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Geometry Section 4-2A Correspondence and Congruence Pg. 256 – Please get your book. Wednesday, you will need a ruler (cm) and protractor. Consider: Which figures are congruent? Why?. Pg. 256.
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Geometry Section 4-2ACorrespondence and CongruencePg. 256 – Please get your book.Wednesday, you will need a ruler (cm) and protractor.
Consider:Which figures are congruent? Why? Pg. 256 For the pairs of congruent figures, what transformations are necessary to move one figure so that it coincides with the other?
The 2 triangles on page 256 are congruent. Measure the segments and angles to find the corresponding parts. AB YX BC ZY CA XZ ÐA ÐX ÐB ÐY ÐC ÐZ Pg. 256 rABC @rZYX
Suppose rJKL @rPQR. List all pairs of sides and angles that must be congruent. JK @ KL @ JL @ ÐJ @ ÐK @ ÐL @ PQ Letters MUST be in the correct order! QR PR ÐP ÐQ ÐR
Write a congruence statement for these triangles. Try It: Pg. 257 rMNO @rTUS
A correspondence between two geometric figures is any way of pairing up their vertices. A congruence correspondence matches the vertices so that all pairs of corresponding parts are congruent. Pg. 257
The symbol for “corresponds to” is «. For example rABC«rZYX. The order of the letters in the statement specifies the corresponding sides and angles. Pg. 257
Definition: Two triangles are congruenttrianglesif and only if all of their corresponding parts are congruent. Pg. 258 Congruent triangles Non-Congruent triangles
Give a congruence correspondence for each figure. Use the figure @ to write the congruence. #1 Pg. 258 rDEF @rXZY
Give a congruence correspondence for each figure. Use the figure @ to write the congruence. #2 Pg. 258 rGHI @rNPM
Draw rXYZ and rUVW so that rXYZ @rUVW. Mark the congruent parts. List the pairs of corresponding congruent parts. #3 Pg. 258
Draw and mark triangles for the congruence rJKL @rMNP. Rewrite the congruence in 5 other ways. #4 Pg. 258
Write congruence statements for the triangles in the figure that appear to be congruent. #8 Pg. 258 rTXW @rVYU rTYU @rVXW rTWV @rVUT
In the figure, rABC @rEDC. Find each measure. #9 -12 Pg. 259 • mÐD = 10. CE = • 11. MÐDCE = 12. BC = 80o 12 65o 8
In the figure, rTUV @rWZY. Find each measure. #13 -16 Pg. 259 6 3 • 13. YZ = 14. WY = • 15. VT = 16. TU = 4 3