Project Problems Set 2

Module 4

1.The polygon Q(3, 2), R(6, 5), S(6, 2) undergoes the transformation:
(x, y)  (4x, 4y). Name the coordinates
of the image points.

2.The angles of a triangle measure 4,
86, and 90. Which classification of
the triangle is correct?

3.Which could be the angle measures
of an acute triangle?

A32-56-92C34-56-90

B33-58-91D35-56-89

4.What is the length of the longest side
of the triangle?

5.What is mW?

6.Two angles of a triangle measure 22 and 53. What is the measure of the
third angle?

7.What is the value of x if the acute angles of a right triangle measure 8x and 12x?

8.In the figure, PQRUVW. What is mR?

9.If KMQWJR, which segment is congruent to ?

10.Which angle is congruent to Z if
ZLVSPN?

11.If ABCKJC, which statement is NOT necessarily true?

12.Suppose SN,JI,
AT, and
Write a congruency statement for the two triangles.

13.The transformation M:

(x, y)  (0.5x, 0.5y) has been applied to thepolygon KLM. If the point M had coordinates(4, 4), name the coordinatesof the image of M.

______

14.Is the polygon K(5, 4), L(5, 6), M(7, 6)congruent to the polygon N(4, 3), P(4, 5), Q(6, 5)?

______

Use the figure for Exercises 15 and 16.

15.Classify the triangle by its angle measures.

______

16.Classify the triangle by its side lengths.

______

17.Complete the sentence. All of the angles in an equilateral triangle measure ______.

______

18.What is the measure of 1?

______

19.Given: GHJNOP. What is the value of x?

______

20.If KLMRST, what is the value
of x?

______

21.Complete the statement. Two triangles are congruent if and only if their ______angles and sides are congruent.

______

Use the figure for Exercises 22 and 23.

22.What value of x proves ABCDEF by SAS?

______

23.If , what additional congruence statement is needed to prove ABCDEF by SSS?

______

Use the figure for Exercises 24 and 25.

24.Write True or False. You can use AAS to prove ABECDE.

______

25.What additional congruence statement is needed to prove ABECDE by HL?

Module 5

1.If x= 5 is RSTUVW? Explain.

2.What additional information is needed to prove MNPPQM by SAS?

3.A parachute jumper called into the airport to be rescued by helicopter. She said her pilot flew 8 kilometers west and then headed due north about 20 minutes before she jumped. Does the helicopter pilot have enough information to locate her exact location? Explain.

4.Which congruence theorem CANNOT be used to prove
MNKKLM?

5. In the figure, H is the midpoint of and What reason can be used in a proof to show

6. When using HL congruence theorem, what type of triangles do you need?

7.Find the value of x.

.

8. What is the measure of one of the base angles of an isosceles triangle if the measure of the vertex angle is 98?

9.One angle of an equilateral triangle measures (4x 20). What is the value of x?

10.Suppose MWRCYQ,MW 8,
WR 9, and CQ 10. What is MR?

F8H10

G9J11

11. Write True or False and explain.

Given: ABC and DEF. To use CPCTC to prove AD, you must first prove
ABCDEF.

12. What postulate or theorem proves
KM?

Module 8

1.Which is similar to this quadrilateral?

AC

BD

2.Complete the similarity statement.

ABC?

3.The dilation D: (x, y)  (0.2x, 0.2y) has been applied to the polygon S(–5, 5), T(–5, 10), U(5, 15). What are the coordinates of the image points?

4.Which transformation(s) can be used to show that polygon W(–2, 4), X(–2, 8),
Y(–6, 2), Z(–10, 4) is similar to polygon L(–3, 0), M(–3, 2), N(–5, –1), O(–7, 0)?

5.To measure the distance across a pond, a surveyor locates points A, B, C, D,and E as shown. What is AB to the nearest meter?

6.The scale on a map uses 3 centimeters to represent 4 kilometers. The distance between two towns on the map is 6 centimeters. How many kilometers
apart are the towns?

7.The coordinates of PMN are P(2, 10),
M(8, 6), and N(4, 2). After a dilation, the image of P is (19, 95). What are the coordinates of the image of M?

8. Determine whether the triangles are similar. If so, write the similarity ratio
and a similarity statement.

9. Give the definition of a dilation.

10. Name the dilation and then the translation
that was used to map O(2, 5), P(6,1), Q(0, –1), R(–1, 0) to A(8, 14), B(16, 6), C(4, 2), D(2, 4).

11.Given that UOV is a dilation image of SOT, find the coordinates of V and the scale factor.