Lesson 9.1 Polygons in the Coordinate Plane

Lesson 9.1 Polygons in the coordinate plane

By CHRISTOPHER CAVIN

Math Response

What is the slope of the line shown?

Type answer here

Correct Answer: \frac{1}{2}

Deg^°

Rad

Multiple Choice

Are the two lines shown parallel? Explain.

• Yes, because they have the same slopes

• Yes, because they have different slopes

• No, because they have the same slope

• No, because they have different slopes

Multiple Choice

Are the two lines shown parallel? Explain.

• Yes, because they have the same slope.

• Yes, because they have different slope.

• No, because they have the same slope.

• No, because they have different slopes.

Multiple Choice

Suppose a certain line has a slope of $$\frac{2}{5}$$ . What is the slope of the line that is perpendicular to it?

• $$\frac{2}{5}$$

• $$-\frac{5}{2}$$

• $$-\frac{2}{5}$$

• $$\frac{5}{2}$$

​What is the length of AB?
What is the length of AD?


What is the length of BD?

​How can I find the length of AB?

How can I find the midpoint of BC?


How can I determine if angle B is a
right angle?

​Is triangle XYZ a scalene, isosceles, or
equilateral triangle? How can we tell
(mathematically)?

​Is triangle XYZ an acute, right, or obtuse
triangle? How can we tell?

​Write this down! To determine if a triangle is acute, right, or obtuse when you know the side lengths:

​If: it is a right triangle.



If: it is an acute triangle.


If: it is an obtuse triangle.

Multiple Choice

The vertices of $$\Delta PQR$$ are $$P\left(4,1\right),\ Q\left(2,7\right),\ and\ R\left(8,5\right).$$ Which of the following best describes the triangle?

• acute and scalene

• obtuse and scalene

• acute and isosceles

• right and isosceles

• acute and equilateral

​Is RSTU a parallelogram? How can we
determine?


If it is a parallelogram, what is the most
precise description of it?

Multiple Select

What type of quadrilateral is the quadrilateral ABCD with vertices A (-2, 2), B (4, 6), C (6, 3), and D (0, -1)? Select all that apply.

• Parallelogram

• Rhombus

• Rectangle

• Square

• Trapezoid

​Is ABCD a trapezoid?

​Is JKLM a kite?

Multiple Choice

What type of quadrilateral is PQRS?

• Kite

• Trapezoid

• Neither

Multiple Choice

What type of quadrilateral is WXYZ?

• Kite

• Trapezoid

• Neither

Math Response

What is the perimeter in units? (enter only the number - if necessary, round to the nearest hundredths).

Type answer here

Correct Answer: 20.93

Deg^°

Rad

​What would the EXACT length be, if we simplified the radical expression?

Math Response

How many square units is the area? (only enter number - if necessary, round to the hundredths place).

Type answer here

Correct Answer: 25

Deg^°

Rad