Help With 2.07 Honors
Triangle ABC maps to A′B′C′ as shown.

A triangle with vertices A at 1 comma 6, B at 8 comma 10, and C at 8 comma 3. A second triangle with vertices at A prime at 1 comma negative 6, B prime at 8 comma negative 10, and C prime at 8 comma negative 3.

Is triangle ABC congruent to triangle A′B′C′? Why, or why not?

Yes, because a rotation is a rigid transformation
Yes, because a reflection is a rigid transformation
No, because a rotation is not a rigid transformation
No, because a reflection is not a rigid transformation
Question 2(Multiple Choice Worth 3 points)

(02.07 MC)

What is the angle of rotation for a regular pentagon?

18°
36°
64°
72°
Question 3(Multiple Choice Worth 3 points)

(02.07 MC)

If triangle ABC is rotated 90° clockwise, are the pre-image and image congruent? Why, or why not?

Yes, angle measure is preserved and distance is not
Yes, distance and angle measure are preserved
No, distance is preserved but angle measure is not
No, neither distance nor angle measure are preserved
Question 4(Multiple Choice Worth 3 points)

(02.07 MC)

How many total lines of symmetry may be found in the image?

crystal with symmetric branches

1
2
6
8
Question 5(Multiple Choice Worth 3 points)

(02.07 MC)

Two triangles are shown on the coordinate plane.

triangle ABC with A at 0 comma 0, B at 2 comma 4 and C at 0 comma 2, the measure of angle C is 127 degrees, and the measure of angle A is 40 degrees, triangle DEF with D at 2 comma 0, E at 4 comma 4 and F at 4 comma 2, the measure of angle F is 127 degrees, and the measure of angle E is 40 degrees

Name the congruent triangles and justify the reason for congruence.

ΔABC ≅ ΔFDE by HL
ΔABC ≅ ΔEDF by ASA
ΔABC ≅ ΔFED by HL
ΔABC ≅ ΔFED by ASA
Question 6(Multiple Choice Worth 3 points)

(02.07 LC)

Use the figure shown to answer the question that follows.

hexagonal nut

What is the order of rotation of this figure?

2
4
6
8