## KatherinePierce1864 2 years ago The pair of polygons at the right is congruent. What is mJ? (1 point) 45 90 135 145

1. KatherinePierce1864

2. KatherinePierce1864

2. The triangles below are congruent. Which of the following statements must be true? <A = <D <B = <E AB = DE BC = DF

You might notice that: |dw:1352640138841:dw| A+B=180 and second question, BCA=FDE,so B=F, C=D, A=E, BC=FD, and so on

4. KatherinePierce1864

@Shadowys so for the first question the answer would be 45? and the second would be BC = DF?

yup! :) smart one!

6. KatherinePierce1864

@Shadowys do you think you help me with this last question? 3. Given the diagram at the right, which of the following must be true? XSF = XTG SXF = GXT FXS = XGT FXS = GXT

To solve such problems, first label the congruent triangles by their position. FXS=TXG because of the position of the sides.

8. KatherinePierce1864

so FXS = XGT or FXS = GXT?

No. the positions can be rotated but not interchanged. i.e. FXS=TXG is same as SXF=GXT

10. KatherinePierce1864

@Shadowys Thank you!! I got a 100 on my test!! :)