Line and Angle Relationships
Triangles
Transformations
Coordinate Geometry
Miscellaneous
100
The angles that add up to form a 90 degree angle?
What are Complementary angles
100
In an isosceles triangle, one base angle measures 13 degrees. What is the measure of the vertex angle?
154 degrees
100
Given the coordinates A(0,3), B(5,-3) and C(-2,-2). State the new coordinates after translating them up 2 units and to the left 3 units
What is A(-3,5), B(2,-1), and C(-5,0)
100
The distance between (9,-4) and (3,-5) to the nearest tenth.
What is 6.1?
100
The sum of the angle measures of a regular nonagon.
What is 1260 degrees?
200
The angles that are formed on opposite sides of a pair of intersecting lines.
What are vertical angles?
200
Could {7,9,11} represent the lengths of the sides of a triangle? Explain.
Yes
200
The image of (-3,4) under a translation is (4,0). What is the image of (5,1) under the same translation?
(12,-3)
200
The slope of the line determined by the points (-1,2) and (-2,9)?
What is 7/-1 or -7?
200
Given Triangle ABC in the coordinate plane with endpoints at A(4,0), B(8, 2) and C(6, 6), give the endpoints of a triangle DEF that would be similar to Triangle ABC by a scale factor of 1/2.
Triangle DEF with D(2,0), E(4, 1), and F(3,3).
300
Given two complementary angles, ABC and CBD, where m(ABC) = 65, find the measure of angle CBD.
m(CBD) = 25
300
A 10 foot ladder leans against a garage. The base of the ladder is 6 feet from the base of the garage. How high is the garage?
8 feet
300
If a translation maps (x,y)-> (x-2,y+3), what are the coordinates of A', the image of A(-2,-6) after this translation?
(-4,-3)
300
A line segment has endpoints (1,3) and (7,y). The midpoint is (4, 7). Find y.
11
300
The sides of a rectangle are 12 and 16. What is the measure of a diagonal?
20
400
Given two supplementary angles ABC and CBD, where m(ABC)=2x + 24 and m(CBD)= 3x + 6, find the measures of each angle.
m(ABC) = 84; m(CBD) = 96
400
The lengths of the sides of a triangle are 7, 8, and 10. If the length of the shortest side of a similar triangle is 21, what is the length of the longest side?
30
400
Given the coordinates A(0,3), B(5,-3) and C(-2,-2). State the new coordinates after Reflecting over y-axis
What is A(0,3), B(-5,-3) and C(2,-2)
400
The equation of the line that joins (1,3) and (-1,5)
What is y = -x + 4?
400
A segment has endpoints at (-2, 3) and (3, -3). What are the coordinates of its midpoint?
(1/2, 0)
500
Given two supplementary angles ABC and CBD, where m(ABC)=2x + 24 and m(CBD)= 3x + 6, find the measures of each angle.
m(ABC) = 84; m(CBD) = 96
500
The reason why you know that a triangle with side lengths of 5.4”, 7.2” and 9” is definitely a right triangle.
What is because 5.4 squared + 7.2 squared = 9 squared ?
500
Given the coordinates A(1,3), B(5,-3) and C(-2,-2). State the new coordinates after Rotating 90˚clockwise
What is A(3,-1), B(-3,-5) and C(-2,2)
500
What is the equation of a line that passes through the point (-3,-11) and is parallel to the line whose equation is 2x-y=4 in slope intercept form?
What is y=2x-5 ?
500
What are the formulas to find the sum of the interior angles of any polygon, and the sum of the exterior angles of any polygon?
interior sum = 180 (n-2) exterior sum = 360