C Challenge

32. Reasoning Four sides of polygon ABCD are congruent, respectively, to the four sides of polygon EFGH. Are ABCD and EFGH congruent? Is a quadrilateral a rigid figure? If not, what could you add to make it a rigid figure? Explain.
33. Proof Given: H K ¯ ≅ L G ¯ , H F ¯ ≅ L J ¯ , F G ¯ ≅ J K ¯ h k bar , approximately equal to . l g bar , comma . h f bar , approximately equal to . l j bar , comma . f g bar , approximately equal to . j k bar

    Prove: Δ F G H ≅ Δ J K L cap delta f g h approximately equal to cap delta j k l

    

34. Proof Given: ∠ N ≅ ∠ L , M N ¯ ≅ O L ¯ , N O ¯ ≅ L M ¯ angle n approximately equal to . angle l comma . m n bar , approximately equal to . o l bar , comma . n o bar , approximately equal to . l m bar

    Prove: M N ¯ ║ O L ¯ m n bar , box drawings double vertical , o l bar

    

Standardized Test Prep

SAT/ACT

35. What additional information do you need to prove that Δ V W Y ≅ Δ V W Z cap delta v w y approximately equal to cap delta v w z  by SAS?

    

    1. Y W ¯ ≅ Z W ¯ y w bar , approximately equal to . z w bar
    2. ∠ W V Y ≅ ∠ W V Z angle w v y approximately equal to , angle w v z
    3. ∠ Y ≅ ∠ Z angle y approximately equal to angle z
    4. V Z ¯ ≅ V Y ¯ v z bar , approximately equal to . v y bar
36. The measures of two angles of a triangle are 43 and 38. What is the measure of the third angle?
    6. 9
    7. 81
    8. 99
    9. 100
37. Which method would you use to find the inverse of a conditional statement?
    1. Switch the hypothesis and conclusion.
    2. Negate the hypothesis only.
    3. Negate the conclusion only.
    4. Negate both the hypothesis and conclusion.

Short Response

38. A segment has a midpoint at (1, 1) and an endpoint at ( − 3 , 4 ) . open negative 3 comma 4 close .  What are the coordinates of the other endpoint of the segment? Show your work.

Mixed Review

See Lesson 4-1.

A B C D ≅ E F G H . eh b c d approximately equal to e f g h .  Name the angle or side that corresponds to each part.

39. ∠ A angle eh
40. E F ¯ e f bar
41. B C ¯ b c bar
42. ∠ G angle g

See Lesson 2-2.

Write the converse of each statement. Determine whether the statement and its converse are true or false.

43. If x = 3 , x equals 3 comma  then 2 x = 6 . 2 x equals 6 .
44. If x = 3 , x equals 3 comma  then x 2 = 9 . x squared . equals 9 .

Get Ready! To prepare for Lesson 4-3, do Exercises 45 and 46.

See Lesson 4-2.

45. In Δ J H K , cap delta j h k comma  name the side that is included between ∠ J angle j  and ∠ H . angle h .
46. In Δ N L M , cap delta n l m comma  name the angle that is included between N M ¯ n m bar  and L N ¯ . l n bar , .

Table of Contents