MATH U12
What is an acceptable length for the third side of a triangle with sides 3 and 4?
5
In the figure below, what is the measure of ∠x?
69
A possible length for the third side of a triangle with sides 6 and 12 would be
8
In the figure below, AD__CD.
>
m<1 > m<2
Corollary of the Hinge Theorem
Which of the following statements is true about the figure below?
DEF is larger than each of FGE and EFG
Suppose that the following figure exhibits the Hinge Theorem, What necessary condition must be satisfied in the figure below for us to conclude that m∠A<m∠Dm?
DF must be 11
Which is the longest side of ΔDEV?
DV
Dave rides 3 miles north then 1.5 miles N120°W. Ellen on the other hand rides 3 miles south then 1.5 miles east. Who is farther from the park?
Dave
BM = CM
Definition of Median
BDA = 180 - 110
Definition of Supplementary Angles
Given: AD=CD, m∠BDC = 110 Prove: CB > AD 3. ∠BCD and ∠BDA are supplementary angles
Definition of Supplementary Angles
One may say that in the figure below, m∠WUV+m∠UVW=m∠EWV because of the --------_.
Exterior Angle Theorem
CB > AD
Hinge Theorem
What are the longest and shortest side of the triangle below?
The longest side is opposite the 115 angle; the shortest sides is opposite is opposite the 25
An exterior angle is always --------_ to one of the interior angles of a triangle.
adjacent
Given a triangle with lengths measuring 9 and 12, the third side would be of length 11.5. Is this true?
sometimes
In a triangle, one side has length x, and a side adjacent to it has twice that length. What would be the range of possible values for the third side y in terms of x?
x<y<3x
Find the value of x in the figure below.
11
What is the measure of the exterior angle adjacent to ∠WUV?
113
In the figure below, what is the measure of ∠x?
12
Which of the following sets of lengths could form a triangle?
15,12,9
The following lengths can be used for the third side of a triangle with lengths 4 and 7 except
2
What would be the sum of the measures of ∠EWV, ∠WVU, and WUV in the figure below?
288
In ΔRST, 9RS=3x−9, ST=5x+2, and RT=9x−17. What is the range of possible value of x?
4 < x < 10
What is the measure of ∠U in the figure below?
40
What is the value of x? (triangle)
40
Which conclusion may be made from the figure below?
BC < CD < DE
AM = AM
Reflexive Property
Complete the table by selecting the appropriate reason for the given statement. Given: AD=CD, m∠BDC = 110 Prove: CB > AD 2. BD = BD
Reflexive Property
BDA = 70
Simplification
In ΔRST, RS=12, and ST=8. What is the least possible value of the third side RT?
a little longer than 4.
In ΔRST, RS=12, and ST=8. What is the greatest possible value of the third side RT?
a little shorter than 20
AB > AC
given
Complete the table by selecting the appropriate reason for the given statement. Given: AD=CD, m∠BDC = 110 Prove: CB > AD
given
The measure of an exterior angle is --------_ any of its remote interior angles.
greater than
In the figure below, m∠1---m∠2
gt
In the figure below, what can you conclude regarding AB and AC?
insufficient information
What may be concluded about ∠BUG and ∠PET?
m∠BUG > m∠PET
Would the set of numbers 11, 9, and 20 form the sides of a triangle?
never