Lesson 1 Garden Transformations Solidify Understanding

Ready

1.

Use the congruence marks to complete the congruence statements.

$∠ A B C ≅$

$\overset{―}{D E} ≅$

$\overset{―}{W X} ≅$

$\overset{―}{A E} ≅$

$\overset{―}{X Y} ≅$

$∠ T W X ≅$

2.

Use the congruence statements to place congruence marks on the diagrams.

$∠ L G H ≅ ∠ Q R S$

$\overset{―}{L G} ≅ \overset{―}{Q R}$

$\overset{―}{G H} ≅ \overset{―}{R S}$

$\overset{―}{J K} ≅ \overset{―}{N P}$

$\overset{―}{T N} ≅ \overset{―}{I J}$

$∠ K J I ≅ ∠ P N T$

Set

For each pair of images and pre-images, identify the transformation(s) between them. Provide defining features of each transformation (center of rotation, like of reflection, etc.). Hint: Consider corresponding points.

3.

4.

5.

6.

Perform the indicated transformations.

7.

Translate the triangle as described by this rule: $f (x, y) \to (x - 3, y + 5)$ .

8.

Rotate the triangle $90 °$ counterclockwise about the point $(3, 4)$ .

9.

Reflect the triangle over the line $y = 2 x + 4$ .

10.

Rotate the triangle $180 °$ about the point $(- 3, - 2)$ .

Go

Rewrite the phrases below using correct mathematical symbols.

Example: Eleven plus eight is nineteen. $11 + 8 = 19$

11.

Triangle $A B C$ is congruent to triangle $G H J$ .

12.

Segment $B V$ is congruent to segment $P R$ .

13.

Three feet are equal to one yard.

14.

Line $T R$ is parallel to line segment $W Q$ .

15.

Ray $V P$ is perpendicular to segment $G H$ .

16.

Angle $3$ is congruent to angle $5$ .

17.

The distance between $W$ and $X$ is $7 feet$ .

18.

The length of segment $A B$ is equal to the length of $T R$ .

19.

The measure of angle $S R T$ is equal to the measure of angle $C D E$ .

20.

Explain when it is proper to use an equal sign and when it is proper to use the congruent symbol.