Parallelograms
Vocab
Transformations
Similarity Probs.
Real World Application
100
What are the properties of Parallelograms?
Opposite angels and sides are congruent. Diagonals bisect each other. Opposite sides are parallel.
100
What does this symbol mean ~?
Similar
100
What does it mean if a pre-image has undergone a rigid transformation?
Reflection, rotation, or translation to produce a congruent polygon.
100
Rectangle PQRS has a length of 12 and a width of four. Rectangle TUVW with a length of 16 and a width 6. Are this two figures similar
No because the sides are not proportional.
100
Marco is making an art project by cutting and gluing shapes to a wooden board. His designs includes two similar triangles, with one 4 times the size of the other. he cuts and traces the small triangle first onto the grid paper. Describe how he can use the tracing to make a pattern for the large triangle
Apply a dilation with center (0,0) and scale factor of 4 to the small triangle on the grid (4x,4y)
200
What are the properties of a Rectangle?
It has four rectangles , diagonals are congruent, opposites are congruent.
200
If a figured is size is changed but the angle measurements remain intact what is that called?
Dilation
200
What type of transformation does a dilation produce?
Similarity polygon
200
Given that Triangle MNP and TQR are similar m

?

m<t=27
200
A Traincar is 50 feet in length and the Traincar is similar to its model that has a length of 7in and a width on 2in. what is the width of the actual Traincar
X= 14.3 ft
300
What are the properties of a Rhombus
Four congruent sides, diagonals are perpendicular and bisect opposite angles
300
What is the definition is similar polygons?
Two polygons whose corresponding angles are congruent and whose corresponding side lengths are proportional
300
When a figure is dilated into another figure, what is the number called to produce the second figure? (Hint the number is sometimes expressed at k)
Scale Factor
300
Triangle PQR has coordinates P(-6,3), Q(-3,9), R(3,6) after the transformation it now has P(-4,2), Q(-2,6), R(2,4)
Scale Factor of (2/3x, 2/3y)
300
The ratio of the model car's dimiensions to the actual car's dimensions is 1/56. The model has a length of 3 in. What is the length of the actual car?
14ft
400
Finish the statement. If one diagonal of a parallelogram bisects a pair of opposite angles, then parallelogram is a
Rhombus
400
Name the three Similarity postulates and explain how they differ from congruence postulates
AA, SSS, SAS. The determine is the ratio of the side are proportional and the angle measurements are congruent.
400
How can you prove circles are similar
Translate the figure and find the radius and use the scale factors
400
Two figures are on a coordinate plane A(2,1), B(4,2), C(4,1) and D(-9,6), E(-3,6), F(-3,9). Determine whether these polygons are similar
Yes translation of (x-5, y+1) then a dilation of (3x,3y)
400
A baby pool with radius 2 meters is being built near a larger pool with radius 4 meter at a recreation center. the plans for the construction are laid out on the coordinate system shown. Prove that the baby pool is similar to the larger pool
(x+8,y-2) then dilate by a scale factor of (2x,2y)
500
Name this shape: It has 1 pair of opposite that are congruent, it has one right angle, its diagonals are perpendicular. What shape am I?
Sqaure
500
Name the distance formula
The difference on x square plus the difference of y square under the radican sign.
500
What is the Triangle Proportionality Theorem?
If a line parallel to a side of a triangle intersects the other two sides, then it divides those sides proportionally.
500
Two figures are on a coordinate plane. Quadrilaterals F(3, 3), G(3, 6), H(9, 3), J(9, –3) and S(–1, 1),T(–1, 2), U(–3, 1), V(–3, –1). Are these two figures similar? How so?
Yes; FGHJ maps to F’G’H’J’ by a reflection : (x, y) → (-x, y). Then F’G’H’J’ maps to STUV by a dilation: (1/3x, 1/3y)
500
The set for an animated film includes three small triangles that represent pyramids Pyramids A has a side length on 12in. and a base of 10in. Pyramid b has a length of 9in and base of 7.2in. Pyramid C has a length of 9.6 in and a base of 8in. Which pyramids are similar and what is the similarity ratio?
Pyramids A and C are ~ because the ratio of their corresponding sides are 5/4
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