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Terminology and Concepts
Triangles
Angle Bisector and Trapezoids
Trigonometry
Algebra Problems
100
This geometric shape has three side that are equal and its medians are equal length
What is an equilateral triangle
100
Find the missing side length of a right triangle whose base is 5 inches and it's hypotenuse is 13 inches
12 inches
100
A trapazoid with one pair of parallel sides and another pair of equal sides
What is an isosceles trapezoid
100
When finding the size of angle of a right triangle, this kind of tangent calculation can be made on your calculator
Inverse tan
100
Solve the Equation: X/3 +X/4 =14
X= 24
200
You can use this theorem to find the side lengths of a right triangle and prove that right triangle has a right angle
What is Pythagorean Theorem
200
Define the the three different kinds of lines that... 1. Goes from the vertex to the midpoint of the opposite side 2. Goes through the midpoint and is perpendicular 3. Goes from the vertex and is perpendicular to the side Order is important
What are medians, perpendicular bisectors and altitudes
200
What is the length of AB when a triangle has an angle bisector at angle CAB that hits the opposite side at D. Side AC= 4.9, CD= 4, DB= 4.8
5.88
200
A right triangle ABCs height is 26 inches and it's hypotenuse is 32 inches. What is Sin C and Tan C
Sin(C)= 26/32 Tan(C)= 13 root 87/87
200
3/X =4/X+2
X=6
300
This theorem is used to find the degree measure of the exterior angle of a polygon
What is Sentry Theorem
300
Find the number of sides of a regular polygon each of whose exterior angles contains 10 degree?
36
300
Find the area of the following trapezoid. Trapezoid ABCD has sides lengths of AB= 10, BC= 15 CD= 24 and DA= 15
Root 176
300
Atiba wants to measure the width of the Squamscott River. Standing under a tree T on the river bank, Atiba sights a rock at the nearest point R on the opposite bank. Then Atiba walks to a point P on the river bank that is 50.0 meters from T, and makes RTP a right angle. Atiba then measures RPT and obtains 76.8 degrees. How wide is the river?
X= 213. 2 meters
300
X^2-3x-10=0
X= 2 or -5
400
This geometric theorem tells us that the angle is divided into two equal parts as well as it cuts the opposite side proportionally
What is an angle bisector
400
The hypotenuse of a right triangle is twice as long as one of the legs. How long is the other leg? What is the size of the smallest angle?
Base= X Height= X root 3
400
In triangle ABC, it is given that AB = 4, AC = 6, and BC = 5. The bisector of angle BAC meets BC at D. Find lengths BD and CD.
BD=2 CD=3
400
Dale is driving along a highway that is climbing a steady 9-degree slope. After driving for two miles along this road, how much altitude has Dale gained? (One mile = 5280 feet.)
X= 1651ft
400
x^2+x-1=0
X= -1/2 - root 5/2 or X= -1/2 + root 5/2
500
A quadrilaterals midpoints connect to form this quadrilateral
What is a Varignon parallelogram
500
Triangle ADE is cut by 3 parallel lines with B and C cutting the triangle at points on AD and AE. AB= 5.6 BD=X AC=6 CE= 3.5 Find the missing side length
3.22
500
What are the angle sizes in a trapezoid whose sides have lengths 6, 20, 6, and 26?
60, 60, 120, 120
500
Taylor lets out 120 meters of kite string, then wonders how high the kite has risen. Taylor is able to calculate the answer, after using a protractor to measure the 63-degree angle of elevation that the string makes with the ground. How high is the kite, to the nearest meter? What (unrealistic) assumptions did you make in answering this question?
X=106.9 Meters
500
2x^2 -x -3=0
x=1 or x=6/4