Pythagorean Theorem
Constructions
Transformations
Symmetry
Congruence
100
If a=5 and b=12, find c.
What is c=13?
100
What geometric construction is shown in the diagram below?
a perpendicular bisector of a segment
100
Name the specific transformation described by the given rule:
(x, y) -> (y, -x)
What is a rotation 90 degrees CW?
100
Which of the following letters does not have line symmetry, but has rotational symmetry: H, I, Z, X
Z
100
How do we know that two figures are congruent?
What is "you can map one figure onto another?"
200
Find the missing side if 8 and 12 are a leg and a hypotenuse.
What is sqrt(80)? (or 4*sqrt(5), or 8.94)
200
We wish to construct a perpendicular bisector of line segment EF. We can correctly begin by placing the compass point on E and marking off the distance to which point?
A
200
Point A starts at (-3, 3) and ends at (1, 2). Write the rule for this translation in coordinate notation.
What is (x, y) -> (x+4, y-1)?
200
What is the angle of rotational symmetry?
120 degrees
200
Which one of these congruence theorems are false?
a. ASA
b. SSA
c. SSS
d. SAS
What is b. SSA?
300
Find the distance between the points (-1,2) and (5,7)
What is sqrt(61)? (or 7.81)
300
What is the first step in constructing the angle bisector of angle A?
From point A, draw an arc that intersects the sides of the angle at points B and C.
300
Draw a pentagon on your whiteboard. What would the angle of rotation be of said pentagon?
What is 72 degrees?
300
How many lines of symmetry does the hexagon have? What is the angle of rotational symmetry?
6 lines
60 degrees
300
What is 56 degrees?
400
Stuart needs to pack a baseball bat for his upcoming tournament. Stuart has a luggage that has a length of 20 inches, a width of 8 inches, and a height of 9 inches. Find the length of the longest baseball bat he could fit into his luggage. (Hint: Find the length of the diagonal)
What is 23.3 inches?
400
Marsha is using a straightedge and compass to do the construction shown. Which best describes the construction Marsha is doing?
a line through P parallel to line L
400
Given the point (2,4), write the coordinates of the new point after being reflected across the x-axis and rotated 90 degrees CW.
What is (-4, -2)?
400
How many lines of symmetry does the shape below have? What is the angle of rotational symmetry?
No symmetry
400
What is TUS is congruent to VUS by "AAS" Theorem?
500
Find the area of a triangle if 8 and 12 are a leg and a hypotenuse.
What is 16*sqrt(5)? (or 35.77)
500
B
500
Answer is on the document (scroll down)
500
How many lines of symmetry does the shape below have? What is the angle of rotational symmetry? What is the order?
2 lines of symmetry
180 degrees
Order: 2
500
1. QU is congruent to QU (reflexive)
2. RU is congruent to UT (bisector makes 2 congruent parts)
3. <QUT is congruent to <QUR (perpendicular bisector creates right angles)
4. The triangles are congruent by SAS theorem