Intro to Triangles
Proving Similar Triangles
Similar Triangles
Triangle Inequalities
Applications
Triangle Sum & Exterior Angle Theorems
100
This is the side classification for a triangle with side lengths of 4 cm, 5 cm, 4 cm.
What is: isosceles
100
You have triangles ABC and XYZ and two corresponding angles are congruent in each. This is the reason they are similar.
What is AA~
100
What is 20?
100
True or False: The side lengths of 2, 4 and 8 form a triangle.
What is False?
100
On a map 1 inch = 50 miles. If point A is 7.5 inches from point B on the map. How far is point A from point B in the real world?
What is 375 miles?
100
Two angles in a triangle measure 42 degrees and 101 degrees. This is the measure of the third angle.
What is 37 degrees?
200
This is the angle classification for a triangle with angle measures of 37o, 90o, and 53o.
What is: right
200
In triangles ABC and XYZ, AB = 9, BC = 12, AC = 15. XY = 15, YZ = 20, XZ = 25. Are the triangles similar? Write the similarity statement and reason.
What is ABC ~ XYZ by SSS similarity
200
What is 24.5?
200
True or False: The side lengths of 4, 16, and 4 form a triangle.
What is True?
200
On a map 2 inches = 80 miles. If Atlanta is 400 miles from West Virginia in the real world, how far apart are they on the map?
What is 10 inches?
200
What is the measure of the exterior angle shown in the figure below?
What is 135 degrees?
300
These are the classifications for the triangle shown below:
What are: obtuse, scalene
300
In triangles ABC and XYZ, angle A = angle X, AB =10,
XY = 24, AC = 5 and XZ = 12. Are the triangles similar, Write the similarity statement and reason.
What is ABC ~ XYZ by SAS similarity
300
In triangles ABC X is between A and B, Y is between A and C, and Z is between B and C. AX = 4, AB = 12, AY = 6 and AC =18. Are Triangles ABC and AXY similar? What is the scale factor? Must show work.
What is YES? AX/AB = AY/AC? 4/12 = 6/18 = 1/3 <-- scale factor
300
The lengths of two sides of a triangle are 8 and 5. This is the inequality that represents the possible lengths of the third side, x, of the triangle.
What is 3<x<13?
300
A model car is 6 inches long, the real car is 15 feet long. What is the scale of the model to the real car?
What is 1inch : 2.5 feet?
300
Three angles in a triangle measure 3x, 10x, 5x. This is the value of x.
What is x = 10?
400
These are the classifications of the triangle shown below:
What are: equilateral, equiangular, acute, isosceles
400
You have triangles ABC and XYZ and angle A = angle Z and angle C = angle Y. What is the similarity statement of the triangles and reason?
What is ABC ~ ZXY by AA similarity
400
In triangles ABC X is between A and B, Y is between A and C, and Z is between B and C. AX = 14, XB =7, AY = 20, YC =12. Are triangles ABC and AXY similar? Must show work.
What is NO? AX / AB = AY / AC? 14 / 21 = 20 / 32? NOPE.
400
The lengths of two sides of a triangle are 19 and 19. This is the inequality that represents the possible lengths of the third side, x, of the triangle.
What is 0<x<38?
400
Two triangles are similar. The smaller triangle has a side of 5 and a height of 8. The larger one has a corresponding side that measures 20. What is the height of the larger one?
What is 32?
400
The two interior adjacent angles are 86 degrees and (4x-7) degrees. The exterior angle is (9x+4) degrees. This is the value of x.
What is x = 15?
500
This is the word (always, sometimes, or never) that makes the statement below true.
An acute triangle is ________ equiangular.
What is: sometimes
It can be equiangular (i.e., all angles measure 60o), but it does not have to be (e.g., could also have angles that measure 88o, 32o, and 60o).
500
In triangles ABC and XYZ, angle A = angle Z. AC = 50, AB =25, XZ =100 and XY =50. Are the triangles similar? If so, write the similarity statement and reason. If not, explain.
What is NO, They may not be similar because only one of the angles given is the included angle. It does not fit SAS similarity. Only if angle X = angle A then they are.
500
In triangles ABC X is between A and B, Y is between A and C, and Z is between B and C. AX = 3 , XB = 1, and AY = 3YC Are triangles ABC and AXY similar? must show work.
What is YES? 3/1 =3YC/YC ; both = 3
500
In triangle RQP, QP = 15, RP = 25, and RQ = 13. Order the ANGLES from smallest to largest. Hint: sketch and label the triangle.
What is angle P, angle R, angle Q?
500
You want to determine the height of a flagpole. You have a friend place a small mirror on the ground so that you can see the reflection of the top of the flagpole. Your friend then measures from you to the mirror and finds that it is 3 feet. The distance from the mirror to the flagpole is 15 feet. The angle from the mirror to your eyes is about 15 degrees, and the angle from the top of the flagpole to the mirror is also about 15 degrees. If your eyes are 5 feet above the ground, how high is the flagpole?
What is 25 ft?
500
The two interior adjacent angles are 86 degrees and (4x-7) degrees. The exterior angle is (9x+4) degrees. This is the value for the exterior angle.
What is 139 degrees?