Unit 1: Basics of Geometry
Unit 2: Parallel and Perpendicular Lines
Unit 3: Translations
Unit 4: Triangle Properties and Congruence
Unit 5: Relationships within Triangles
100
If the following two angles are complementary, find the value of x.
<ABC = 3x+56 and <DBC = 4x-23
x=8.14 or 57/7
100
Name the angles that are alternate interior, are they congruent?
<3 and <6, yes
100
How many lines of symmetry does this shape have?
5
100
Find the measure of the missing angles
80 degrees each
100
Which point of concurrency is 2/3 from the vertices of a triangle?
Centroid
200
If BH bisects <ABC, find the value of x
x=11
200
Given the lines are parallel and cut by a transversal, what relationship does <1 and <5 have?
If <1=2x+10 and <5=3x-6, what is the value of x?
Corresponding angles, x=16
200
Does this shape have rotational symmetry? If so, what angle(s) of rotation?
Yes, angle of rotation: 180*
200
Find the value of x
x=5
200
Find the value of x
x=9
300
x= 2, JK=9
300
Find the value that forces L and M to be parallel
x=23
300
Find the image of triangle ABC after using the translation rule of (x,y)->(x-2,y+3) Use correct notation for your answer
A(5,6) B(7,-2) C(3, -1)
A'(3,9) B'(5,1) C'(1,2)
300
Are we able to say these two triangles are congruent? If so, which property could you use? If not, what information do you need?
Yes, ASA
300
If the two sides of a triangle are 11 and 17, what are the possible lengths of the third side?
6<x<28
400
Find the value of x for this linear pair
x=17
400
Determine if RS and TV are parallel, perpendicular, or neither.
R(3,5) S(5,6)
T(-2,0) V(4,3)
Parallel lines
400
Find the translation rule to get from blue to red
(x,y)->(x-6,y+2)
400
If triangles ABC and DEF are congruent, which angle is congruent to <FDE
<CAB
400
Point C is centroid: If CQ is 18 units, find the length of CZ
CZ=9
500
The midpoint of AB is C(3,-4) if A is at (2,-2), find the coordinates of B
B is at (4,-6)
500
Write the equation of a line in both Slope-intercept and Point-slope form that is perpendicular to y=3x-5 and contains (3,2)
y= -1/3x + 3
y-2 = -1/3(x-3)
500
The blue shape is reflected in line L to red shape, then reflected in line M to green shape. Describe the single translation that maps the blue shape to the green triangle.
Rotation of 110 degrees counterclockwise
500
Can we say these two triangles are congruent? If so, what property? If not, what information do you need?
No, <C and <F have to be 90 degrees or we need other information
500
Is <1 or <2 larger?
<2