GRADE 7 MATHEMATICS (7.6) Geometry and spatial reasoning. The student compares and classifies shapes and solids using geometric vocabulary and properties. The student is expected to: (B) use properties to classify triangles and quadrilaterals.

Name all the characteristics of a(n):   Triangle   Equilateral Triangle   Isosceles Triangle   Scalene Triangle   Acute Triangle   Right Triangle   Obtuse Triangle

Sketch and label an isosceles obtuse triangle.

Sketch and label a scalene acute triangle.

1. What mathematical concepts and vocabulary do I need to know to be able to work this problem? 2. Will the Grade 7 Mathematics Formula Chart be helpful on this problem? Why or why not? 3. Will a picture or diagram be helpful on this problem? If so, how?

4. What problem-solving strategy or strategies will I use to help solve this problem?

5. Extension (7.9A): A scalene triangle has a base of 12 inches and a height of 8

2 inches. Find 3

its area. Show your work.

TEKSING TOWARD TAKS © 2006

Page 1

GRADE 7 MATHEMATICS (7.6) Geometry and spatial reasoning. The student compares and classifies shapes and solids using geometric vocabulary and properties. The student is expected to: (B) use properties to classify triangles and quadrilaterals.

Name all the characteristics of a(n):   Triangle   Equilateral Triangle   Isosceles Triangle   Scalene Triangle   Acute Triangle   Right Triangle   Obtuse Triangle

Sketch and label an isosceles obtuse triangle.

Sketch and label a scalene acute triangle.

TEKSING TOWARD TAKS © 2006

Page 2

GRADE 7 MATHEMATICS (7.6) Geometry and spatial reasoning. The student compares and classifies shapes and solids using geometric vocabulary and properties. The student is expected to: (B) use properties to classify triangles and quadrilaterals.

Which statement is true about all right triangles? A

Two of the angles of the triangle will be acute angles.

B

One angle of the triangle will be obtuse.

C

The triangle cannot have two congruent sides.

D

The triangle will have two congruent angles.

Which of the following best describes triangle ABC with the given measures? B 116 o

C

A Which of the following can be the measures of two angles of a right triangle?

A

Scalene Acute Triangle

B

Isosceles Acute Triangle

A

35and 45

C

Isosceles Obtuse Triangle

65and 45

D

Isosceles Right Triangle

B C

35 and 65

D

35 and 55

 Look at the triangles below.

Which statement is not true about all equilateral triangles? Triangle 1

Triangle 2

A

All three sides will measure the same.

B

Each angle of the triangle will measure 60.

Which triangle(s) are classified as scalene?

C

The triangle may have one obtuse angle.

A

Triangle 1 and Triangle 3

D

The sum of the measures of the angles will be 180.

B

Triangle 1 and Triangle 2

C

Triangle 3 only

D

Triangle 2 and Triangle 3

Triangle 3

Triangle ABC has angle measures of 60 , 80and 40. Triangle ABC is a(n) Which statement is not true about all isosceles triangles? A

Isosceles acute triangle

B

Scalene obtuse triangle

A

Two of the angles of the triangle will be acute angles.

C

Scalene acute triangle

B

The altitude to the base will bisect the base.

D

Scalene right triangle

C

The base angles are congruent.

D

The base will be longer than the legs.

TEKSING TOWARD TAKS © 2006

Page 3

02-7.6B
02-7.6B

4. Whatproblem-solvingstrategyorstrategieswillIusetohelpsolvethisproblem? Sketchandlabelascaleneacutetriangle. Sketchandlabelanisoscelesobtu...