Congruent Figures Section 4-1. Solve each equation. 1.x + 6 = 252.x + 7 + 13 = 33 3.5x = 5404.x + 10...

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Congruent Figures Section 4-1

Transcript of Congruent Figures Section 4-1. Solve each equation. 1.x + 6 = 252.x + 7 + 13 = 33 3.5x = 5404.x + 10...

Page 1: Congruent Figures Section 4-1. Solve each equation. 1.x + 6 = 252.x + 7 + 13 = 33 3.5x = 5404.x + 10 = 2x 5.For the triangle at the right, use the Triangle.

Congruent Figures

Section 4-1

Page 2: Congruent Figures Section 4-1. Solve each equation. 1.x + 6 = 252.x + 7 + 13 = 33 3.5x = 5404.x + 10 = 2x 5.For the triangle at the right, use the Triangle.
Page 3: Congruent Figures Section 4-1. Solve each equation. 1.x + 6 = 252.x + 7 + 13 = 33 3.5x = 5404.x + 10 = 2x 5.For the triangle at the right, use the Triangle.

Solve each equation.

1.x + 6 = 25 2. x + 7 + 13 = 33

3.5x = 540 4. x + 10 = 2x

5.For the triangle at the right, use the Triangle

Angle-Sum Theorem to find the value of y.

Page 4: Congruent Figures Section 4-1. Solve each equation. 1.x + 6 = 252.x + 7 + 13 = 33 3.5x = 5404.x + 10 = 2x 5.For the triangle at the right, use the Triangle.

Congruent figures have the same ______________ and _______________.

When two figures are congruent, you can move one so that it fits exactly on the other one.

Page 5: Congruent Figures Section 4-1. Solve each equation. 1.x + 6 = 252.x + 7 + 13 = 33 3.5x = 5404.x + 10 = 2x 5.For the triangle at the right, use the Triangle.

Three ways to make such a move are a _____________, a _____________, or a ________________.

Page 6: Congruent Figures Section 4-1. Solve each equation. 1.x + 6 = 252.x + 7 + 13 = 33 3.5x = 5404.x + 10 = 2x 5.For the triangle at the right, use the Triangle.

Discovery Learning:

1. Draw a shape on your paper.

2. Cut it out. Trace the original shape on the paper again.

3. Flip/slide/rotate the shape and trace it.

4. Draw both the original shape and the “new” shape on the board.

5. As a class, figure out how each shape was flipped/slid/rotated.

Page 7: Congruent Figures Section 4-1. Solve each equation. 1.x + 6 = 252.x + 7 + 13 = 33 3.5x = 5404.x + 10 = 2x 5.For the triangle at the right, use the Triangle.

________________ have congruent corresponding parts -matching ___________ and ___________.

When you name congruent

polygons, always list

corresponding vertices

in the same order.

Page 8: Congruent Figures Section 4-1. Solve each equation. 1.x + 6 = 252.x + 7 + 13 = 33 3.5x = 5404.x + 10 = 2x 5.For the triangle at the right, use the Triangle.
Page 9: Congruent Figures Section 4-1. Solve each equation. 1.x + 6 = 252.x + 7 + 13 = 33 3.5x = 5404.x + 10 = 2x 5.For the triangle at the right, use the Triangle.
Page 10: Congruent Figures Section 4-1. Solve each equation. 1.x + 6 = 252.x + 7 + 13 = 33 3.5x = 5404.x + 10 = 2x 5.For the triangle at the right, use the Triangle.

Write a statement of triangle congruence.B

C D

AF

D H

ZP

R

Page 11: Congruent Figures Section 4-1. Solve each equation. 1.x + 6 = 252.x + 7 + 13 = 33 3.5x = 5404.x + 10 = 2x 5.For the triangle at the right, use the Triangle.
Page 12: Congruent Figures Section 4-1. Solve each equation. 1.x + 6 = 252.x + 7 + 13 = 33 3.5x = 5404.x + 10 = 2x 5.For the triangle at the right, use the Triangle.
Page 13: Congruent Figures Section 4-1. Solve each equation. 1.x + 6 = 252.x + 7 + 13 = 33 3.5x = 5404.x + 10 = 2x 5.For the triangle at the right, use the Triangle.
Page 14: Congruent Figures Section 4-1. Solve each equation. 1.x + 6 = 252.x + 7 + 13 = 33 3.5x = 5404.x + 10 = 2x 5.For the triangle at the right, use the Triangle.
Page 15: Congruent Figures Section 4-1. Solve each equation. 1.x + 6 = 252.x + 7 + 13 = 33 3.5x = 5404.x + 10 = 2x 5.For the triangle at the right, use the Triangle.

Pg 183 #16-25 together

Page 16: Congruent Figures Section 4-1. Solve each equation. 1.x + 6 = 252.x + 7 + 13 = 33 3.5x = 5404.x + 10 = 2x 5.For the triangle at the right, use the Triangle.

In Exercises 1 and 2, quadrilateral WASH quadrilateral NOTE.

1. List the congruent corresponding parts.

2. mO = mT = 90 and mH = 36. Find mN.

3. Write a statement of triangle congruence.

4. Write a statement of triangle congruence.

5. Explain your reasoning in Exercise 4 above.

Page 17: Congruent Figures Section 4-1. Solve each equation. 1.x + 6 = 252.x + 7 + 13 = 33 3.5x = 5404.x + 10 = 2x 5.For the triangle at the right, use the Triangle.
Page 18: Congruent Figures Section 4-1. Solve each equation. 1.x + 6 = 252.x + 7 + 13 = 33 3.5x = 5404.x + 10 = 2x 5.For the triangle at the right, use the Triangle.
Page 19: Congruent Figures Section 4-1. Solve each equation. 1.x + 6 = 252.x + 7 + 13 = 33 3.5x = 5404.x + 10 = 2x 5.For the triangle at the right, use the Triangle.
Page 20: Congruent Figures Section 4-1. Solve each equation. 1.x + 6 = 252.x + 7 + 13 = 33 3.5x = 5404.x + 10 = 2x 5.For the triangle at the right, use the Triangle.

Homework:

Pg 183 #3 - 14, 29