9.
Name the triangles that are classified by angles. (1 point)
right, scalene, isosceles
scalene, isosceles, equilateral
acute, right, obtuse
obtuse, isosceles, acute
11.
Name the quadrilaterals that have four equal sides. (1 point)
rhombus, square
square, rectangle
parallelogram, rhombus
rhombus, trapezoid
12.
What is the sum of the interior angles for a pentagon? (1 point)
900º
540º
720º
108º
My answers:
9. scalene, isosceles, equilateral
11. rhombus, square
12. 540º
Right.
Your answers are correct.
In problem #9, right, scalene, and isosceles describe types of triangles, but some triangles can fit two of the definitions.
Okay, I think that is why I was confused. But #9 is still right, no?
Thank you, Ms. Sue and "drwls"!
To answer question 9, you need to know the definitions of the different types of triangles based on their angles.
1. Right Triangle: A triangle with one angle measuring 90 degrees.
2. Scalene Triangle: A triangle with all three angles of different measures.
3. Isosceles Triangle: A triangle with two angles of the same measure.
4. Equilateral Triangle: A triangle with all three angles measuring 60 degrees.
Analyzing the answer choices, option 1 is incorrect because it does not include equilateral triangles. Option 2 is also incorrect because it does not include right triangles. Option 4 is incorrect because it includes obtuse triangles instead of equilateral triangles. Thus, the correct answer is option 3 - acute, right, obtuse.
To answer question 11, you need to understand the properties of different types of quadrilaterals.
1. Rhombus: A quadrilateral with four equal sides.
2. Square: A quadrilateral with four equal sides and four right angles.
3. Rectangle: A quadrilateral with four right angles, but the opposite sides are not necessarily equal.
4. Parallelogram: A quadrilateral with opposite sides parallel and equal in length.
5. Trapezoid: A quadrilateral with one pair of parallel sides.
Looking at the answer choices, option 1 includes both rhombus and square, which have four equal sides. Option 2 only includes square, and option 3 includes rhombus and parallelogram. Option 4 includes rhombus, but not all the sides are equal in trapezoid. Therefore, the correct answer is option 1 - rhombus, square.
To answer question 12, you need to know the formula for calculating the sum of interior angles in a polygon.
The formula for the sum of interior angles in a polygon is (n-2) * 180, where n represents the number of sides.
Substituting n = 5 (since a pentagon has five sides), we have (5-2) * 180 = 3 * 180 = 540 degrees.
Therefore, the correct answer is 540º.