SOLUTION: This figure shows a quadrilateral made of triangle ABF and triangle DEC.
https://byuis.brainhoney.com/Resource/46824920,0/Assets/Media/Images/41.4.HOT2.quad.jpg
a. What does
Algebra.Com
Question 1041083: This figure shows a quadrilateral made of triangle ABF and triangle DEC.
https://byuis.brainhoney.com/Resource/46824920,0/Assets/Media/Images/41.4.HOT2.quad.jpg
a. What does it mean for triangles to be congruent?
b. Jane is told that angle A is congruent to angle D and angle B is congruent to angle E. She concludes that the triangles are congruent because of AAA. Explain why she thinks this, and whether or not you think she is right.
c. George is told the same thing as Jane, but he concludes that the triangles are congruent because of ASA. Explain why he thinks this, and whether or not you think he is right.
d. Are there any other ways the two triangles could be congruent with the information Jane and George have been given? Explain why you think this.
Thanks in advance!
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
Labeling is different than expected but call the upper case letters as points.
Points B and C name the same point.
Points F and E name the same point.
(a) the two triangles have the same angle measures and the same length measures for their corresponding parts. Their orientations are different but their corresponding parts are of equal measures.
(b) AAA says nothing about the sides of the triangles, but the two triangles share one corresponding side, so this should be enough to say that the two triangles are congruent, ... ASA Theorem (two angles and the included side between them.)
(c) Good for George! See what is discussed in (b).
RELATED QUESTIONS
A desk is made up of 2 rectangles and a triangle. what is the area of the figure?... (answered by ikleyn)
The figure shows an isosceles triangle with equal sides of
length "a" surmounted by a... (answered by math_helper)
https://ibb.co/jgpq3pX (Please copy paste the link to view the figure)
Given: AE = DE; (answered by CPhill)
What is the area of this composite figure of a rectangle and triangle?
Image of... (answered by josgarithmetic)
Look at the figure below:
Triangle EFD has the measure of angle EFD equal to 60... (answered by mccravyedwin)
I need help badly on this please.
Quadrilateral RSTU, diagonals SU and RT intersect at (answered by Boreal)
The figure below shows a right triangle with a hypotenuse equal to 18 cm. How long, in... (answered by ikleyn)
For the figures below, assume they are made of semicircles, quarter circles and squares.... (answered by solver91311)
Hi! How are you? I have a question pertaining to writing a proof.
This is what the... (answered by LinnW)