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Chapter 1Chapter 3Chapter 2 10 Point 20 Points 30 Points 40 Points 50 Points 10 Point 20 Points 30 Points 40 Points 50 Points 30 Points 40 Points 50 Points Chapter 5Chapter 4
State the postulate or theorem that can be used to prove the triangles congruent. If you cannot prove the triangles congruent, write not enough information.
Not Enough Information (NEI)
State the postulate or theorem that can be used to prove the triangles congruent. If you cannot prove the triangles congruent, write not enough information.
HL theorem
If m X = 54, what is m VWZ?
m VWZ = 36
What is the value of x?
80
For what values of x and y are the triangles congruent by HL?
x = 14 y=7
Name the pair of opposite rays with endpoint N.
NX and NA Or NM and NC
m AOB = 4x 1; m BOC = 2x + 15; m AOC = 8x + 8 Solve for x. Find the angle measures.
x = 3 ;m AOB = 11; m BOC = 21; m AOC = 32
If DC = 6x and DA = 4x + 18, find the value of x. Then find AD, DC, and AC.
X = 9; AD = 54; DC = 54; AC= 108
The coordinate of the midpoint of TU is (-3, 5). The coordinate of T is T( 10, 5) find the value of point U.
(4, 5)
What is the distance between points M(6, –1) and Z(–1, 4), to the nearest tenth?
8.6
Find the value of x.
x = 3
Find m DAC and m BAC.
m BAC = 32 and m DAC = 32
Name the centroid.
U
In ABC, X is the centroid.
BY= 12 XY = 4
Where should the fire station be placed so that it is equidistant from the grocery store, the hospital, and the police station?
(1, 1)
You are driving over a bridge that runs east to west. Below the bridge, a highway runs north to south. What is the relationship of the bridge and the highway parallel, skew, or neither? Explain.
Skew
Find m 1 and m 2. Justify each answer.
m 1= 82 corr. angles and m 2= 122 by SSI
Determine the value of x for which r ║ s.
x = 19
a b; b ║ c a, b, c, and d are distinct lines in the same plane. For each combination of relationships, tell how a and c relate. Justify your answer.
They are Perpendicular
Find each missing angle measure.
m 1=33 and m 2= 52
Find a pattern for each sequence. Use the pattern to show the next two terms. 3, 6, 12, 24, 48, …
96, -192
Write the sentence as a conditional. A regular pentagon has exactly five congruent sides.
If it is a regular pentagon then is has exactly 5 congruent sides
Write the converse, inverse, and contrapositive of the given conditional statement. Determine the truth value of all three statements If a figure is a rectangle, then it has exactly four sides.
Converse: If a figure has exactly four sides then it is a rectangle. (False) Inverse: If a figure is not a rectangle, then it does not have exactly four sides. (False) Contrapositive: If a figure does not have exactly four sides then it is not a rectangle. (True)
Is each statement below a good definition? If not, explain. A rectangle is a quadrilateral with four congruent angles.
If it is a rectangle then it is a quadrilateral with four congruent angles. (True) If it is a quadrilateral with four congruent angles then it is a rectangle. (False) Since the conditional and converse are both not true then it is a bad definition
Find m 1 using the given information. m 1 = 8x 120, m 4 = 4x + 16
m 1=152
Make your wager
Complete the proof Given: A BDA Prove: x = 5