Finding Missing Lengths in Geometric Figures
This worksheet provides exercises for grade 9 students to practice finding missing lengths in various geometric figures using theorems like the Pythagorean theorem and properties of similar triangles.
Includes
Standards
Topics
Finding Missing Lengths
Name:
Date:
Score:
Read each question carefully and solve for the missing length. Show all your work.
1. Find the length of the hypotenuse of a right triangle with legs measuring 9 cm and 12 cm.
2. A ladder is leaning against a wall. The foot of the ladder is 5 feet from the wall, and the ladder reaches 12 feet up the wall. How long is the ladder?
3. If two triangles are similar, their corresponding sides are .
4. In similar triangles, the ratio of corresponding sides is .
5. Triangle ABC is similar to Triangle DEF. If AB = 6 cm, BC = 8 cm, and DE = 9 cm, find the length of EF.
6. The sum of the angles in any triangle is always 180 degrees.
True
False
7. In a 30-60-90 triangle, the hypotenuse is twice the length of the shorter leg.
True
False
8. In a 45-45-90 triangle, if one leg measures 7 units, what is the length of the hypotenuse?
Related Worksheets
Arcs and Sectors Geometry Worksheet
A Grade 9 math worksheet focusing on calculating arc length, sector area, and related properties of circles.
Area of an Annulus Worksheet
Calculate the area of an annulus using given radii for Grade 9 geometry students.
Lateral Area Practice Worksheet
A Grade 9 math worksheet focusing on calculating the lateral surface area of various 3D geometric shapes including prisms, cylinders, pyramids, and cones.
Altitude of a Triangle Worksheet
Explore the concept of altitude in triangles, including definitions, properties, and construction methods, suitable for Grade 9 geometry students.
Altitude of a Triangle Worksheet
Explore the concept of altitude in triangles, including definitions, properties, and construction methods, suitable for Grade 9 geometry students.
Segment Length Practice
Practice worksheet for calculating segment lengths on number lines and coordinate planes, including midpoints and distances.
Exterior Angle of a Triangle Worksheet
Explore the properties of exterior angles of triangles with this Grade 9 math worksheet, featuring various problem types.
Grade 9 Math: Coordinate Proofs
This worksheet focuses on coordinate proofs, including proving geometric properties on a coordinate plane, calculating distances, midpoints, and slopes.