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Quarter 2 Concept and Scoring Outline Essential Questions Corresponding Questions How can you use parallel and perpendicular lines to solve real-­world problems? How can you use triangle congruence to solve real-­
world problems? How can you use applications of triangle congruence to solve real-­world problems? How can you use properties of triangles to solve real world problems? How can you special segments in triangles to solve real-­world problems? Point Values #1 #2 #3 #4 #5 #6 #7 #8 #9 #10 #11 #12 #13 #14 #15 #16 #17 #18 #19 #20 #21 3 points 2 points 2 points 3 points 3 points 2 points 2 points 2 points 10 points 2 points 2 points 2 points 5 points 4 points 4 points 3 points 3 points 4 points 2 points 2 points 2 points #22 #23 #24 #25 #26 #27 #28 #29 #30 4 points 4 points 4 points 4 points 3 points 4 points 4 points 5 points 4 points TOTAL: 100 points 1. ÐPQR and ÐSQR form a linear pair. Find the sum of their measures. 2. What is the supplement of ÐAEB 3. What is complement of ÐAEB 4. Find the values for x and y. x=____________ y=_______________ 5. Find the mÐDEF mÐDEF _____________ 6. Name a pair of vertical angles 7. Name a linear pair of angles. 8. Find the measure of mÐ1 9. 10. Write an equation that is parallel to 𝑦 = 3𝑥 − 1
and passes through the point (0, -9).
14. Look at the figure below. Are these triangles congruent? Explain why or why not. Use the following figure to answer the next
questions. Assume all 2 dimensional shapes that
make up this figure are rectangles.
11. Name a line that is parallel to AB 12. Name a line that is perpendicular to AB 13. Look at the figure below. Are triangles ABC and DEF congruent? Explain why or why not. 15. Look at the figure below. Are these triangles congruent? Explain why or why not. 16. What value of x indicates that BD is the angle bisector of ÐABC ? Show your work. 17. What is mÐABC ? Explain. 18. In this figure triangles LMN and PQR are congruent What is the length of QR? For the triangles shown, state which additional congruency statement is needed to prove Δ𝐴𝐵𝐶 ≅
Δ𝐷𝐸𝐹 for the given theorem or postulate 24. What is the mÐU ? Show all work. 19. SAS Postulate 20. HL Theorem 21. ASA Postulate 22. Determine whether the triangles on the grid are congruent. Justify your reasoning. (Hint use the distance formula) . 23. A polygon has an interior angle sum of 2520°. How many sides must the polygon have? Show all work. 25. Is ∆𝑋𝑌𝑍 equilateral, isosceles, or neither? Explain your reasoning. 26. What is the sum of the interior angles of the octagon? 28. In ∆𝑃𝑅𝑇 PS = 12.0 cm, UV = 2.7 cm, and ST = 7.3 cm. What is the measure of What is the measure of RV ? 29. If ∆𝐴𝐵𝐶 has a perimeter of 24 cm, what is true about the perimeter of ∆𝐸𝐹𝐷 Explain your reasoning. 27. What is XZ? 30. What is JK? Show your work.