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11. Connecting Algebra & Geometry Through Coordinates
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United States of AmericaVirginia
Geometry

11.01 Distance in the coordinate plane

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

The vertical segment joining $A$A $\left(-4,-2\right)$(−4,−2) and $B$B $\left(-4,3\right)$(−4,3) has been graphed on the number plane. Find the length of the segment.

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In the Cartesian coordinate system, two points labeled $A$A and $B$B are plotted. Point $A$A is positioned at the coordinates $\left(-4,-2\right)$(−4,−2), and Point $B$B at $\left(-4,3\right)$(−4,3). Both points $A$A and $B$B are marked with solid dots and are connected by a straight line to form a segment. The grid ranges from -10 to 10 on both the x-axis and the y-axis, with each axis appropriately labeled.
Easy
1min

The horizontal segment joining $A$A $\left(4,-4\right)$(4,−4) and $B$B $\left(9,-4\right)$(9,−4) has been graphed on the number plane. Find the length of the segment.

Easy
< 1min

Consider the triangle shown below.

Easy
1min

Use the triangle and the Pythagorean theorem to complete the following:

Easy
1min
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Outcomes

G.TR.4

The student will model and solve problems, including those in context, involving trigonometry in right triangles and applications of the Pythagorean Theorem.

G.TR.4g

Solve problems, including those in context, involving right triangles using the Pythagorean Theorem and its converse, including recognizing Pythagorean Triples.

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