Intersecting/Parallel Lines
Triangle Congruency Theorems
Proofs
Interior/Exterior Angles
Isosceles/Equilateral/Triangle Inequalities
100
Use the following picture to answer the questions:
a) Name an angle adjacent to ∠MNO
b) Name an angle vertical with ∠VOX
c) Name an angle that makes a linear pair with ∠WMY
a) ∠UNM or ∠ONZ
b) ∠MON
c) ∠WMN or ∠YMO
100
Determine if the triangles are congruent. If they are, state the reason why.
Yes, because of the ASA or AAS similarities. (The angles are 30º, 50º, and 100º for both triangles.)
100
When two triangles share a side, write the statement and reason in a proof for the shared side.
AB = AB, Reflexive Property
100
Find the sum of all interior angles of a decagon.
1,440º
100
Can the following three sides form a triangle? Yes or No and explain either way.
4, 10, 6
No, 4 + 6 is not greater than 10.
200
Name the type of angles based on the picture:
a) ∠JLF and ∠EKG
b) ∠GKL and ∠ILK
c) ∠EKH and ∠KLJ
a) Alternate Exterior Angles
b) Same-Side Interior Angles
c) Corresponding Angles
200
Determine if the triangles are congruent. If they are, state the reason why.
No, the sides are in different locations, which means it can't be determined.
200
Fill in the blanks
1. B is the midpoint of DC, AD = AC, Given
2. DB = BC
3. AB = AB
4. SSS
200
The measures of 12 angles of a 13-gon add up to 1,914º. Find the measure of the 13th angle x.
66º
200
Order the angles from least to greatest:
m∠A, m∠C, m∠B
300
Solve for x
x = 15
300
State if the triangles are congruent by a theorem or that they are not congruent.
Yes, SAS
300
Fill in the reasons for the following proof:
1. Given
2. Alternate Interior Angles are =
3. AAS
4. CPCTC
300
How many sides does a convex polygon have if its total interior angles sum to 1980º?
13 sides
300
Find the value of x. The measure of one angle of an equilateral triangle is
2/3x-20
x = 120
400
The measure of an angle decreased by 22º is equal to the measure of its supplement. Find the measure of the angle and the supplement.
Angle = 101º
Supplement = 79º
400
Complete the following proof. Use a two column proof.
Statement Reason
AE = DE, BE = CE Given
m∠AEB = m∠DEC Vertical ∠'s
∆ABE = ∆ACE SAS
400
Find m∠CBD
m∠CBD = 80º
400
Order the side from least to greatest:
AB, BC, AC
500
Solve for x and y
x = 19
y = 55