AnswersReading HS- Integrated Math IGeometric Figures in the Coordinate Plane

Geometric Figures in the Coordinate Plane Answers

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Given the equations of two lines, describe how to determine if the lines are parallel.

Answer:

Responses may vary but should include some or all of the following information: Find the slope and the y-intercept of each equation. The lines are parallel if their slopes are the same and their y-intercepts are different.

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Analyze the graph below and complete the instructions that follow. Give the most precise name for the polygon formed by points A, B, C, and D.

Question illustration
A
trapezoid
B
isosceles triangle
C
rhombus
D
parallelogram
4

Triangle ABC has vertices A(0, 2), B(x, 0), and C(0, -2). Determine the value of x that makes triangle ABC a regular triangle. A. 2 B. C. D. 4 Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
5

What is the most specific name that can be given to a figure with the following coordinates? (–10, 8), (–7, 13), (3, 7), and (0, 2)

A
rectangle
B
square
C
trapezoid
D
parallelogram
6

Analyze the graph below and answer the question that follows. Which of the following statements about the triangle shown above is true?

Question illustration
A
The triangle is scalene.
B
The triangle is an equilateral triangle in which the length of all three sides is 10.
C
The triangle is an isosceles triangle in which two sides are of length .
D
The triangle is an isosceles triangle in which two sides are of length 5.
7

Analyze the graph below and answer the question that follows. is isosceles. What is the equation of the line that contains the midpoints of the two sides of equal length?

Question illustration
A
x = 3
B
y = 3
C
x = 3.5
D
y = 3.5
8

Analyze the graph below and complete the instructions that follow. Show that the 4 points are the vertices of a trapezoid. A. The slope of and the slope of are both 1. The slopes of the other two line segments are not equal. B. The slope of and the slope of are both undefined. The slopes of the other two line segments are not equal. C. D. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
9

Analyze the graph below and complete the instructions that follow. Show that the 4 points form a trapezoid. A. The slope of and the slope of are both . The slopes of the other two line segments are not equal. B. The slope of and the slope of are both . The slopes of the other two line segments are not equal. C. D. Please select the best answer from the choices provided

Question illustration
A
A
B
B
C
C
D
D
10

Analyze the graph below and answer the question that follows. Which of the following is true?

Question illustration
A
All sides of the figure are of equal length, but no two adjacent sides have slopes that are negative reciprocals of one another. The figure is a rhombus.
B
Both pairs of opposite sides of the figure are of equal length. The figure is a parallelogram, but not a rhombus.
C
All sides of the figure are of equal length, and all adjacent sides have slopes that are negative reciprocals of one another. The figure is a square.
D
There are two disjoint pairs of congruent sides. The figure is a kite.
11

To show that 4 points are the vertices of a square, which of the following must be shown?

A
All sides are of equal length.
B
The diagonals are of equal length.
C
All sides are of equal length and the diagonals are of equal length.
D
All sides are parallel and the diagonals are of equal length.

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