Tenth Grade (Grade 10) Points, Lines, and Planes Questions for Tests and Worksheets

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Grade 10 Points, Lines, and Planes CCSS: HSG-CO.C.9

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Which of the following reasons ensures that lines

$k$ and

$m$ are coincident after the translation by

$vec{AB}$ , given that line

$k$ now passes through point

$B?$

Rigid transformations don't change size or shape.
No rotations or reflections were used in the transformation, thus the slope of the line cannot change.
Point $A$ maps to point $B$ , and point $A$ was on line $k$ , thus these two points define a line, which is $k$ .
The Parallel Postulate and the fact that the slope of line $k$ remains unchanged by translations.

Grade 10 Points, Lines, and Planes

Equidistant is when one object is the same distance from two or more objects.

Grade 10 Points, Lines, and Planes

When naming a ray the first letter is the point where the ray .

is named
ends
begins

Grade 10 Points, Lines, and Planes CCSS: HSG-CO.C.9

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What still needs to be done in order to complete the proof?

Consider other points on $l$ , showing the same thing holds true for these other points.
Redraw the diagram, showing that the results are still true if $l$ is horizontal and $bar{AC}$ is vertical.
State that, if the point on $l$ lies on $bar{AC}$ , that it is equidistant from points $A$ and $B$ , due to $l$ bisecting $bar{AC}$ (from given information).
Nothing, it is complete.

Grade 10 Points, Lines, and Planes

If all lines are congruent, and if all rays are congruent, will all LINE SEGMENTS also be congruent?

Grade 10 Points, Lines, and Planes CCSS: HSG-CO.A.1

Lines that will never cross and have the same slope (steepness) are called perpendicular lines.

True
False

Grade 10 Points, Lines, and Planes CCSS: HSG-CO.C.9

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What is the missing statement in step 3?

$l ~= l$
$bar{BP} ~= bar{BP$
$bar{AB} ~= bar{BC}$
$bar{AC} ~= bar{AC}$

Grade 10 Points, Lines, and Planes

Given any two points, it is possible to draw a line between them.

True
False

Grade 10 Points, Lines, and Planes

The point of concurrency is where 3 or more lines coincide.

Grade 10 Points, Lines, and Planes

How many dimensions (measurements) does a line have?

Grade 10 Points, Lines, and Planes

It is possible for three points which are NOT co-linear to be on the same line.

True
False

Grade 10 Points, Lines, and Planes

Two airplanes are approaching an airport to land. The pilot in plane A records an angle of descent of 15 degrees for her plane. A person near the runway finds the angle of elevation to plane B to be 15 degrees. Are the two planes descending at the same angle? Sketch a diagram and show your work.

Grade 10 Points, Lines, and Planes CCSS: HSA-CED.A.1

AB = 4x - 15 and BC = 2x + 3. If AC = 48, find the value of x.

Grade 10 Points, Lines, and Planes

Name the figure using appropriate symbols.

Grade 10 Points, Lines, and Planes

It is possible for any two points to NOT be co-linear on at least one line.

True
False

Grade 10 Points, Lines, and Planes

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$ang2 and ang6$

Grade 10 Points, Lines, and Planes

To have a finite length means that there is NO beginning or end.

True
False

Grade 10 Points, Lines, and Planes

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$ang4 and ang5$

Grade 10 Points, Lines, and Planes

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$ang4 and ang8$

Grade 10 Points, Lines, and Planes

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$ang3 and ang5$

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Tenth Grade (Grade 10) Points, Lines, and Planes Questions