Name and use corresponding parts of congruent polygons

Content Standards G. CO. 7 Use the definition of congruence in terms of rigid

• congruent polygons • corresponding parts

Identify Corresponding Congruent Parts Show that the polygons are congruent by identifying all of

The support beams on the fence form congruent triangles. In the figure ΔABC ΔDEF,

Use Corresponding Parts of Congruent Triangles In the diagram, ΔITP ΔNGO. Find the values

In the diagram, ΔFHJ ΔHFG. Find the values of x and y.

Use the Third Angles Theorem ARCHITECTURE A drawing of a tower’s roof is composed

TILES A drawing of a tile contains a series of triangles, rectangles, squares, and

Prove That Two Triangles are Congruent Write a two-column proof. Prove: ΔLMN ΔPON Statements

Find the missing information in the following proof. Prove: ΔQNP ΔOPN Proof: Statements Reasons

Slides: 15

Download presentation

• Name and use corresponding parts of congruent polygons. • Prove triangles congruent using the definition of congruence.

Content Standards G. CO. 7 Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent. G. SRT. 5 Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures. Mathematical Practices 6 Attend to precision. 3 Construct viable arguments and critique the reasoning of others.

• congruent polygons • corresponding parts

Identify Corresponding Congruent Parts Show that the polygons are congruent by identifying all of the congruent corresponding parts. Then write a congruence statement.

The support beams on the fence form congruent triangles. In the figure ΔABC ΔDEF, which of the following congruence statements correctly identifies corresponding angles or sides?

Use Corresponding Parts of Congruent Triangles In the diagram, ΔITP ΔNGO. Find the values of x and y.

In the diagram, ΔFHJ ΔHFG. Find the values of x and y.

Use the Third Angles Theorem ARCHITECTURE A drawing of a tower’s roof is composed of congruent triangles all converging at a point at the top. If IJK IKJ and m IJK = 72, find m JIH.

TILES A drawing of a tile contains a series of triangles, rectangles, squares, and a circle. If ΔKLM ΔNJL, KLM KML, and m KML = 47. 5, find m LNJ.

Prove That Two Triangles are Congruent Write a two-column proof. Prove: ΔLMN ΔPON Statements Reasons

Find the missing information in the following proof. Prove: ΔQNP ΔOPN Proof: Statements Reasons