Lines and Angle Pairs
Similarity
Theorems
Transformations
Congruence Postulates and Proofs
100
What is the name of the angle pair containing angles 2 and 6?
Corresponding Angles
100
What are the three similarity postulates?
SAS
AA
SSS
100
What theorem tells us that angles 2 and 4 are congruent?
Vertical Angle Theorem
100
Which transformation does not preserve congruence?
Dilation
100
Which of the following are not congruence postulates?
SAS SSA AAA ASA SAA
AAA and SSA
200
Name all the vertical angle pairs in this photo.
1 and 3
2 and 4
5 and 7
6 and 8
200
All right triangles are similar: True or False?
False.
Right triangles have one set of congruent angles but they need two.
Ex; 45,45,90 and 30,60,90
200
If proving that lines l and m are parallel, what would be the 2nd to last line?
That the corresponding angles (or alternate interior angles) are congruent.
200
(x,y) to (x-3, y + 5) represents what type of transformation?
Be specific!
Translation left three units and up 5
200
These two triangles are congruent by which postulate?
SAA
300
What is the relationship between angles 1 and 4?
They are supplementary (linear pair)
300
Solve for x
x = 14
300
What theorem tells us that the interior angles of a triangle add up to 180 degrees?
Triangle Sum Theorem
300
(x,y) to (-x, y) represents what type of transformation? (Be Specific!)
Reflection over the y-axis
300
Why is angle BAE congruent to angle CDB?
Alternate Interior Angles
400
What is the relationship between angles 1 and 7?
Alternate Exterior Angles
400
Yes by AA Similarity Postulate
400
What is the Isosceles Triangle Theorem?
The base angles of an isosceles triangle are congruent.
400
(x,y) to (4x, 4y) represents what type of transformation? (Be specific!)
Dilation with a scale factor of 4.
400
What congruence postulate tells us these triangles are congruent?
SSS
500
Which of the angle pairs does NOT tell us that the angles are congruent?
Consecutive Interior Angles
500
Write a similarity proof for these two triangles.
500
What is the Midsegment Theorem?
The midsegment of a triangle is parallel to and half as long as the third side of the triangle.
500
A line segment of length 10 cm is dilated by a scale factor of 2/5. What is the length of the new segment?
4 cm
500
What theorem would be used in order to complete this proof?
Isosceles Triangle Theorem