1. Geometry Basics

1.01 Points, lines, and planes

Investigation: Construct congruent segments

1.02 Line segments and distance

Investigation: Construct segment bisectors

1.03 Points and midpoints

1.04 Review: Slopes of lines

Investigation: Slope, distance, and midpoint partner activity

Investigation: Construct angles measuring 30, 45 or 60 degrees

1.05 Review: Angles and angle measure

Investigation: Construct congruent angles

1.06 Review: Angle relationships

Investigation: Sketch a crime scene using geometry

United States of America NY

Geometry

1.04 Review: Slopes of lines

Interactive practice questions

A certain ski resort has two ski runs.

Two ski runs on a slope are labeled as Run A and Run B. Run A depicts a skier at a higher elevation with a vertical drop of $19$19 m, while Run B features a skier at a lower elevation with a vertical drop of $6$6 m. Both runs are illustrated within right triangles that indicate the slope's incline, with the hypotenuses representing the ski paths. The base of the triangle for Run B measures $17$17 m, and the base of the triangle for Run A measures $25$25 m.

a

Find the slope of ski slope $A$A. Give your answer as a decimal to two decimal places.

b

Find the slope of ski run $B$B. Give your answer as a decimal to two decimal places.

c

Which run is steeper?

Ski run $A$A

A

Ski run $B$B

B

Easy

3min

Find the slope of the line that passes through Point A $\left(-1,0\right)$(−1,0) and Point B $\left(0,3\right)$(0,3) using $m=\frac{\text{rise }}{\text{run }}$m=rise run .

Easy

1min

Find the slope of the line that passes through Point A $\left(2,-6\right)$(2,−6) and the origin using $m=\frac{\text{rise }}{\text{run }}$m=rise run .

Easy

1min

Find the slope of the line that passes through Point A $\left(3,5\right)$(3,5) and Point B $\left(1,8\right)$(1,8), using $m=\frac{y_2-y_1}{x_2-x_1}$m=y2−y1x2−x1.

Easy

1min

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