Parallel lines
Triangle Classification
Triangle Sum
Triangle Inequality
Pythagorean Theorem
100
Corresponding angles are on the _________ side of the transversal and have the __________ position
Same, Same
100
Classify the triangle with side lengths 8 cm, 8 cm, and 8 cm by its sides.
A. Scalene
B. Isosceles
C. Equilateral
D. Right
C. Equilateral
100
Interior angles of a triangle add to?
180 degress
100
State the Triangle Inequality Theorem.
The sum of the two smaller legs of a triangle is going to be larger than the length of the hypotenuse (the longest side)
100
Determine whether a triangle with side lengths 3, 4, 5 is acute, right, or obtuse.
Right
200
Alternate interior angles are on the _________ side of the transversal and are _________ the parallel lines
They have the ________ angle measure
Opposite, in between, same
200
A triangle has angle measures 35°, 55°, and 90°.
Classify the triangle by its angles.
A. Acute
B. Right
C. Obtuse
D. Equilateral
B. right
200
A triangle has angle measures 65° and 48°.
What is the measure of the third angle?
67
200
Can these side lengths, form a triangle?
5 , 18 , 13
No they can not.
18 is not greater than 18
200
Determine whether a triangle with side lengths 5, 6, 7 is acute, right, or obtuse.
Acute (25 + 36 = 61 > 49)
300
Parallel lines l and m are cut by a transversal.
If one acute angle measures 43°, what are the measures of the other seven angles?
Four angles = 43°
Four angles = 137°
300
A student says,
"Every triangle with two equal sides is equilateral."
Is the student correct? Explain.
No.
A triangle with exactly two equal sides is isosceles.
An equilateral triangle has three equal sides.
300
What is the value of x, and the angle (x+12)
x= 96, the angle measure is 108
300
a triangle ABC, has line segment lengths of 5ft = AB and 3ft = BC. What is the range of lengths of line segment AC
AC is between 2 and 8 ft
300
Determine whether a triangle with side lengths 7, 9, 12 is acute, right, or obtuse.
9, 12 is acute, right, or obtuse.Obtuse (49 + 81 = 130 < 144)
400
A student says:
"Alternate exterior angles always add to 180°."
Is the student correct? Explain.
No.
Alternate exterior angles are congruent, not supplementary.
400
Define an Acute triangle
A triangle with 3 angles with measures less that 90 degrees
400
A triangle has two angles measuring 45° and 45°.
Without doing any additional calculations, determine:
- the third angle
- whether the triangle is acute, right, or obtuse
Third angle:
180 − 45 − 45 = 90
The triangle is right.
400
X is between 2 and 22
400
A triangle has side lengths 8, 15, and x. If the triangle is a right triangle, what is the value of x?
x = 17
500
Identify all four angle relationships in one diagram
There are many answers!
500
What is the measure of the missing angle measure? 
25 degrees.
500
An architect is designing a triangular support beam. Two beams measure 25 ft and 32 ft.
A supplier has beams measuring:
- 6 ft
- 12 ft
- 20 ft
- 40 ft
- 58 ft
Which beam(s) could be used as the third side of the triangle? Explain your reasoning.
12, 20, and 40
500
A student says the triangle with side lengths 10, 11, and 17 is acute because
102 + 112 = 221
and
172 =289
Do you agree? Explain.
No.
Since
221 < 289
the triangle is obtuse, not acute.