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Questions and Answers
Given ∆ABC ≅ ∆DEF, if m∠B = 65°, m∠C= 42°, and m∠A=73°, what is the measure of ∠E?
Given ∆ABC ≅ ∆DEF, if m∠B = 65°, m∠C= 42°, and m∠A=73°, what is the measure of ∠E?
Given ∆ABC ≅ ∆DEF, if DE = 2.6 cm, EF = 3.7 cm, and CA = 3.5 cm, what is the length of the side BC?
Given ∆ABC ≅ ∆DEF, if DE = 2.6 cm, EF = 3.7 cm, and CA = 3.5 cm, what is the length of the side BC?
If ∆PQR ≅ ∆XYZ, and PQ = 5x + 2 and XY = 7x - 6, find the value of x.
If ∆PQR ≅ ∆XYZ, and PQ = 5x + 2 and XY = 7x - 6, find the value of x.
If ∆ABC ≅ ∆LMN and ∠A = 90°, ∠B = 30°, what is the measure of ∠N?
If ∆ABC ≅ ∆LMN and ∠A = 90°, ∠B = 30°, what is the measure of ∠N?
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If ∆RST ≅ ∆UVW, and RS = 3a - 5 and UV = 2a + 1, what is the length of RS?
If ∆RST ≅ ∆UVW, and RS = 3a - 5 and UV = 2a + 1, what is the length of RS?
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Given ∆ABC ≅ ∆XYZ, where AC = 5y, XZ = 3y+8, What is the value of y?
Given ∆ABC ≅ ∆XYZ, where AC = 5y, XZ = 3y+8, What is the value of y?
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Given ∆PQR ≅ ∆STU, ∠P = 2b +3, ∠S = 5b -9, what the measure of ∠P?
Given ∆PQR ≅ ∆STU, ∠P = 2b +3, ∠S = 5b -9, what the measure of ∠P?
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If ∆ABC ≅ ∆DEF, and AB = 6, BC = 8, and AC = 10, what is the perimeter of ∆DEF?
If ∆ABC ≅ ∆DEF, and AB = 6, BC = 8, and AC = 10, what is the perimeter of ∆DEF?
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If two triangles are congruent, which of the following statements is always true about their corresponding parts?
If two triangles are congruent, which of the following statements is always true about their corresponding parts?
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What does CPCTC stand for, and how is it used in geometry?
What does CPCTC stand for, and how is it used in geometry?
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Given two triangles, LMN and PQR, are congruent (LMN PQR), and it is known that side LM corresponds with side PQ and side MN corresponds with side QR, with L = 50 and N = 70, what is the measure of R?
Given two triangles, LMN and PQR, are congruent (LMN PQR), and it is known that side LM corresponds with side PQ and side MN corresponds with side QR, with L = 50 and N = 70, what is the measure of R?
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If ABC DEF, and the length of AB is 8cm, and EF is 10cm, and AC is 12cm, what is the length of DE?
If ABC DEF, and the length of AB is 8cm, and EF is 10cm, and AC is 12cm, what is the length of DE?
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Which of the following is NOT a corresponding part of congruent triangles?
Which of the following is NOT a corresponding part of congruent triangles?
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In two congruent triangles, if one angle in the first triangle measures $90^{\circ}$ and another angle measures $30^{\circ}$, what must be the measure of the corresponding angles in the second triangle?
In two congruent triangles, if one angle in the first triangle measures $90^{\circ}$ and another angle measures $30^{\circ}$, what must be the measure of the corresponding angles in the second triangle?
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Given ABC XYZ, which of the following statements is true?
Given ABC XYZ, which of the following statements is true?
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Two triangles, RST and UVW, are congruent. If RS = 5cm, ST = 7cm, and RT = 9cm, what are the lengths of corresponding sides of UVW?
Two triangles, RST and UVW, are congruent. If RS = 5cm, ST = 7cm, and RT = 9cm, what are the lengths of corresponding sides of UVW?
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Given that ∆PQR ≅ ∆STU, what does the statement ∠Q ≅ ∠T imply about the respective vertices?
Given that ∆PQR ≅ ∆STU, what does the statement ∠Q ≅ ∠T imply about the respective vertices?
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If ∆LMN ≅ ∆XYZ, and segment LM measures 5 cm, which side of ∆XYZ also measures 5 cm?
If ∆LMN ≅ ∆XYZ, and segment LM measures 5 cm, which side of ∆XYZ also measures 5 cm?
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Given ∆ABC ≅ ∆DEF, which of the following statements is NOT necessarily true?
Given ∆ABC ≅ ∆DEF, which of the following statements is NOT necessarily true?
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If ∆RST ≅ ∆UVW and m∠R = 60°, and m∠U = 70°, what is the measure of ∠V?
If ∆RST ≅ ∆UVW and m∠R = 60°, and m∠U = 70°, what is the measure of ∠V?
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Consider two congruent triangles ∆ABC and ∆LMN. If it is known that AB ≅ LM, and BC ≅ MN, what part of triangle ∆LMN is congruent to AC?
Consider two congruent triangles ∆ABC and ∆LMN. If it is known that AB ≅ LM, and BC ≅ MN, what part of triangle ∆LMN is congruent to AC?
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Given ∆XYZ ≅ ∆PQR, if XY = 8cm, XZ = 10cm and YZ = 12cm, and PQ = 8cm, what is the measure of PR?
Given ∆XYZ ≅ ∆PQR, if XY = 8cm, XZ = 10cm and YZ = 12cm, and PQ = 8cm, what is the measure of PR?
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Given ∆DEF ≅ ∆GHI, which statement is correct if ∠D = 50°, ∠E = 70° and the side corresponding to side EF has a length of 12cm. Which of the following is true?
Given ∆DEF ≅ ∆GHI, which statement is correct if ∠D = 50°, ∠E = 70° and the side corresponding to side EF has a length of 12cm. Which of the following is true?
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In congruent triangles ∆ABC and ∆XYZ, if AB corresponds to XY, BC corresponds to YZ, and AC corresponds to XZ, which angle is congruent to ∠B?
In congruent triangles ∆ABC and ∆XYZ, if AB corresponds to XY, BC corresponds to YZ, and AC corresponds to XZ, which angle is congruent to ∠B?
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Study Notes
Congruent Triangles
- Congruent triangles have corresponding sides and angles that are equal in measure.
- Corresponding parts of congruent triangles are congruent. (CPCTC)
Solving Corresponding Parts of Congruent Triangles
- Given congruent triangles, find the missing parts by identifying corresponding parts.
- Write corresponding vertices, angles and sides.
- Use CPCTC to solve for unknown values
- Substitute values into equations, and solve for unknown variables (x or y).
- Find the missing angles and sides.
- Match corresponding sides and angles.
Studying That Suits You
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Description
Test your knowledge on congruent triangles and their properties. This quiz focuses on identifying corresponding parts, angles, and sides using the CPCTC method. Solve for unknown values and deepen your understanding of triangle congruence.
