Angles and Lines — Test Answers

What is the value of d ?

If m angle 1 is equal to 110 degrees , what is m angle 4 ?

Lines AC and RS can best be described as

Which statement best explains the relationship between lines FG and HJ ?

Statements Reasons 1. line segment NM is parallel to line segment PO 1. given 2. angle 2 is congruent to angle 3 2. alternate interior angles theorem 3. angle 1 is congruent to angle 3 3. given 4. angle 1 is congruent to angle 2 4. ? 5. line segment LM is parallel to line segment NO 5. converse of alternate interior angles theorem What is the missing reason in the proof?

What is the length of segment TQ ?

Which point on the y -axis lies on the line that passes through point cap g and is parallel to line DF ?

What is the equation, in slope-intercept form, of the perpendicular bisector of the given line segment?

What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point open paren negative 1 comma negative 1 close paren ?

Based on this information, which pair of lines, together, could be perpendicular to line segment RS ? Choose two correct answers.

If A is parallel to b and e is parallel to f , what is the value of y ?

What is the value of y ?

The measure of one angle is 130 degrees Which statement is true regarding the 130 degrees angle and angle 3 ?

What is the slope of a line that is parallel to the line shown on the graph?

A circular mirror will be decorated with a rope around the edge. A scale drawing on the coordinate plane shows the center of the circle at (0,12) and a point on the circumference at (−16,−12) These two points are collinear. What is the approximate length of rope needed to go around the mirror? Use 3.14 for π , and round your answer to the nearest hundredth. Enter your answer in the box.

Alejandro made an error in the steps when determining the equation of the line that is perpendicular to the line 4 x minus 3 y is equal to negative 8 and passes through the point 3 comma negative 2 Step Alejandro's Work 1 The equation written in slope-intercept form is y is equal to 4 thirds x plus 8 thirds , which has a slope of 4 thirds 2 The slope of the line perpendicular to the given line is negative 4 thirds 3 Substituting the point and the new slope into point-slope form results in y minus negative 2 is equal to negative 4 thirds times open paren x minus 3 close paren 4 Simplifying, the equation of the line is y plus 2 is equal to negative 4 thirds times open paren x minus 3 close paren Alejandro made his first error in which step?

A given line has the equation 2 x plus 12 y is equal to negative 1 What is the equation, in slope-intercept form, of the line that is perpendicular to the given line and passes through the point open paren 0 comma 9 close paren ?

A stained glass window is graphed on a coordinate plane with vertices at W (8,8) , X (9,4) , Y (2,−2) , and Z (4,7) A line through the longer diagonal has the equation y=(5)/(3)⁢x−(16)/(3) How can midpoints be used to help determine whether the shape is a kite?

The plans for a building show a roof part as a rectangle with the vertices R (−25,−9) , S (2,−63) , T (26,−51) , and U (−1,3) What is the approximate area of the roof part on the plans? Round the answer to the nearest whole number if necessary. Enter your answer in the box.

What is the slope of a line that is perpendicular to the line y is equal to 1 sixth x plus 4 ?