Which of the Following Pairs of Lines Are Perpendicular

Given quadrilateral RSTU determine if each pair of sides if any are parallel and which are perpendicular for the coordinates of the vertices. Determine whether the lines are parallel intersect or coincide.

Worksheet Types Of Lines Identifying And Classify Pairs Of Lines As Intersecting Parallel Or Perpendicular Types Of Lines 3rd Grade Math Math Classroom

So slope of these line are m 1 3 m 2 3.

. Find the negative reciprocal of the slope from step 1. Option F Thus the pair of line is perpendicular. They are perpendicular if and only if the product of their slopes is.

Y mx b. This is not the case. The equation of a straight line is.

We know that x and y axis are perpendicular to each other and the provided lines follows the same property. Y 5x - 7 b. Since the slopes are not perpendicular.

Hence the slopes are negative inverse of each other. 1 and 7 2 and 8. Standing at right angles to the plane of the horizon.

So these lines are parallel. Lines j and k are. If two lines are perpendicular to the same line then they both are.

Hence the lines are perpendicular to each other and mathematically it is represented. Here m 1 m 2 3. Y 15 x - 5.

We can show that two lines are perpendicular if the product of the two slopes is latex-1m_1cdot m_2-1latex. Up to 10 cash back Explanation. Y x are variables m is the slope of the line and b is the y intercept.

Entry 1 of 2 1a. Y - 5x 7 d. Two lines are said to be perpendicular if the product of their slopes is -1.

Use the point-slope. One line has a slope of 3. A 3 x-5 y1 and 2 xy2 b 2 x7 y1 and x-y5 c 3 x-5 y1 and 5 x3 y7 d -xy2 and xy9.

3x - 4y 15. The other line has a slope of latex-frac13latex. If two lines are parallel then they have the same slope.

Y 15 x - 5 c. 3 and 6 4 and 5. Y23x-8 and y-32x-8.

If two lines are perpendicular then the product of their slopes is 1. In this case the slope of the line is and the slope of the line is. M 1 m 2 1.

Y 15 x - 5. 445 1227 Views. For example Figure 4 shows the graph of two perpendicular lines.

Pairs of interior angles on the same side of the transversal. SOLVEDWhich of the following pairs of lines are perpendicular. If the slopes of two lines can be calculated an easy way to determine whether they are perpendicular is to multiply their slopes.

Two lines are perpendicular. Consider the above-given figure the line PQ and RS forms a right angle when the lines intersect at a point. From the pair of lines the ones which are perpendicular are.

Which of the following cannot be the equation of the second line. Thus the pair of line is perpendicular. Perpendicular lines always meet or intersect each other.

Perpendicular lines always intersect at the right angle ie. 3 and 5 4 and 6. Pairs of Alternate interior angles.

Solve both equations for y to find the slope-intercept form of the equations. Ashley Ramon Geometry Unit 5 Parallel and Perpendicular Lines 52. Being at right angles to a given line or plane.

Solve the system by any method if possible. M 1 m 2. But the above pairs of angles are formed for two non-parallel lines here.

Y 15 x - 5. Y 15x 6. Pairs of Alternate exterior angles.

If the product of the slopes is then the lines are perpendicular. Compute the slope of the line given. Steps for Constructing a Pair of Perpendicular Lines.

Which of the following pairs of lines are perpendicular. The following are the general properties of perpendicular lines-. View 52_Pairs_of_Perpendicular_Linespdf from MATH Algebra at Harry D Jacobs High School.

Y 15 x - 5. See the answer See the answer done loading. Line k passes through the points 00 and -d c.

The lines are neither parallel nor. The equation of the first line is y 4x 1. Line j passes through the points 0 0 and c d.

The perpendicular lines are two lines that intersect each other and the angle formed between the two lines should be equal to 90 degrees right angle. Y 3 x 4 y 3 x 5 2. Y3 is a horizontal line parallel to x-axis and x4 is a vertical line parallel to y axis.

This is not the case since. 19 Votes Two lines are parallel if and only if they have the same slope.

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