Measuring and Drawing Angles
What is the measure of a right angle?
90 degrees
An angle measures 45°. Is it acute, right, obtuse, or straight?
acute
A triangle has one 90° angle. What type of triangle is this?
right triangle
How many lines of symmetry does a square have?
Answer: 4 (or four)
Question: A drawing uses a scale of 1 cm = 2 m. If a wall is drawn as 5 cm, what is the actual length of the wall?
Answer: 10 meters
If you use a protractor to measure an angle and it shows 145°, is this angle acute, right, or obtuse?
Obtuse
What is the name of an angle that measures exactly 180°?
straight
What is the sum of all angles in any triangle?
180 degrees
Question: A rectangle has _____ lines of symmetry.
Answer: 2 (or two)
Question: A rectangular garden is 8 m by 6 m. If you create a scale drawing with a scale factor of 3 what are the dimensions of the drawing?
Answer: 24m by 18m
Draw an angle that measures 60°. What type of angle is this?
Acute angle
If an angle measures between 89° and 179°, what type of angle is it?
obtuse
A triangle has angles measuring 60°, 60°, and 60°. Classify this triangle by its angles.
acute triangle or equilateral triangle
*Equilateral because all the angles are the same and acute because the angles are all less than 90 degrees.
How many lines of symmetry does a regular hexagon have?
Answer: 6 (or six)
Question: A scale drawing shows a rectangle with dimensions 4 cm by 6 cm. If the scale is 10, what are the actual dimensions? Answer: 40 m by 60m
Answer: 40 m by 60m
An obtuse angle measures between
91 and 179 degrees
Three angles measure 60°, 90°, and 120°. Classify each angle by type
Acute, right, and obtuse
A triangle has angles measuring 100°, 50°, and 30°. Classify this triangle by its angles. (2 names)
Obtuse Scalene Triangle
* obtuse because it has an angle over 90 degrees, and Scalene because all the angles are different
Does a parallelogram (that is not a rectangle) have any lines of symmetry?
Answer: No
Question: A room measures 5 m × 4 m. You want to draw it with a scale factor of 1:20. What will the drawing dimensions be?
Answer: 25 cm × 20 cm
a reflex angle measures between
181 and 359 degrees
An angle measures 0.5°. What type of angle is this, and why might you rarely see one in everyday geometry?
Acute angle; it's extremely small
A triangle has two angles measuring 45° each. What is the third angle, and what type of triangle is this? ( 2 names)
Answer: Third angle is 90°; it's a right isosceles triangle
* 2 angles are the same and one is different means it is an isosceles triangle and it is a a right triangle because it has a right angle.
Question: An equilateral triangle has _____ lines of symmetry, while an isosceles triangle (that is not equilateral) has _____.
Answer: 3 lines of symmetry; 1 line of symmetry
Question: A blueprint shows a building that is 10 m long. The actual building is 50 m long. What is the scale factor? Answer: 5
Answer: 5