Angle Relationships
Angle 1 and angle 2 are complementary. If angle 1 is 47 degrees, what is the measure of angle 2?
43 degrees
Triangle ABC has angle measures of 82 degrees and 25 degrees. What is the measure of the third angle in triangle ABC?
73 degrees
Can these side lengths form a triangle?
4 cm, 5 cm, 7 cm
Yes, because 4+5=9 and it is greater than 7
A circle has a radius of 7 cm. What is the circumference? (remember C=2*pi*r).
~43.96 cm
The radius of a circle measures 35 yards. What is the area of the circle?
~3,846.5 yards^2
Angle DEF and Angle XYZ are supplementary. If angle DEF measures 17 degrees, what is the measure of angle XYZ?
163 degrees
Triangle JKL has angle measures of 73 and 54 degrees. What is the measure of the third angle?
53 degrees
Can these 3 sides form a triangle?
16, 8, 8
No, because 8+8=16, and 16 is not greater than 16.
A circle has a radius of 2.5 inches. What is the circumference? (remember 2*pi*r)
~15.7 inches
The radius of a circle measures 5.3 yards. What is the area of the circle?
~88.2 yards
Angle ABC and DEF are vertical angles. If angle ABC is 3x and angle DEF is 120 degrees, how many degrees is angle ABC?
120 degrees
Triangle ABC is an equilateral triangle. What are the measures of each of its angles?
60 degrees
Which sets of measurements could be the side lengths of a triangle? Select all that apply.
A. 3 cm, 3 cm, 3 cm
B. 4 cm, 8 cm, 13 cm
C. 5 cm, 9 cm, 14 cm
D. 6 cm, 7 cm, 8 cm
E. 7 cm, 7 cm, 10 cm
A. 3 cm, 3 cm, 3 cm
D. 6 cm, 7 cm, 8 cm
E. 7 cm, 7 cm, 10 cm
Ben used wire fencing to form a border around a circular region in his backyard. The radius of the circular region was 5 yards.
How many yards of fencing did Ben use?
~31.4 yards
The diameter of a circle measures 30 inches. What is the area of the circle?
~706.5 inches^2
Determine whether the statement is always true, sometimes true, or never true.
Adjacent angles can be complementary.
always true
Sometimes true
never true
Sometimes true
Triangle MNO has two angles that measure 22.5 degrees and 103.6 degrees. What is the measure of the third angle?
53.9 degrees
The two smaller side lengths of a triangle are 13 inches and 9 inches.
What is the largest possible integer length of the longest side?
A. 20 inches
B. 21 inches
C. 22 inches
D. 23 inches
B. 21 inches
The circumference of a circle is 70 millimeters.
What is the radius of the circle?
~11.15 millimeters
A circular mirror has a diameter of 18 inches. What is the area of the mirror?
~254.34 inches^2
Angle 1 and Angle 2 are complementary. If angle 1 is 2x and angle 2 is 64, what is x?
x=13
Triangle XYZ is an isosceles triangle. One of its angles measures 28 degrees. What are the measures of the 2 missing angles?
Each missing angle is 76 degrees
Triangle ABC has two side lengths of 24 in and 32 in. Name a possible length for the third side of triangle ABC.
Answers may vary
Triangle ABC has side lengths of 4, 7, and 10. If triangle ABC is enlarged by a scale factor of 3, what are the new side lengths?
12, 21, and 30
The diameter of a circle measures 8.6 yards. What is the area of the circle?
~58.1 yards^2