Triangle Angle Bisector
Find side lengths
Triangles with parallel lines
Medians and Altitudes
Side Splitter
100
The Triangle Angle Bisector Theorem states that the bisector of an angle divides the opposite sides into two segments that are __________ to the other two sides.
Proportional
100
If two triangles are similar, their corresponding sides are __________.
Proportional
100
If a line parallel to one side of a triangle intersects the other two sides, it creates __________ triangles.
Similar
100
True or false: The altitude, median, perimeter, and sides in a similar triangle have the same ratio?
True
100
The Side Splitter Theorem states that a line parallel to one side of a triangle divides the two sides __________.
Proportionally
200
Find AB
15
200
Two similar triangles have corresponding sides in a ratio of 3:4. If one side in the smaller triangle is 9, what is the corresponding side in the larger triangle?
12
200
True or False: If a transversal cuts two sides of a triangle proportionally, then it must be parallel to the third side.
True
200
The ratio of two similar triangles is 2:3. If the median of the smaller triangle is 8, what is the median of the larger triangle?
12
200
We can only use the side splitter if the _________ are not involved.
Parallel Parts
300
True or False: The Triangle Angle Bisector Theorem applies only to right triangles.
False
300
What is the value of x?
18
300
What is the value of x?
6
300
What is the value of y?
50
300
Find the value of x.
28
400
If an angle bisector in a triangle divides the opposite side into segments of 4 and 6, and the smaller side on the other side is 10, what is the length of the remaining side?
15
400
A tree casts a shadow of 12 ft, while a 6-ft person casts a shadow of 4 ft. How tall is the tree?
18 feet
400
A triangle is split by a parallel line that creates a smaller triangle inside it. If the ratio of the sides is 2:3, what is the ratio of the perimeters?
2:3
400
Triangle ABC is drawn with a median BD to side AC. If AD=7, what is the value of DC?
7
400
Daily Double
What is the value of x?
5
500
A triangle has an angle bisector that divides the opposite side into segments of 5 and 10. One of the other sides is 12. Find the missing side.
6 or 24
500
Two similar triangles have corresponding side lengths of 5 and 15. If another side in the smaller triangle is 7, what is the corresponding side in the larger triangle?
21
500
In a triangle, a parallel line divides two sides in a 5:7 ratio. If the smaller segment is 10, what is the other segment?
14
500
***DAILY DOUBLE***
An EQUILATERAL triangle has an altitude of 10 and a side length of 30. A similar triangle has an altitude of 5. What is the PERIMETER of the smaller triangle?
45
500
What is the length of the white and orange side combined?
7.5