Vocab
_______ have a sum of 90 degrees
Complementary angles
Two ratios that are equal is called a
Proportion
How many triangles can be drawn with side lengths of 3 inches, 5 inches, and 6 inches?
Only 1 triangle
What is the supplement of 87 degrees?
93 degrees
What is the circumference of a circle with a radius of 5 meters? Use 3.14 for pi
31.4 m
______ have a sum of 180 degrees
On a model castle, 1 inch equals 54 feet. The model is 10.5 inches wide. What is the actual width of the castle?
567 feet
When given angle measures of 25°, 65°, and90°, is it impossible to draw a triangle, possible to draw only one triangle, or possible to draw more than one triangle? Explain.
Possible to draw more than 1
If two angles are vertical, 3x and (x + 6), what does x equal?
3
What is the area of a circle with the diameter of 12 cm. Use 3.14 for pi
113.04 cm squared
Two angles that are equal and opposite to each other
Vertical angles
A blueprint of a room is drawn to a scale of 2 inches = 7 feet. The length in the blueprint is 5 inches. What is the length of the actual wall?
17.5 feet
Can more than one triangle be drawn with side lengths of 4 centimeters and 2 centimeters and an included angle of 50°?
No
What is m∠ABE?
145.5
The radius of a circle is 14 inches. What is the circumference of the circle? Use 3.14 for pi
87.92 in
Two angles that share a ray and a vertex (right next to each other)
Adjacent angles
Meeting room has a width on 1.5 inches and a length of 4 inches. The scale is 1in = 3 yards
What is the actual area of the meeting room in square yards?
54 yards squared
What quadrilaterals could describe a shape that has two sides with length 6 cm and two sides with length 10 cm.
Rectangle, parallelogram, or kite
The figure shows ∠ABD is 90°, split by line BC. The measure of ∠ABC is x° and the measure of ∠DBC is (2x + 20)°. What is the value of x? Round to nearest hundredth
23.33
The diameter of the logo at the center of a basketball court is 10 feet. What is the area of the logo? Use 3.14 for pi
A = 78.5 ft squared
The distance around a circle is the
Circumference
On a scale drawing of a basketball court, 2 inch equals 12 feet. What is the actual area of the basketball court if the scale drawing is 9 inches by 5 inches?
1,620 feet squared
What quadrilaterals can you draw that have two angles measuring 115° and two angles measuring 65°?
Trapezoid, parallelogram, rhombus, or kite
What is m∠AHM?
55
The circumference of a bicycle tire is 126.5 centimeters. What is the diameter of the tire? Use 3.14 for pi. Round to the nearest tenth
40.3 cm