# 1.5. Angle Pairs Practice

Select the button corresponding to the most correct angle pair description.

# 3.1. Naming Angle Positions

Definition: A transversal is a line that intersects 2 other lines at 2 distinct points. [br][br]In the applet, the dashed line below is a transversal. (Actually, each of the three lines displayed below is a transversal.)[br][br]When a transversal intersects 2 other lines, special names are given to certain pairs of angles. [br]These angle pairs are called [b]corresponding angles, alternate interior angles, alternate exterior angles, same-side interior angles, and same-side exterior angles[/b]. [br][br]Explore these angle pairs within the applet below. Then, answer the questions that follow.
1. What does the term "same-side" mean in the phrases "same-side interior angles" and "same-side exterior angles"? [br][br]2. What does the term "alternate" mean in the phrases "alternate interior angles" and "alternate exterior angles"? [br][br]3. Which of the four displayed angles would be considered "interior" angles? Why is this?[br][br]4. Which of the four displayed angles would be considered "exterior" angles? Why is this?[br][br]5. How would you describe, in your own words, what it means for a pair of angles to be described as "corresponding angles"?

# 4.5 Part 1: A Special Triangle Theorem: Disco…

[color=#000000]Use the applet below to serve as the template for your [/color][color=#0000ff][b][i]One Special Type of Triangle [/i][/b][/color][color=#000000]Investigation. [br][/color][b][color=#cc0000]The PDF file of [/color][color=#0000ff]this investigation[/color][color=#cc0000] can be found BELOW THE APPLET.[/color][/b]

# 5.1. Midsegment of a Triangle

Definition: A [b]midsegment of a triangle[/b] is a segment that connects the midpoints of any 2 sides of that triangle. [br][br]In the applet below, points [color=#1551b5]D[/color] and [color=#c51414]E[/color] are midpoints of 2 sides of triangle ABC. One [color=#0a971e]midsegment[/color] of Triangle ABC is shown in [color=#0a971e]green[/color]. [br]Move the vertices A, B, and C of Triangle ABC around. As you do, observe the two comments off to the right side. [br]Then, answer the questions below the applet.
Questions: [br][br]1) Identify the midsegment in the sketch.[br][br]2.) How many midsegments does a triangle have? [br][br]3.) What do you notice about the slopes of segments [color=#0a971e]DE[/color] and AB? What does this imply about these 2 segments? [br][br]4) What does the ratio of [color=#0a971e]DE[/color] to AB tell us about the [color=#0a971e]midsegment [/color]of any triangle? [br][br]5) If we refer to the black side of the triangle as the triangle's "3rd side", complete the following statement. Be sure to use the phrase "3rd side" in each blank below. [br][br] [b]The [color=#0a971e]MIDSEGMENT of a triangle[/color] is ALWAYS [br][br] i) ________________________________________________________________________, and[br][br] ii) ________________________________________________________________________. [/b]

# 6.1 Convex vs. Concave

In the applet below,[br][br]Any polygon that is [color=#ff7700][b]orange[/b][/color] is a [color=#ff7700][b]CONVEX POLYGON.[/b] [br][/color]Any polygon that is [color=#1e84cc][b]blue[/b][/color] is a [b][color=#1e84cc]CONCAVE POLYGON. [br][br][/color][/b]Interact with this applet for a few minutes. [br]As you do, be sure to move the polygon's BIG WHITE VERTICES AROUND! [br]Then, answer the questions that follow.