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.
Grade 9 Math: Coordinate Proofs
This worksheet focuses on coordinate proofs, including proving geometric properties on a coordinate plane, calculating distances, midpoints, and slopes.
Grade 9 Math: Geometric Translations
A worksheet covering geometric translations on the coordinate plane for Grade 9 students, including identifying translations, applying translation rules, and determining translation vectors.
Corresponding Parts in Geometry
Grade 9 worksheet on identifying and using corresponding parts of congruent figures, including triangles and polygons.
Midsegment of a Trapezoid Worksheet
This worksheet focuses on understanding and applying the midsegment theorem for trapezoids, including calculating lengths and solving for unknown variables.
Grade 9 Geometric Constructions Worksheet
A Grade 9 math worksheet focusing on geometric constructions using a compass and straightedge, covering bisectors, perpendiculars, and angles.
Finding Quadrant of an Angle
Identify the quadrant of angles in standard position and understand angle measurement in a coordinate plane.