Triangles/Trig
Congruence and Quad Facts
Similarity
Coordinate Geometry
Circles
100
A triangle with two congruent sides whose base angles are also congruent.
What is an isosceles triangle?
100
What is choice c?
100
The three types of triangle similarity are these.
What is SAS, SSS, and AA?
100
The formula used to show that two segments are congruent.
What is the distance formula?
d=sqrt((y_2-y_1)^2+(x_2-x_1)^2
100
are the coordinates of the center and length
of the radius of the circle whose equation is
x ^2 + 6x + y ^2 − 4y = 23
What is (-3,2) and 6?
200
In Triangle ABC below, this trig function is equal to the sin(A).
What is Cos(B)?
200
This makes a parallelogram a rectangle?
What is consecutive sides perpendicular?
What is diagonals are congruent?
200
In the diagram of ADC below, EB || DC, AE = 9, ED = 5, and AB = 9.2.
The length of AC is this.
What is 5.1?
200
The formula used to show that two segments are parallel or perpendicular.
What is the slope formula?
(y_2 - y_1)/(x_2-x_1)
200
d=sqrt((y_2-y_1)^2+(x_2-x_1)^2
The center of circle Q has coordinates (3,−2). If
circle Q passes through R(7,1), the diameter is this. (Hint* )
What is 10?
300
Given the triangle below you would use this to solve for the unknown information. For 300 extra points, what is the value of the missing information?
What is inverse Trig?
11.5 Degrees
300
What is 108?
300
In the diagram below, DE divides AB and AC proportionally, m∠C = 26°, m∠A = 82°, and DF bisects ∠BDE.
The measure of angle DFB is this.
What is 54?
300
What are the coordinates of the point on the
directed line segment from K(−5,−4) to L(5,1) that
partitions the segment into a ratio of 3 to 2?
What is (1,-1)?
300
In circle A below, chord BC and diameter DAE
intersect at F.
What is 118?
400
What is the value of x?
What is 99.7 Ft?
400
In rhombus TIGE, diagonals TG and IE intersect at
R. The perimeter of TIGE is 68, and TG = 16.
The length of IE is this.
What is 30?
400
In the diagram of ABC below, points D and E are on sides AB and CB respectively, such that DE || AC.
If EB is 3 more than DB, AB = 14, and CB = 21, what is the length of AD?
What is 8?
400
This distance between the origin and (5,7) is this.
What is
sqrt(74)
400
In the circle below, secants TSR and TMH intersect at T, SR = 5, HM = 9, TM = 3, and TS = x. The value of x is this.
what is 4?
500
In quadrilateral EBCF and line AD is drawn below, such that ABCD is a parallelogram and EB is congruent to FB and EF is perpendicular to HF.
If angle E is 62 and angle c is 51, what is the measure of angle BHF?
What is 79 degrees?
500
This fact about diagonals is what causes a parallelogram to be a rhombus.
What is perpendicular bisectors.
500
In the diagram of equilateral triangle ABC shown below, E and F are the midpoints of AC and BC, respectively
If EF = 2x + 8 and AB = 7x − 2, what is the perimeter of trapezoid ABFE?
What is 100?
500
Segment JW has endpoints J(-3,1) and W(5,5). What is the equation of the perpendicular bisector of JW?
What is
y-3=2(x-1)
500
Circle O is drawn below with secant BCD. The length of tangent AD is 24.
If the ratio of DC:CB is 4:5, what is the length of CB?
What is 20?