABCD has diagonals AC and DB which intersect at E. Angle BAD has a measure of 65. Angle EAD has a measure of 20 and angle EDA has a measure of 55. What is the measure of angle BEC?
105 degrees
What does CPCTC stand for?
Corresponding parts of congruent triangles are congruent.
The image of an isosceles triangle has a perimeter of 11 and its smallest side measures 3. What is the scale factor of the dilation if the preimage had the smallest side of 12?
K=1/4
Simply the square root of 128 in simplest radical form
8next to the square root of two