Pyth Theorem
Angles
Triangles
Reflections
Series of Transformations
100
What is the equation for Pythagorean Theorem ?
a2 + b2 = c2
100
A straight line equals how many degrees?
A straight line equals 180 degrees?
100
The three interior angles of any triangle always add up to ______ degrees.
The three interior angles of any triangle always add up to 180 degrees.
100
Three Part Question!!!
1) A reflection is a ______.
2) The X - Axis is the (vertical or horizontal) line.
3) The Y - Axis is the (vertical or horizontal) line.
Three Part Question!!!
1) A reflection is a FLIP.
2) The X - Axis is the (horizontal) line. (think horizon)
3) The Y - Axis is the (vertical) line.
100
True or False :
For two figures to be congruent, there must be a series of transformations that map one figure to the other.
TRUE
For two figures to be congruent, there must be a series of transformations that map one figure to the other.
200
FG is shown in the coordinate plane. What is the length of FG? Round your answer to the nearest tenth if necessary.
62+ 32 = c2
36 + 9 = c2
45 = c2
Sq Rt 45 = c
3sqrt(5)
200
Lines l, m and n are parallel and cut by a transversal p. Find the value of x. Be sure to show your work.
4x - 5 = 107
4x = 112
x = 28
200
The measures of ∠F and ∠H in triangle FGH are shown. What is the value of x? SHOW ALL WORK and explain your reasoning.
3x + 2 = 62 + 87
3x = 147
x = 49
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There is a longer way if you don't remember the "short cut" / exterior triangle theorem.
Measure of angle fgh
180 - (62 + 87)
180 - 149
31
Measure of x
180 = (31) + (3x + 2)
180 = 3x + 33
147 = 3x
49 = x
(SAME RESULT! Much more work)
200
Triangle QRS is graphed in the coordinate plane. Graph triangle Q’R’S’ as a result of reflecting QRS across the y-axis. (List Coordinates of Q’ , R’ and S’)
A' (8,4)
B' (1,6)
C' (3,3)
Reflecting across Y - axis = (- X ,Y)
200
Figure JKLM is congruent to figure ABCD. Describe a sequence of rigid motions that maps figure JKLM onto figure ABCD.
90 degree counter clock wise rotation around the origin and a reflection across the y axis
300
Consider the right triangle. What is the length of the unknown side b?
62 + b2 = 102
36 + b2 = 100
--------------------------
b = 8
300
Lines l and m are parallel and cut by a transversal n. Find the value of x. Be sure to show your work.
(3x+15) + (78) = 180
--------------------------
x = 29
300
The measures of ∠A and ∠B in triangle ABC are shown. What is the value of x? SHOW ALL WORK and explain your reasoning.
x = 9
300
Triangle QRS is graphed in the coordinate plane. Graph triangle Q’R’S’ as a result of reflecting QRS across the x-axis. (List Coordinates of Q’ , R’ and S’)
A' (-8 , -4)
B' (-1, -6)
C' (-3, -3)
across x axis = (X, - Y)
300
Figure JKLMN is congruent to figure STUVW. Describe a sequence of rigid motions that maps figure JKLMN onto figure STUVW.
Rotate figure JKLMN 180° about the origin.
Translate the image 2 left and 2 up