1.If BCDE Is Congruent to OPQR, Then Is Congruent To

1.If BCDE is congruent to OPQR, then is congruent to

2.If , which of the following can you NOT conclude as being true?

3.

4.Which congruence statement does NOT necessarily describe the triangles shown if

5.The two triangles are congruent as suggested by their appearance. Find the value of c. The diagrams are not to scale.

6.Use the information given in the diagram. Tell why and

7.Name the angle included by the sides and

8.Justify the last two steps of the proof.

Given: and

Prove:

9.What other information do you need in order to prove the triangles congruent using the SAS Congruence Postulate?

10.State whether and are congruent. Justify your answer.

11.Which triangles are congruent by ASA?

12.Which two triangles are congruent by ASA?

13.Which pair of triangles is congruent by ASA?

14.What is the missing reason in the two-column proof?

Given: bisects and bisects

Prove:

15.Name the theorem or postulate that lets you immediately conclude

16.If and , which additional statement does NOT allow you to conclude that ?

17.Can you use the SAS Postulate, the AAS Theorem, or both to prove the triangles congruent?

18.What else must you know to prove the triangles congruent by ASA? By SAS?

19.Based on the given information, what can you conclude, and why?

Given:

20.Supply the missing reasons to complete the proof.

Given: and Prove:

21.Supply the reasons missing from the proof shown below.

Given:,

Prove:

22.Which of these transformations appear to be a rigid motion?

In the diagram, figure RQTS is the image of figure DEFC after a rigid motion.

23.Name the image of F.

24.Name the image of .

25.Graph

26.Graph

27.What is a rule that describes the translation ?

Use the diagram.

28.Find the image of C under the translation described by the translation rule .

29.Find the translation rule that describes the translation BE.

30.The vertices of a rectangle are R(–5, –5), S(–1, –5), T(–1, 1), and U(–5, 1). A translation maps R to the point (–4, 2). Find the translation rule and the image of U.

31.Describe in words the translation of X represented by the translation rule .

32.Use a translation rule to describe the translation of X that is 5 units to the left and 7 units up.

33.Use a translation rule to describe the translation of P that is 6 units to the left and 6 units down.

34.Use a translation rule to describe the translation of that is 8 units to the right and 2 units down.

35.State whether the transformation appears to be a rigid motion. Explain.

36.In the diagram, the dashed-lined figure is the image of the solid-lined figure after a rigid motion.

a.List all pairs of corresponding sides.

b.Name the image of point .

37.What are the vertices of ? Graph .

38.Write a rule in function notation to describe the transformation that is a reflection across the y-axis.

39.The vertices of a triangle are P(–8, 6), Q(1, –3), and R(–6, –3). Name the vertices of .

40.The vertices of a triangle are P(–3, 8), Q(–6, –4), and R(1, 1). Name the vertices of .

41.The vertices of a triangle are P(–2, –4), Q(2, –5), and R(–1, –8). Name the vertices of .

42.Write a rule in function notation to describe the transformation that is a reflection across the x-axis.

43.Find the image of P(–2, –1) after two reflections; first , and then .

44.Each triangle in the diagram is a reflection of another triangle across one of the given lines. How can you describe Triangle 3 by using a reflection rule?

45.Draw

46.Graph points A(1, 5), B(5, 2), and C(1, 2). Graph .

47.a.Graph the quadrilateral WXYZ with vertices W(3, –5), X(1, –3), Y(–1, –5), and Z(1,–7).

b.Graph and state the coordinates of the vertices.

48.Draw the image of the figure after the following rotations.

____49.The dashed-lined figure is a dilation image of EFGH. Is an enlargement or a reduction? What is the scale factor n of the dilation?

____50.The dashed-lined figure is a dilation image of with center of dilation P (not shown). Is an enlargement, or a reduction? What is the scale factor n of the dilation?

____51.The dashed triangle is a dilation image of the solid triangle. What is the scale factor?

52.Find the vertices of

____53.Graph a dilation of centered at E with a scale factor 2.