Side-Side-Angle (Sometimes) Congruence: IM Geo.2.11
1. Geo.2.11 Lesson
1. IM Geo.2.11 Lesson: Side-Side-Angle (Sometimes) Congruence
2. Geo.2.11 Practice
1. IM Geo.2.11 Practice: Side-Side-Angle (Sometimes) Congruence

0

Side-Side-Angle (Sometimes) Congruence: IM Geo.2.11

GeoGebra Classroom Activities, 3 déc. 2020

[url=https://im.kendallhunt.com/HS/teachers/2/2/11/preparation.html]“Side-Side-Angle (Sometimes) Congruence”[/url] from IM Geometry © 2019 [url=https://www.illustrativemathematics.org/]Illustrative Mathematics[/url]. Licensed under the [url=https://creativecommons.org/licenses/by/4.0/]Creative Commons Attribution 4.0[/url] license.

Table des matières

Geo.2.11 Lesson
1. IM Geo.2.11 Lesson: Side-Side-Angle (Sometimes) Congruence
Geo.2.11 Practice
1. IM Geo.2.11 Practice: Side-Side-Angle (Sometimes) Congruence

1.

Geo.2.11 Lesson

1. IM Geo.2.11 Lesson: Side-Side-Angle (Sometimes) Congruence

1.1.

IM Geo.2.11 Lesson: Side-Side-Angle (Sometimes) Congruence

What do you notice? What do you wonder?

In triangles [math]GBD[/math] and [math]KHI[/math]:[br][list][*]Angle [math]GBD[/math] is congruent to angle [math]KHI[/math].[/*][*]Segment [math]BD[/math] is congruent to segment [math]HI[/math].[/*][*]Segment [math]DG[/math] is congruent to segment [math]IK[/math].[/*][/list]

Use the applet below to make a triangle using the given angle and side lengths so that the given angle is not between the 2 given sides. Try to make your triangle different from the triangles created by the other people in your group.[br][list][*]Angle: [math]40^{\circ}[/math][/*][*]Side length: 6 cm[/*][*]Side length: 8 cm[/*][/list]

Your teacher will assign you some sets of information.

[list][*]For each set of information, use the applet below to make a triangle using that information.[/*][*]If you think you can make more than one triangle, make more than one triangle.[/*][*]If you think you can’t make any triangle, note that.[/*][/list]

When you are confident they are accurate, create a visual display.

Triangle ABC is shown. Use your straightedge and compass to construct a new point D on line AC so that the length of segment BD is the same as the length of segment BC.

[size=150]Now use the straightedge and compass to construct the midpoint of [math]CD[/math]. Label that midpoint [math]M[/math].[/size][br][br]Explain why triangle [math]ABM[/math] is a right triangle.[br]

Explain why knowing the angle at [math]A[/math] and the side lengths of [math]AB[/math] and [math]BC[/math] was not enough to define a unique triangle, but knowing the angle at [math]A[/math] and the side lengths of [math]AB[/math] and [math]BM[/math] would be enough to define a unique triangle.[br]

2.

Geo.2.11 Practice

1. IM Geo.2.11 Practice: Side-Side-Angle (Sometimes) Congruence

0

Side-Side-Angle (Sometimes) Congruence: IM Geo.2.11

Table des matières

1.

Geo.2.11 Lesson

1.1.

IM Geo.2.11 Lesson: Side-Side-Angle (Sometimes) Congruence

What do you notice? What do you wonder?

Your teacher will assign you some sets of information.

When you are confident they are accurate, create a visual display.

Triangle ABC is shown. Use your straightedge and compass to construct a new point D on line AC so that the length of segment BD is the same as the length of segment BC.

2.

Geo.2.11 Practice

2.1.

IM Geo.2.11 Practice: Side-Side-Angle (Sometimes) Congruence

Jada states that diagonal WY bisects angles ZWX and ZYX.

WXYZ is a kite. Angle WXY has a measure of 94 degrees and angle ZWX has a measure of 112 degrees.

Andre is thinking through a proof using a reflection to show that a triangle is isosceles given that its base angles are congruent.

The triangles are congruent.

Information