5-1 Congruence Lesson (Savvas Realize)

5-1 Congruence
Objective: I can use rigid motion to show congruence

Directions: Open your Booklets to page 8. Read Each slide Carefully, Look at each picture individually, Answer any questions asked in your booklet, Fill In ALL notes in your Booklet.

Bell Ringer __ / __ / 2023:

Which figures are congruent?

Multiple Select

Which figures are congruent? Choose all that are congruent.

• A

• B

• C

• E

• F

Suppose there is a rigid motion that maps one figure to another. Why does that show that the two figures are congruent?

5.1 Congruence: I can use rigid motions to show
congruence.

Since rigid motions preserve measures of corresponding sides and angles, the two figures are congruent.

​Order within the congruence statement ΔABC ≌ΔDEF does matter. Since <A is matched with <D, these angles are congruent.

Open Ended

What do the dash marks (single, double, or triple) mean on each segment?

Open Ended

What do the arcs at each angle tell us? (Single, Double, Triple)

Multiple Choice

Which Angle is congruent to <A?

• <B

• <C

• <F

• <D

• <E

Multiple Choice

Which Angle is congruent to <C, given ΔABC ≌ ΔDEF?

• <B

• <C

• <F

• <D

• <E

Multiple Choice

Which Side is congruent to Segment AB?

• BC

• CD

• FD

• DE

• EF

Multiple Choice

Which Side is congruent to Segment DF?

• BA

• AC

• FD

• ED

• EF

Given △𝙓𝙔𝙕≅△𝘼𝘽𝘾, what composition of
rigid motions maps △𝙓𝙔𝙕𝘁𝗼△𝘼𝘽𝘾?
See the movements

​Can you think of another way to move ΔXYZ?

Multiple Choice

Given △𝘼𝘽𝘾, △𝙀𝙁𝙂, and 

△𝙅𝙆𝙇, which triangles 

are congruent?

• △𝘼𝘽𝘾 & △JKL

• △𝘼𝘽𝘾 & △𝙀𝙁𝙂

• △𝙀𝙁𝙂 & △JKL

Multiple Choice

Are ABCDE and JKLMN congruent?

• YES

• NO

Are ABCDE and JKLMN congruent? If so,
describe the composition of
rigid motions that maps
ABCDE to JKLMN. If not,
explain.

No; not all of the angles and segments are congruent.

Multiple Choice

Are the objects congruent? If congruent, what is the rigid motion that will map the 1st figure to the 2nd?

• Yes, Translation

• Yes, Reflection

• Yes, Rotation

• No

Multiple Choice

Are the objects congruent? If congruent, what is the rigid motion that will map the 1st figure to the 2nd?

• Yes, Translation

• Yes, Reflection

• Yes, Rotation

• No

Assignments:
Savvas 5.1 Congruence Practice
and Problem-Solving