Congruence Statement – Online Pratice With Examples
Concept
Determine the congruence statement for given two congruent figures.
Rules
A congruence statement says that two polygons are congruent.
To determine a congruence statement, list the corresponding vertices in the same order.
Example
Write the congruent statement for the right triangles below?
Solution
In order to set up a congruence statement, we can write the first figure in whichever order we choose. We can see that the first triangle is named triangle ABC. Now we can match up angles in pairs. We see that the right angle A will match up with the right angle E in the other triangle. Similarly, angle B will pair up with angle F, and angle C will pair up with angle D. Therefore, the congruent statement formed is
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∆ABC ≅ ∆EFD
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Practice Congruence Statement
Practice Problem 1
Which of the following is the correct congruent statement for the right triangles below?
Practice Problem 2
Which of the following is the correct congruent statement for the quadrilaterals below?
Practice Problem 3
Given ∆UVP ≅ ∆RST, angle S is 23˚ and angle R is 84˚, find angle U.
Practice Problem 4
Given ∆GHD ≅ ∆YXZ, and side XZ is 18 m, find length of HD.
Similar – Figures that have the same shape, but not necessarily the same size.
Congruent – Figures that have the same shape and same size.
Corresponding parts – The parts of congruent figures that match or correspond.
Pre-requisite Skill
Congruence and Transformations