Congruent Triangles: SSS, SAS, ASA
Explore and identify congruent triangles using the SSS, SAS, and ASA congruence postulates with this Grade 8 math worksheet.
Includes
Standards
Topics
Congruent Triangles: SSS, SAS, ASA
Name:
Date:
Score:
Read each question carefully and determine if the given triangles are congruent. If they are, state the postulate (SSS, SAS, or ASA) that proves congruence. If not, write 'Not congruent'.
1. Which postulate states that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent?
SAS
ASA
SSS
AAS
2. In the triangles below, AB = DE, BC = EF, and ∠B = ∠E. Which postulate proves that △ABC ≅ △DEF?
SSS
SAS
ASA
Not congruent
3. If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, the triangles are congruent by the postulate.
4. The postulate requires two sides and the included angle to be congruent for two triangles to be congruent.
5. Consider two triangles, △XYZ and △PQR. If XY = PQ, YZ = QR, and XZ = PR, are the triangles congruent? If so, by which postulate? Explain your reasoning.
6. Draw two triangles that are congruent by the ASA postulate. Label the vertices and mark the congruent parts.
7. The Angle-Side-Side (ASS) postulate is a valid method to prove triangle congruence.
True
False
8. If two triangles have corresponding angles that are congruent, then the triangles must be congruent.
True
False
Match each congruence postulate with its description.
9. SSS
a. Two angles and the included side
10. SAS
b. Three sides
11. ASA
c. Two sides and the included angle
Related Worksheets
Three-Dimensional Figures Worksheet
This worksheet focuses on identifying, understanding properties, and calculating basic measurements of three-dimensional figures for Grade 8 math students.
Grade 8 Lateral Area Worksheet
Calculate the lateral surface area of various three-dimensional shapes, including cylinders, prisms, and pyramids.
Grade 8 Triangle Properties Worksheet
This worksheet covers fundamental properties of triangles, including angle sums, types of triangles, and the Pythagorean theorem, suitable for Grade 8 math students.
Grade 8 Triangle Properties Worksheet
This worksheet covers fundamental properties of triangles, including angle sums, types of triangles, and the Pythagorean theorem, suitable for Grade 8 math students.
Distance on the Coordinate Plane
Calculate the distance between two points on a coordinate plane using the distance formula and Pythagorean theorem.
Similar Polygons Worksheet
Grade 8 math worksheet focusing on understanding and identifying similar polygons, including finding missing side lengths and angles.
Grade 8 Area Formulas Worksheet
Reinforce understanding of area formulas for various geometric shapes including triangles, rectangles, circles, and trapezoids for Grade 8 math students.
Area of Mixed Shapes
Calculate the area of various composite shapes including rectangles, triangles, and circles.