Rigid motions
Definitions/ triangle congruence
Isosceles and equilateral
Triangles on a coordinate plane
Congruent Figures
100
Describe the translation from Triangle DEF to Triangle IGH.
Trangle DEF translated 4 units to the left or -4 units horizontally.
100
What are the three rigid motions and what do they do
Rotation: turn around a point typically the origin
Reflection: flip over a line typically the x or y axis
Translation: move up, down, left or right
100
The angle measure for each angle in an equilateral triangle is_________________ degrees and the total degree measure of the interior angles of a triangle is___________
60, 180
100
We can use the _______________ formula or the ________________ theorem.
distance, pythagorean
100
What are the defining factors of a set of congruent figures?
same size
same shape
a rigid motion or composition of rigid motions were used to map one of the figures to the other
200
Describe a sequence of rigid motions that can be used to verify that
the shaded pre-image is congruent to the image.
The pre-image rotated 180 degrees then translated 4 units down and right 1 unit.
200
To prove triangles are congruency based on which criterion do we know uses 3 sides
SSS
200
*Daily Double*
What is the national flower of japan
cherry blossom
200
Given the points (0,0), (3,3) and (0,3) find the side lengths of each side in simplest radical form and define the triangle by its side lengths and angle measures
side lengths are 3, 3 and 3root2
200
Describe a congruence transformation that maps the blue preimage to the green image.
a 180 degrees rotation about the origin
300
Describe the rotation from Trapezoid ABCD to Trapezoid MNOP.
Trapezoid ABCD rotated 90 degrees counterclockwise.
300
To prove triangles are congruency based on which criterion do we know uses 2 sides and an angle and give an example
SAS
300
Isosceles triangles have _____ congruent sides and _______ congruent angles that are opposite of the congruent sides
2, 2
300
Given the points (-2,2), (2,2) and (0,-4) find the side lengths of each side in simplest radical form and define the triangle by its side lengths and angle measures
4, 2root10 and 2root10
so isosceles acute
300
Find the value of x.
x = 15
400
Reflect Triangle JKL over the y-axis to form Triangle J'K'L'. What are the coordinates of the vertices of Triangle J'K'L'?
J'(-3,7), K'(-6,2), and L'(-1,-5)
400
*Daily Double*
How many zip-codes are there in the US, every group gets to answer and closest one wins
41,642
400
The 2 congruent angles of an isosceles triangle are 7y-9 and 6y+1 solve for y and the 3 angles on the interior of the isosceles triangle
y=10
angles are 61, 61 and 58
400
Given the points (5,4), (7,1), (1,1) find the side lengths of each side in simplest radical form and define the triangle by its side lengths
6, 5, root13, scalene
400
If the triangles QRS and BCD are congruent, what is the corresponding part of SQ?
DB
500
Describe the translation of quadrilateral KLMN to quadrilateral RSPQ.
Quadrilateral KLMN translated down 10 units and right 4 units or -10 units vertically and 4 units horizontally.
500
To prove triangles are congruency based on which criterion do we know uses 2 angles and a side and give an example of each
ASA, and AAS
500
The two congruent sides of an isosceles triangle are 55 cm and 2x+8 cm find the value of x and the length of the congruent side. Then find the length of the non-congruent side if the length is 3x cm.
x=23.5
congruent side is 55 cm
non-congruent side is 70.5 cm
500
*Daily Double*
Give me 3 prime numbers greater than 200 and less than 500
49 potential answers between 200 and 500
211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293,307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499
500
Is The figures EMPTY and FOCUS are congruent, give me the 10 congruency statements
Angles
E=F, M=O, P=C, T=U, Y=S
EM=FO, MP=OC, PT=CU, TY=US, YE=SF