7Acc 11-5 Congruence and Similarity

Given ΔDEF≅ΔD′E′F′​, describe a sequence of transformations that maps ΔDEF to ΔD′E′F′.

• Reflection across the​ x-axis, translation of 6 units​ left, translation of 7 units up

• Reflection across the​ y-axis, reflection across the​ x-axis, translation of 6 units left

• Rotation of 90° about the​ origin, translation of 6 units​ down, translation of 6 units left

• Translation of 6 units​ down, translation of 6 units​ right, reflection across the​ y-axis

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Which two triangles are​ congruent?

• ΔABC≅ΔQRS

• ΔDEF≅ΔQRS

• ΔDEF≅ΔXYZ

• ΔABC≅ΔXYZ

Tags

CCSS.8.G.A.2

ABCD is a square. Given ABCD≅A′B′C′D′​, describe a sequence of transformations that maps ABCD to A′B′C′D′.

• Translation 9 units​ left, translation 7 units​ up, reflection across the​ y-axis

• Reflection across the​ x-axis, translation 9 units​ left, translation 7 units up

• Reflection across the​ x-axis, translation 7 units​ up, translation 9 units right

• Translation 7 units​ right, translation 9 units​ down, reflection across the​ y-axis

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Given ΔDEF≅ΔD′E′F′​, describe a pair of transformations that maps ΔDEF to ΔD′E′F′. Use pencil and paper. Describe a pair of transformations that maps ΔD′E′F′ to ΔDEF.

• Rotation of 90° about the​ origin, translation of 6 units up

• Rotation of 90° about the​ origin, translation of 6 units up

• Translation of 5 units ​left, translation of 6 units down

• Reflection across the​ x-axis, reflection across the​ y-axis

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Is ΔDEF≅ΔD′E′F′​? Explain.

• Yes, because reflections across the​ y-axis and the​ x-axis, followed by a translation of 6 units ​left, map ΔDEF to ΔD′E′F′.

• Yes, because reflections across the​ y-axis and the​ x-axis, followed by a translation of 6 units ​left, map ΔDEF to ΔD′E′F′.

• Yes, because a reflection across the​ x-axis, followed by a translation of 6 units left and 3 units ​up, maps ΔDEF to ΔD′E′F′.

• No, because a sequence of transformations does not map ΔDEF to ΔD′E′F′.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Is ABCDE≅​VWXYZ? Explain.

• Yes, because a rotation of 180° about the​ origin, followed by translations of 1 unit up and 1 unit right maps ABCDE to VWXYZ.

• Yes, because a rotation of 180° about the​ origin, followed by translations of 1 unit left and 1 unit down maps ABCDE to VWXYZ.

• Yes, because translations of 1 unit up and 1 unit​ left, followed by a reflection across the​ x-axis maps ABCDE to VWXYZ.

• No, because there is no sequence of transformations that maps ABCDE directly onto VWXYZ.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

ABCD is a rectangle. Given ABCD≅A′B′C′D′​, describe a sequence of transformations that maps ABCD to A′B′C′D′.

• Translation 6 units ​down, rotation of 90° about the​ origin, translation 6 units ​down, reflection across the​ x-axis

• Rotation of 90° about the​ origin, reflection across the​ x-axis, translation 6 units ​left, translation 6 units up

• Translation 6 units ​left, reflection across the​ y-axis, translation 6 units ​down, rotation of 180° about the origin

• Translation 6 units ​left, reflection across the​ y-axis, translation 6 units ​down, rotation of 180° about the origin

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Given ΔJKL≅ΔJ′K′L′​, describe a sequence of transformations that maps ΔJKL to ΔJ′K′L′.

• Rotation of 180° clockwise about point​ K, translation of 3 units left

• Translation of 3 units ​down, translation of 3 units ​left, rotation of 90° about the​ origin, reflection across the​ x-axis

• Rotation of 180° counterclockwise about point​ K, translation of 3 units right

• Translation of 3 units ​up, translation of 3 units ​right, rotation of 90° about the origin

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Translations are always _______

• Congruent
• Bigger
• Smaller
• Rotated

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which shape is congruent to 2

• 10

• 4

• 7

• 1

Tags

CCSS.8.G.A.2