A midpoint is
List the four transformations that we learnt about last year, and state which of them is NOT a rigid motion
Reflection, rotation, translation, dilation
Dilation is NOT a rigid motion.
What are the 5 ways we can prove two triangles congruent?
SAS, SSS, ASA, AAS, HL
What do we call a quadrilateral with 4 congruent sides?
rhombus
What is a perpendicular bisector?
A segment which cuts a segment in half and intersects at a 90 degree angle.
What is the measure of the missing angle?
85 degrees
Which transformation is shown below? (Be as specific as possible)
Reflection across the y-axis
Are the following triangles congruent? Why/why not?
yes, SAS (vertical angles)
Name one similarity and one difference between a square and a rectangle
Similarity: Opposite congruent and parallel sides, 4 right angles, diagonals bisect each other
Difference: Square must have all congruent sides, a rectangle may not
What is the scale factor of the dilation shown below?
2
What is the measure of the missing angle and what types of angles are these?
136 degrees, alternate interior
Name four letters of the alphabet that have line symmetry.
A, B, C, D, E, H, I, K, M, N, O, T, U, V, W, X, Y,
Given: C is the midpoint of AE. How do we know the triangles are congruent?
ASA (vertical angles)
Name 2 ways we can prove that a quadrilateral is a parallelogram
prove 2 pairs of opposite sides are congruent OR prove 2 pairs of opposite sides parallel OR prove opposite angles congruent OR prove diagonals bisect each other OR prove one pair of sides parallel and congruent
If you dilate the line y = 2x - 7 from the origin using a scale factor of 4, what is the image of the line?
y = 2x - 28
What are the two ways we can find the length of a segment on the coordinate plane?
1. Pythagorean Theorem
2. Distance Formula
Which two transformations occur below?
Rotation and Dilation
In these two triangles BD = CE. What postulate would tell us that BC = DE?
Subtraction postulate (big --> small)
Determine the value of x if the quadrilateral below is a parallelogram
28 degrees
What is the midpoint of the segment connecting the points (1, 13) and (-5, 17).
(-2, 15)
The point X partitions PQ into a ___:___ ratio
1:2 ratio
What is the minimum number of degrees you would need to turn a regular hexagon onto itself?
60
Given that ABCD is a rectangle, explain why triangles ABC and ADC are congruent
Justify either SAS, SSS, HL, ASA, or AAS appropriately.
A quadrilateral has diagonals which bisect each other and are congruent. Name the quadrilateral.
Rectangle
What is the value of x?
7