A kite is a quadrilateral which has 2 sides next to each other that are congruent and where the other 2 sides are also congruent. Given kite WXYZ, show that at least one of the diagonals of a kite decomposes the kite into 2 congruent triangles.
Mai has proven that triangle XYZ is congruent to triangle WYX using the Side-Side-Side Triangle Congruence Theorem. Why can she now conclude that diagonal WY bisects angles ZWX and ZYX?
WXYZ is a kite. Angle WXY has a measure of 133 degrees and angle ZWX has a measure of 60 degrees. Find the measure of angle ZYW.
Each statement is always true. Select all statements for which the converse is also always true.
Prove triangle ABD is congruent to triangle CDB.
DC || AB
Triangles ACD and BCD are isosceles. Angle DBC has a measure of 84 degrees and angle BDA has a measure of 24 degrees. Find the measure of angle BAC.
Reflect right triangle ABC across line AB. Classify triangle CAC' according to its side lengths. Explain how you know.
This lesson is from Illustrative Mathematics. Geometry, Unit 2, Lesson 9. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/2/2/9/index.html ; accessed 29/July/2021.
IM Algebra 1, Geometry, Algebra 2 is © 2019 Illustrative Mathematics. Licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).
The Illustrative Mathematics name and logo are not subject to the Creative Commons license and may not be used without the prior and express written consent of Illustrative Mathematics.
These materials include public domain images or openly licensed images that are copyrighted by their respective owners. Openly licensed images remain under the terms of their respective licenses. See the image attribution section for more information.