4-1 Practice

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9 Nsɛmmisa

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Draw triangle ABC after a reflection acorss line BC. Label points A', B', and C'.

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Triangle ACA' is a(n) triangle, because .

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When rectangle ABCD is reflected across line EF, the image is DCBA. How do you know that segment AB is congruent to DC?

A. A rectangle has 2 pairs of parallel sides.

B. Any 2 sides of a rectangle are congruent.

C. Congruent pirs of congruent figures are corresponding.

D. Corresponding parts of congruent figures are congruent.

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Triangle FGH is the image of isosceles triangle FEH after a reflection across line HF. Select all the statements that are a result of corresponding parts of congruent triangles being congruent.

A. AEFGH is a rectangle.

B. EFGH has 4 congruent sides.

C. Diagonal FH bisects angles EFG and EHG.

D. Diagonal FH is perpendicular to side FE.

E. Angle FEH is congruent to angle FGH.

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Draw triangle ABC after a reflection acorss line BC. Label points A', B', and C'.

Ɛhia

2

Triangle ACA' is a(n) triangle, because .

When rectangle ABCD is reflected across line EF, the image is DCBA. How do you know that segment AB is congruent to DC?

A. A rectangle has 2 pairs of parallel sides.

B. Any 2 sides of a rectangle are congruent.

C. Congruent pirs of congruent figures are corresponding.

D. Corresponding parts of congruent figures are congruent.

Triangle FGH is the image of isosceles triangle FEH after a reflection across line HF. Select all the statements that are a result of corresponding parts of congruent triangles being congruent.

A. AEFGH is a rectangle.

B. EFGH has 4 congruent sides.

C. Diagonal FH bisects angles EFG and EHG.

D. Diagonal FH is perpendicular to side FE.

E. Angle FEH is congruent to angle FGH.

Triangles FAD and DCE are translations of triangle ABC. Select all the statements that must be true.

A. Points B, A, and F are collinear.

B. The measure of angle BCA is the same as the measure of angle CED.

C. Line AD is parallel to line BC.

D. The measure of angle CED is the same as the measure of angle FAD.

E. The measure of angle DAC is the same as the measure of angle BCA.

F. Triangle ADC is a reflection of triangle FAD.

Explain why points D, A, and E are collinear.

Fill in the blanks to explain why line DE is parallel to line BC:

Angle DAB and angle CBA are . Because triangle BAD is congruent to triangle ABC, angles DAB and CBA are .

Select any figures that are the result of a rigid transformation of quadrilateral ABCD.

Select all of the transformations necessary to take ABCD to figure DJLK.

Translate along directed line segment AD.

Rotate around point D until B becomes L.

Reflect across line DK.

Translate along directed line segment CK.

Rotate around point K until C becomes L.