Congruence & Rigid Motions
Q27 (diagram): On the set of axes below, Triangle ABC = Triangle DEF. Describe a sequence of rigid motions that maps Triangle ABC onto Triangle DEF.
Multiple answers!
- Must have at least 2 sets of rigid motions with ALL KEY INGREDIENTS
Q26 (diagram): An airplane took off at a constant angle of elevation. After the plane traveled for 25 miles, it reached an altitude of 5 miles, as modeled. To the nearest tenth of a degree,w hat was the angle of elevation?
+1 correct trig set up
+1 correct answer
Q25 (diagram): In parallelogram ABCD, Angle DAC=98˙ and Angle ACD=36˙. What is the measure of angle B? Explain why.
+1 46˙
+1 appropriate reasoning
Q30 (diagram): In the diagram of circle K, secant PLKE and tangent PZ are drawn from external point P. If Arc LZ = 56˙, determine and state the degree measure of angle P.
+1 appropriate work
+1 34˙
Q33 (diagram): In the diagram, Triangle ABE = Triangle CBD. Prove: Triangle AFD = Triangle CFE.
-1 for technical errors
-2 for conceptual errors
Q32 (modified to just be the second part): Triangle ABC is dilated with a scale factor of 2centered at B. Is the image of Triangle ABC similar to the original triangle? Explain why.
+ 1 Yes
+1 Appropriate reasoning
Q35: The coordinates of the vertices of Triangle ABC are A(1, 2), B(-5, 3) and C(-6,-3). (3 part question)
1) Prove that Triangle ABC is isosceles.
2) State the coordinates of point D such that quadrilateral ABCD is a square.
3) Prove that your quadrilateral ABCD is a square.
Review scoring guide.