Similarity
Right Triangles
Other Topics
Quadrilaterals
Coordinate Geometry
FINAL Jeopardy
100
For a scale factor of k,
1) for what values of k will a shape be enlarged?
2) For what values of k will a shape be reduced?
1) k > 1
2) 0<k<1
100
37.7
100
For shapes to be congruent, all of the corresponding angles must be _______________ and all of the corresponding sides must be _______________.
congruent and congruent
100
If a quadrilateral is a rectangle, what must be true of its angle measures?
all 90 degrees
100
Using coordinate geometry (slope formula, distance formula, midpoint formula):
You have 4 points and you want to prove it is a parallelogram. You find the slope of all four lines. What must be true of the slopes to prove that it is a parallelogram?
The opposite sides must have slopes that are the same
100
Given that m<C=90 degrees
and that sin <A = 12/13 ,
find tan < B
tan< B = 5/12
200
What is the scale factor that will map the pre-image of triangle ABC to triangle GHI?
1/2
200
Solve for b. Round your answer to the nearest tenth.
26.7
200
For shapes to be similar, all of the corresponding angles must be ________________ and all of the the corresponding sides must be ________________.
congruent and proportional
200
I am a quadrilateral that is both a rectangle and a rhombus. What am I?
square
200
Find the slope of the line that passes through the points (8, -4) and (-2, 3).
-7/10
200
A 25 foot ladder leans against a wall so it touches the wall 18 feet above the round. What angle (to the nearest degree) is formed with the ladder and the ground?
46 degrees
300
Give the coordinates of the figure with the given vertices and scale factor with a center of dilation at the origin.
k=3
A (2,4) B (-3, -1), C (0, 1)
A' (6, 12)
B' (-9, -3)
C' (0,3)
300
Fill in ALL the blanks.
sin (angle) = __________ / ___________
cos (angle) = ___________ / ___________
tan (angle) = ___________ / __________
opposite / hypotenuse
adjacent / hypotenuse
opposite / adjacent
300
Name all the Triangle Congruence Criteria that can be used to determine that triangles are congruent.
SSS
SAS
ASA
AAS
HL
300
In a parallelogram, diagonals ____________ each other.
bisect
300
What is the relationship between slopes of the perpendicular lines?
Multiply to -1 OR they are opposite reciprocals of each other
400
Find the length of DA.
DA = 56.9 km
400
Solve for y. Round your answer to the nearest tenth.
12.0
400
<4 and <6 are called angles
alternate interior angles
400
I am a parallelogram with congruent diagonals that are not perpendicular.
What am I?
Rectangle
400
Find the midpoint of the segment that has endpoints of (11, -11) and (-14, 7).
(-1.5, -2)
500
Find the length of the missing side of the triangle. Round to the nearest tenth.
(picture on board)
10.7
500
Find the measure of AB. Round your answer to the nearest tenth.
17.0
500
Given that line m is parallel to line n, and <3 = x+2 and <6 = 9x-12, solve for x and find the measurement of <3 and <6.
x=19
<3=21 degrees
<6=159 degrees
500
Solve for x and find the measure of every angle in the following quadrilateral.
(picture on board)
x=45
Angles: 95, 45, 37, 183
500
Find the distance between the points (7, 12) and (-8, 14). Round your answer to the nearest tenth.
15.1